{"title":"Probability Theory And Stochastic Modelling","description":"\u003cp\u003eDelve into the complexities of chance with the Probability Theory and Stochastic Modelling series. Perfect for maths enthusiasts and researchers, explore advanced concepts in probability and statistical modelling.\u003c\/p\u003e","products":[{"product_id":"markov-renewal-and-piecewise-deterministic-processes-book-christiane-cocozza-thivent-9783030704469","title":"Markov Renewal and Piecewise Deterministic Processes","description":"Tools.- Markov renewal processes and related processes.- First steps with PDMP.- Hitting time distribution.- Intensity of some marked point pocesses.- Generalized Kolmogorov equations.- A martingale approach.- Stability.- Numerical methods.- Switching Processes.- Tools.- Interarrival distribution with several Dirac measures.- Algorithm convergence's proof.","brand":"WoB","offers":[{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":49580979486993,"sku":"GOR013626220","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52661166833937,"sku":"NLS9783030704469","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030704467.jpg?v=1750966590"},{"product_id":"dynamic-markov-bridges-and-market-microstructure-book-albina-danilova-9781493988334","title":"Dynamic Markov Bridges and Market Microstructure","description":"The construction of a Dynamic Markov Bridge, a useful extension of Markov bridge theory, addresses several important questions concerning how financial markets function, among them: how the presence of an insider trader impacts market efficiency;","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49735186153745,"sku":"NGR9781493988334","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52618771988753,"sku":"NLS9781493988334","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1493988336.jpg?v=1789048608"},{"product_id":"stochastic-control-theory-book-makiko-nisio-9784431551225","title":"Stochastic Control Theory","description":"This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.  First we consider completely observable control problems with finite horizons.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49736632795409,"sku":"NGR9784431551225","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52338808258833,"sku":"NLS9784431551225","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/4431551220.jpg?v=1750775086"},{"product_id":"foundations-of-modern-probability-book-olav-kallenberg-9783030618735","title":"Foundations of Modern Probability","description":"Getoor, MetrikaFrom the reviews of the second edition:   This  edition presents  more material in the concise and elegant style of the former edition which by now has become a highly praised standard reference book for many areas of probability theory. M.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49802538156305,"sku":"NGR9783030618735","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030618730.jpg?v=1786109072"},{"product_id":"probabilistic-theory-of-mean-field-games-with-applications-ii-book-franois-delarue-9783319564357","title":"Probabilistic Theory of Mean Field Games with Applications II","description":"This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50095866183953,"sku":"CIN3319564358G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319564358.jpg?v=1789127562"},{"product_id":"methods-of-mathematical-finance-book-ioannis-karatzas-9781493968145","title":"Methods of Mathematical Finance","description":"This book is intended for readers who are quite familiar with probability and stochastic processes but know little or nothing about ?nance. It is written in the de?nition\/theorem\/proof style of modern mathematics and attempts to explain as much of the ?nance motivation and terminology as possible. A mathematical monograph on ?nance can be written today only - cause of two revolutions that have taken place on Wall Street in the latter half of the twentieth century. Both these revolutions began at universities, albeit in economics departments and business schools, not in departments of mathematicsor statistics. Theyhaveledinexorably, however, to anes- lation in the level of mathematics (including probability, statistics, partial di?erential equations and their numerical analysis) used in ?nance, to a point where genuine research problems in the former ?elds are now deeply intertwined with the theory and practice of the latter. The ?rst revolution in ?nance began with the 1952 publication of Po- folio Selection, an early version of the doctoral dissertation of Harry Markowitz. This publication began a shift away from the concept of t- ing to identify the best stock for an investor, and towards the concept of trying to understand and quantify the trade-o's between risk and - turn inherent in an entire portfolio of stocks. The vehicle for this so-called mean variance analysis of portfolios is linear regression; once this analysis is complete, one can then address the optimization problem of choosing the portfolio with the largest mean return, subject to keeping the risk (i. e.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51030254321937,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51030256550161,"sku":"NIN9781493968145","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52336166994193,"sku":"NLS9781493968145","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1493968149.jpg?v=1786106410"},{"product_id":"risk-and-insurance-book-mogens-steffensen-9783030351755","title":"Risk and Insurance","description":"This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51060174094609,"sku":"NIN9783030351755","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52688675012881,"sku":"NLS9783030351755","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030351750.jpg?v=1786095103"},{"product_id":"risk-and-insurance-book-mogens-steffensen-9783030351786","title":"Risk and Insurance","description":"This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51060175569169,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51060178813201,"sku":"NIN9783030351786","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52592183116049,"sku":"NLS9783030351786","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030351785.jpg?v=1750870287"},{"product_id":"random-walks-in-the-quarter-plane-book-guy-fayolle-9783319509280","title":"Random Walks in the Quarter Plane","description":"\u003cp\u003eThis monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as \u003ci\u003eStochastic Networks\u003c\/i\u003e, \u003ci\u003eAnalytic Combinatorics\u003c\/i\u003e, and \u003ci\u003eQuantum Physics\u003c\/i\u003e. This second edition consists of two parts.\u003c\/p\u003e\u003cb\u003ePart I\u003c\/b\u003e is a revised upgrade of the first edition (1999), with additional recent results on the group of a random walk. The theoretical approach given therein has been developed by the authors since the early 1970s. By using \u003ci\u003eComplex Function Theory\u003c\/i\u003e, \u003ci\u003eBoundary\u003c\/i\u003e \u003ci\u003eValue Problems\u003c\/i\u003e, \u003ci\u003eRiemann Surfaces\u003c\/i\u003e, and \u003ci\u003eGalois Theory\u003c\/i\u003e, completely new methods are proposed for solving functional equations of two complex variables, which can also be applied to characterize the \u003ci\u003eTransient Behavior\u003c\/i\u003e of the walks, as well as to find explicit solutions to the one-dimensional \u003ci\u003eQuantum Three-Body Problem\u003c\/i\u003e, or to tackle a new class of \u003ci\u003eIntegrable Systems\u003c\/i\u003e.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003ePart II\u003c\/b\u003e borrows special case-studies from queueing theory (in particular, the famous problem of \u003ci\u003eJoining the Shorter of Two Queues\u003c\/i\u003e) and enumerative combinatorics (\u003ci\u003eCounting\u003c\/i\u003e, \u003ci\u003eAsymptotics\u003c\/i\u003e).\u003c\/p\u003e\u003cp\u003eResearchers and graduate students should find this book very useful.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51064568578321,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51064571461905,"sku":"NIN9783319509280","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52141750354193,"sku":"NLS9783319509280","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319509284.jpg?v=1786615188"},{"product_id":"stochastic-optimal-control-in-infinite-dimension-book-giorgio-fabbri-9783319530666","title":"Stochastic Optimal Control in Infinite Dimension","description":"Providing an introduction to stochastic optimal control in innite dimension, this book gives a complete account of the theory of second-order HJB equations in innite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51064618942737,"sku":"NIN9783319530666","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51333009375505,"sku":"CIN3319530666G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52484367974673,"sku":"NLS9783319530666","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319530666.jpg?v=1751094753"},{"product_id":"concentration-and-gaussian-approximation-for-randomized-sums-book-sergey-bobkov-9783031311482","title":"Concentration and Gaussian Approximation for Randomized Sums","description":"\u003cp\u003eThis book describes extensions of Sudakov's classical result on the concentration of measure phenomenon for weighted sums of dependent random variables. The central topics of the book are weighted sums of random variables and the concentration of their distributions around Gaussian laws. The analysis takes place within the broader context of concentration of measure for functions on high-dimensional spheres. Starting from the usual concentration of Lipschitz functions around their limiting mean, the authors proceed to derive concentration around limiting affine or polynomial functions, aiming towards a theory of higher order concentration based on functional inequalities of log-Sobolev and Poincaré type. These results make it possible to derive concentration of higher order for weighted sums of classes of dependent variables.\u003cbr\u003e\u003cbr\u003eWhile the first part of the book discusses the basic notions and results from probability and analysis which are needed for the remainder of the book, the latter parts provide a thorough exposition of concentration, analysis on the sphere, higher order normal approximation and classes of weighted sums of dependent random variables with and without symmetries.\u003cbr\u003e \u003c\/p\u003e","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51065007800593,"sku":"NIN9783031311482","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52688041869585,"sku":"NLS9783031311482","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031311485.jpg?v=1789043564"},{"product_id":"backward-stochastic-differential-equations-book-jianfeng-zhang-9781493972548","title":"Backward Stochastic Differential Equations","description":"\u003cp\u003eThis book provides a systematic and accessible approach to stochastic differential equations, backward stochastic differential equations, and their connection with partial differential equations, as well as the recent development of the fully nonlinear theory, including nonlinear expectation, second order backward stochastic differential equations, and path dependent partial differential equations. Their main applications and numerical algorithms, as well as many exercises, are included.\u003c\/p\u003e  \u003cp\u003eThe book focuses on ideas and clarity, with most results having been solved from scratch and most theories being motivated from applications. It can be considered a starting point for junior researchers in the field, and can serve as a textbook for a two-semester graduate course in probability theory and stochastic analysis. It is also accessible for graduate students majoring in financial engineering.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51326766809361,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":51326769922321,"sku":"CIN1493972545G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52483497656593,"sku":"NLS9781493972548","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1493972545.jpg?v=1789049078"},{"product_id":"concentration-and-gaussian-approximation-for-randomized-sums-book-sergey-bobkov-9783031311512","title":"Concentration and Gaussian Approximation for Randomized Sums","description":"\u003cp\u003eThis book describes extensions of Sudakov's classical result on the concentration of measure phenomenon for weighted sums of dependent random variables. The central topics of the book are weighted sums of random variables and the concentration of their distributions around Gaussian laws. The analysis takes place within the broader context of concentration of measure for functions on high-dimensional spheres. Starting from the usual concentration of Lipschitz functions around their limiting mean, the authors proceed to derive concentration around limiting affine or polynomial functions, aiming towards a theory of higher order concentration based on functional inequalities of log-Sobolev and Poincaré type. These results make it possible to derive concentration of higher order for weighted sums of classes of dependent variables.\u003cbr\u003e\u003cbr\u003eWhile the first part of the book discusses the basic notions and results from probability and analysis which are needed for the remainder of the book, the latter parts provide a thorough exposition of concentration, analysis on the sphere, higher order normal approximation and classes of weighted sums of dependent random variables with and without symmetries.\u003cbr\u003e \u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51384911167761,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51384912445713,"sku":"NGR9783031311512","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031311515.jpg?v=1786962872"},{"product_id":"marginal-and-functional-quantization-of-stochastic-processes-book-harald-luschgy-9783031454660","title":"Marginal and Functional Quantization of Stochastic Processes","description":"\u003cp\u003eVector Quantization, a pioneering discretization method based on nearest neighbor search, emerged in the 1950s primarily in signal processing, electrical engineering, and information theory. Later in the 1960s, it evolved into an automatic classification technique for generating prototypes of extensive datasets. In modern terms, it can be recognized as a seminal contribution to unsupervised learning through the k-means clustering algorithm in data science.\u003c\/p\u003e\n\n\u003cp\u003eIn contrast, Functional Quantization, a more recent area of study dating back to the early 2000s, focuses on the quantization of continuous-time stochastic processes viewed as random vectors in Banach function spaces. This book distinguishes itself by delving into the quantization of random vectors with values in a Banach space—a unique feature of its content. \u003c\/p\u003e\n\n\u003cp\u003eIts main objectives are twofold: first, to offer a comprehensive and cohesive overview of the latest developments as well as several new results in optimal quantization theory, spanning both finite and infinite dimensions, building upon the advancements detailed in Graf and Luschgy's Lecture Notes volume. Secondly, it serves to demonstrate how optimal quantization can be employed as a space discretization method within probability theory and numerical probability, particularly in fields like quantitative finance. The main applications to numerical probability are the controlled approximation of regular and conditional expectations by quantization-based cubature formulas, with applications to time-space discretization of Markov processes, typically Brownian diffusions, by quantization trees.\u003c\/p\u003e\n\n\u003cp\u003eWhile primarily catering to mathematicians specializing in probability theory and numerical probability, this monograph also holds relevance for data scientists, electrical engineers involved in data transmission, and professionals in economics and logistics who are intrigued by optimal allocation problems.\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51728310436113,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51728310960401,"sku":"NGR9783031454660","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031454669.jpg?v=1786615660"},{"product_id":"convex-stochastic-optimization-book-teemu-pennanen-9783031764318","title":"Convex Stochastic Optimization","description":"This book studies a general class of convex stochastic optimization (CSO) problems that unifies many common problem formulations from operations research, financial mathematics and stochastic optimal control.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51772844507409,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51772844867857,"sku":"GOR014397743","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":52152566153489,"sku":"NGR9783031764318","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031764318.jpg?v=1785920340"},{"product_id":"markov-renewal-and-piecewise-deterministic-processes-book-christiane-cocozza-thivent-9783030704490","title":"Markov Renewal and Piecewise Deterministic Processes","description":"This book is aimed at researchers, graduate students and engineers who would like to be initiated to Piecewise Deterministic Markov Processes (PDMPs). semi-Markov processes completed to become Markov processes.  The last chapter is an opening on processes for which the deterministic flow of the PDMP is replaced with a Markov process.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52140164022545,"sku":"NLS9783030704490","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030704490.jpg?v=1757572970"},{"product_id":"limit-theorems-for-multi-indexed-sums-of-random-variables-book-oleg-klesov-9783662443873","title":"Limit Theorems for Multi-Indexed Sums of Random Variables","description":"Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes.Limit theorems form the backbone of probability theory and statistical theory alike.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52142890549521,"sku":"NLS9783662443873","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662443873.jpg?v=1786442245"},{"product_id":"mathematical-control-theory-for-stochastic-partial-differential-equations-book-qi-l-9783030823337","title":"Mathematical Control Theory for Stochastic Partial Differential Equations","description":"This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52144936780049,"sku":"NLS9783030823337","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030823337.jpg?v=1757591262"},{"product_id":"nonlinear-expectations-and-stochastic-calculus-under-uncertainty-book-shige-peng-9783662599020","title":"Nonlinear Expectations and Stochastic Calculus under Uncertainty","description":"This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in particular, sublinear expectations.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52148502921489,"sku":"NLS9783662599020","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52761912082705,"sku":"NIN9783662599020","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662599020.jpg?v=1757603772"},{"product_id":"random-measures-theory-and-applications-book-olav-kallenberg-9783319415963","title":"Random Measures, Theory and Applications","description":"Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52151877206289,"sku":"NLS9783319415963","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319415963.jpg?v=1785806674"},{"product_id":"asymptotic-theory-of-weakly-dependent-random-processes-book-emmanuel-rio-9783662571910","title":"Asymptotic Theory of Weakly Dependent Random Processes","description":"Ces notes sont consacrees aux inegalites et aux theoremes limites classiques pour les suites de variables aleatoires absolument regulieres ou fortement melangeantes au sens de Rosenblatt.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":52152042127633,"sku":"NGR9783662571910","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52480916914449,"sku":"NLS9783662571910","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662571910.jpg?v=1787222553"},{"product_id":"dynamic-markov-bridges-and-market-microstructure-book-albina-danilova-9781493993994","title":"Dynamic Markov Bridges and Market Microstructure","description":"The construction of a Dynamic Markov Bridge, a useful extension of Markov bridge theory, addresses several important questions concerning how financial markets function, among them: how the presence of an insider trader impacts market efficiency;","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52340838138129,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52340841840913,"sku":"NLS9781493993994","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781493993994.jpg?v=1785925196"},{"product_id":"quasispecies-equation-and-classical-population-models-book-dalmau-joseba-9783031086656","title":"The Quasispecies Equation and Classical Population Models","description":"Along the way, exact formulas are obtained for the quasispecies distribution in the long chain regime, on the sharp peak landscape and on class-dependent fitness landscapes.Finally, several other classical population models are analyzed, with a focus on their dynamical behavior and their links to the quasispecies equation.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52400572268817,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52400572956945,"sku":"NLS9783031086656","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031086656.jpg?v=1785852652"},{"product_id":"stable-convergence-and-stable-limit-theorems-book-harald-luschgy-9783319183282","title":"Stable Convergence and Stable Limit Theorems","description":"The authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52404378534161,"sku":"NLS9783319183282","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53015401890065,"sku":"NIN9783319183282","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319183282.jpg?v=1786046397"},{"product_id":"yosida-approximations-of-stochastic-differential-equations-in-infinite-dimension-book-t-e-govindan-9783319456829","title":"Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications","description":"\u003cp\u003eThis research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. The theory assimilated spans more than 35 years of mathematics, but is developed slowly and methodically in digestible pieces.\u003c\/p\u003e\u003cp\u003eThe book begins with a motivational chapter that introduces the reader to several different models that play recurring roles throughout the book as the theory is unfolded, and invites readers from different disciplines to see immediately that the effort required to work through the theory that follows is worthwhile. From there, the author presents the necessary prerequisite material, and then launchesthe reader into the main discussion of the monograph, namely, Yosida approximations of SDEs, Yosida approximations of SDEs with Poisson jumps, and their applications. Most of the results considered in the main chapters appear for the first time in a book form, and contain illustrative examples on stochastic partial differential equations. The key steps are included in all proofs, especially the various estimates, which help the reader to get a true feel for the theory of Yosida approximations and their use.\u003c\/p\u003e\u003cp\u003eThis work is intended for researchers and graduate students in mathematics specializing in probability theory and will appeal to numerical analysts, engineers, physicists and practitioners in finance who want to apply the theory of stochastic evolution equations. Since the approach is based mainly in semigroup theory, it is amenable to a wide audience including non-specialists in stochastic processes.  \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52406244442385,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52406245196049,"sku":"NLS9783319456829","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319456829.jpg?v=1786700128"},{"product_id":"continuous-time-markov-decision-processes-book-alexey-piunovskiy-9783030549893","title":"Continuous-Time Markov Decision Processes","description":"This book offers a systematic and rigorous treatment of continuous-time Markov decision processes, covering both theory and possible applications to queueing systems, epidemiology, finance, and other fields.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52424188821777,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52424189608209,"sku":"NLS9783030549893","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030549893.jpg?v=1759151112"},{"product_id":"continuous-time-markov-decision-processes-book-alexey-piunovskiy-9783030549862","title":"Continuous-Time Markov Decision Processes","description":"This book offers a systematic and rigorous treatment of continuous-time Markov decision processes, covering both theory and possible applications to queueing systems, epidemiology, finance, and other fields.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52429206683921,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52429207273745,"sku":"NLS9783030549862","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030549862.jpg?v=1759166324"},{"product_id":"probability-on-compact-lie-groups-book-david-applebaum-9783319375793","title":"Probability on Compact Lie Groups","description":"Probability theory on compact Lie groups deals with the interaction between chance and symmetry, a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing).","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52432969171217,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52432969826577,"sku":"NLS9783319375793","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319375793.jpg?v=1786442590"},{"product_id":"stochastic-integration-in-banach-spaces-book-vidyadhar-mandrekar-9783319365220","title":"Stochastic Integration in Banach Spaces","description":"Considering Poisson random measures as the driving sources for stochastic (partial) differential equations allows us to incorporate jumps and to model sudden, unexpected phenomena. By using such equations the present book introduces a new method for modeling the states of complex systems perturbed by random sources over time, such as interest rates in financial markets or temperature distributions in a specific region. It studies properties of the solutions of the stochastic equations, observing the long-term behavior and the sensitivity of the solutions to changes in the initial data. The authors consider an integration theory of measurable and adapted processes in appropriate Banach spaces as well as the non-Gaussian case, whereas most of the literature only focuses on predictable settings in Hilbert spaces. The book is intended for graduate students and researchers in stochastic (partial) differential equations, mathematical finance and non-linear filtering and assumes a knowledge of the required integration theory, existence and uniqueness results and stability theory. The results will be of particular interest to natural scientists and the finance community. Readers should ideally be familiar with stochastic processes and probability theory in general, as well as functional analysis and in particular the theory of operator semigroups. ​","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52433178657041,"sku":"NLS9783319365220","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319365220.jpg?v=1785870592"},{"product_id":"stochastic-integration-in-banach-spaces-book-vidyadhar-mandrekar-9783319128528","title":"Stochastic Integration in Banach Spaces","description":"Considering Poisson random measures as the driving sources for stochastic (partial) differential equations allows us to incorporate jumps and to model sudden, unexpected phenomena. By using such equations the present book introduces a new method for modeling the states of complex systems perturbed by random sources over time, such as interest rates in financial markets or temperature distributions in a specific region. It studies properties of the solutions of the stochastic equations, observing the long-term behavior and the sensitivity of the solutions to changes in the initial data. The authors consider an integration theory of measurable and adapted processes in appropriate Banach spaces as well as the non-Gaussian case, whereas most of the literature only focuses on predictable settings in Hilbert spaces. The book is intended for graduate students and researchers in stochastic (partial) differential equations, mathematical finance and non-linear filtering and assumes a knowledge of the required integration theory, existence and uniqueness results and stability theory. The results will be of particular interest to natural scientists and the finance community. Readers should ideally be familiar with stochastic processes and probability theory in general, as well as functional analysis and in particular the theory of operator semigroups.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52433508499729,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52433509286161,"sku":"NLS9783319128528","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319128528.jpg?v=1789122922"},{"product_id":"stable-convergence-and-stable-limit-theorems-book-harald-luschgy-9783319365190","title":"Stable Convergence and Stable Limit Theorems","description":"The authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept. Stable convergence holds in many limit theorems of probability theory and statistics – such as the classical central limit theorem – which are usually formulated in terms of convergence in distribution. Originated by Alfred Rényi, the notion of stable convergence is stronger than the classical weak convergence of probability measures. A variety of methods is described which can be used to establish this stronger stable convergence in many limit theorems which were originally formulated only in terms of weak convergence. Naturally, these stronger limit theorems have new and stronger consequences which should not be missed by neglecting the notion of stable convergence. The presentation will be accessible to researchers and advanced students at the master's level with a solid knowledge of measure theoretic probability.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52434163106065,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52434163990801,"sku":"NLS9783319365190","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319365190.jpg?v=1786443692"},{"product_id":"asymptotic-theory-of-weakly-dependent-random-processes-book-emmanuel-rio-9783662543221","title":"Asymptotic Theory of Weakly Dependent Random Processes","description":"Ces notes sont consacrees aux inegalites et aux theoremes limites classiques pour les suites de variables aleatoires absolument regulieres ou fortement melangeantes au sens de Rosenblatt.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52435694813457,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52435695141137,"sku":"NLS9783662543221","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662543221.jpg?v=1759184843"},{"product_id":"stochastic-multi-stage-optimization-book-pierre-carpentier-9783319365152","title":"Stochastic Multi-Stage Optimization","description":"The focus of the present volume is stochastic optimization of dynamical systems in discrete time where - by concentrating on the role of information regarding optimization problems - it discusses the related discretization issues. There is a growing need to tackle uncertainty in applications of optimization. For example the massive introduction of renewable energies in power systems challenges traditional ways to manage them. This book lays out basic and advanced tools to handle and numerically solve such problems and thereby is building a bridge between Stochastic Programming and Stochastic Control. It is intended for graduates readers and scholars in optimization or stochastic control, as well as engineers with a background in applied mathematics.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52454083756305,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52454084215057,"sku":"NLS9783319365152","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319365152.jpg?v=1786441671"},{"product_id":"quasispecies-equation-and-classical-population-models-book-joseba-dalmau-9783031086625","title":"The Quasispecies Equation and Classical Population Models","description":"Along the way, exact formulas are obtained for the quasispecies distribution in the long chain regime, on the sharp peak landscape and on class-dependent fitness landscapes.Finally, several other classical population models are analyzed, with a focus on their dynamical behavior and their links to the quasispecies equation.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52454424183057,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52454424871185,"sku":"NLS9783031086625","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031086625.jpg?v=1785880444"},{"product_id":"stochastic-multi-stage-optimization-book-pierre-carpentier-9783319181370","title":"Stochastic Multi-Stage Optimization","description":"The focus of the present volume is stochastic optimization of dynamical systems in discrete time where - by concentrating on the role of information regarding optimization problems - it discusses the related discretization issues. There is a growing need to tackle uncertainty in applications of optimization. For example the massive introduction of renewable energies in power systems challenges traditional ways to manage them. This book lays out basic and advanced tools to handle and numerically solve such problems and thereby is building a bridge between Stochastic Programming and Stochastic Control. It is intended for graduates readers and scholars in optimization or stochastic control, as well as engineers with a background in applied mathematics.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52454521045265,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52454521504017,"sku":"NLS9783319181370","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319181370.jpg?v=1786701007"},{"product_id":"random-ordinary-differential-equations-and-their-numerical-solution-book-xiaoying-han-9789811062643","title":"Random Ordinary Differential Equations and Their Numerical Solution","description":"This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52473405374737,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52473407013137,"sku":"NLS9789811062643","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789811062643.jpg?v=1759840000"},{"product_id":"stochastic-flows-and-jump-diffusions-book-hiroshi-kunita-9789811338007","title":"Stochastic Flows and Jump-Diffusions","description":"This monograph presents a modern treatment of (1) stochastic differential equations and (2) diffusion and jump-diffusion processes. The simultaneous treatment of diffusion processes and jump processes in this book is unique: Each chapter starts from continuous processes and then proceeds to processes with jumps.In the first part of the book, it is shown that solutions of stochastic differential equations define stochastic flows of diffeomorphisms. Then, the relation between stochastic flows and heat equations is discussed. The latter part investigates fundamental solutions of these heat equations (heat kernels) through the study of the Malliavin calculus. The author obtains smooth densities for transition functions of various types of diffusions and jump-diffusions and shows that these density functions are fundamental solutions for various types of heat equations and backward heat equations. Thus, in this book fundamental solutions for heat equations and backward heatequations are constructed independently of the theory of partial differential equations.Researchers and graduate student in probability theory will find this book very useful.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52478954963217,"sku":"NLS9789811338007","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53015577493777,"sku":"NIN9789811338007","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789811338007.jpg?v=1759847952"},{"product_id":"random-walks-in-the-quarter-plane-book-guy-fayolle-9783319845258","title":"Random Walks in the Quarter Plane","description":"\u003cp\u003eThis monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as \u003ci\u003eStochastic Networks\u003c\/i\u003e, \u003ci\u003eAnalytic Combinatorics\u003c\/i\u003e, and \u003ci\u003eQuantum Physics\u003c\/i\u003e. This second edition consists of two parts.\u003c\/p\u003e\u003cb\u003ePart I\u003c\/b\u003e is a revised upgrade of the first edition (1999), with additional recent results on the group of a random walk. The theoretical approach given therein has been developed by the authors since the early 1970s. By using \u003ci\u003eComplex Function Theory\u003c\/i\u003e, \u003ci\u003eBoundary\u003c\/i\u003e \u003ci\u003eValue Problems\u003c\/i\u003e, \u003ci\u003eRiemann Surfaces\u003c\/i\u003e, and \u003ci\u003eGalois Theory\u003c\/i\u003e, completely new methods are proposed for solving functional equations of two complex variables, which can also be applied to characterize the \u003ci\u003eTransient Behavior\u003c\/i\u003e of the walks, as well as to find explicit solutions to the one-dimensional \u003ci\u003eQuantum Three-Body Problem\u003c\/i\u003e, or to tackle a new class of \u003ci\u003eIntegrable Systems\u003c\/i\u003e.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003ePart II\u003c\/b\u003e borrows special case-studies from queueing theory (in particular, the famous problem of \u003ci\u003eJoining the Shorter of Two Queues\u003c\/i\u003e) and enumerative combinatorics (\u003ci\u003eCounting\u003c\/i\u003e, \u003ci\u003eAsymptotics\u003c\/i\u003e).\u003c\/p\u003e\u003cp\u003eResearchers and graduate students should find this book very useful.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52481368129809,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52481369407761,"sku":"NLS9783319845258","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319845258.jpg?v=1787944322"},{"product_id":"yosida-approximations-of-stochastic-differential-equations-in-infinite-dimension-book-t-e-govindan-9783319833477","title":"Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications","description":"\u003cp\u003eThis research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. The theory assimilated spans more than 35 years of mathematics, but is developed slowly and methodically in digestible pieces.\u003c\/p\u003e\u003cp\u003eThe book begins with a motivational chapter that introduces the reader to several different models that play recurring roles throughout the book as the theory is unfolded, and invites readers from different disciplines to see immediately that the effort required to work through the theory that follows is worthwhile. From there, the author presents the necessary prerequisite material, and then launchesthe reader into the main discussion of the monograph, namely, Yosida approximations of SDEs, Yosida approximations of SDEs with Poisson jumps, and their applications. Most of the results considered in the main chapters appear for the first time in a book form, and contain illustrative examples on stochastic partial differential equations. The key steps are included in all proofs, especially the various estimates, which help the reader to get a true feel for the theory of Yosida approximations and their use.\u003c\/p\u003e\u003cp\u003eThis work is intended for researchers and graduate students in mathematics specializing in probability theory and will appeal to numerical analysts, engineers, physicists and practitioners in finance who want to apply the theory of stochastic evolution equations. Since the approach is based mainly in semigroup theory, it is amenable to a wide audience including non-specialists in stochastic processes.  \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52482287010065,"sku":"NLS9783319833477","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53010830786833,"sku":"NIN9783319833477","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319833477.jpg?v=1787046205"},{"product_id":"matrix-exponential-distributions-in-applied-probability-book-mogens-bladt-9781493983773","title":"Matrix-Exponential Distributions in Applied Probability","description":"\u003cp\u003eThis book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution  is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas.\u003c\/p\u003e\n\nThe full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatmenton statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data.\u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003eAimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":52500776026385,"sku":"NGR9781493983773","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781493983773.jpg?v=1788954798"},{"product_id":"theory-of-random-sets-book-ilya-molchanov-9781447174073","title":"Theory of Random Sets","description":"\u003cp\u003eThis monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance.\u003c\/p\u003e  \u003cp\u003eThe present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight.\u003c\/p\u003e  \u003cp\u003eAimed at research level, \u003ci\u003eTheory of Random Sets\u003c\/i\u003e will be an invaluable reference for probabilists; mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory; mathematical statisticians in spatial statistics and uncertainty quantification; specialists in mathematical economics, econometrics, decision theory, and mathematical finance; and electronic and electrical engineers interested in image analysis.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":52500904509713,"sku":"NGR9781447174073","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781447174073.jpg?v=1760139184"},{"product_id":"random-measures-theory-and-applications-book-olav-kallenberg-9783319823928","title":"Random Measures, Theory and Applications","description":"Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52536832688401,"sku":"NLS9783319823928","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319823928.jpg?v=1785776524"},{"product_id":"stochastic-control-theory-book-makiko-nisio-9784431564089","title":"Stochastic Control Theory","description":"This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.    First we consider completely observable control problems with finite horizons.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52542032576785,"sku":"NLS9784431564089","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9784431564089.jpg?v=1786873666"},{"product_id":"lectures-on-monte-carlo-theory-book-pawe-lorek-9783032011893","title":"Lectures on Monte Carlo Theory","description":"\u003cp\u003eThis book presents a broad range of computational techniques based on repeated random sampling, widely known as Monte Carlo methods and sometimes as stochastic simulation. These methods bring together ideas from probability theory, statistics, computer science, and statistical physics, providing tools for solving problems in fields such as operations research, biotechnology, and finance.\u003c\/p\u003e\n\u003cp\u003eTopics include the generation and analysis of pseudorandom numbers (which are intended to imitate truly random numbers on a computer), the design and justification of Monte Carlo algorithms, and advanced approaches such as Markov chain Monte Carlo and stochastic optimization. In contrast to deterministic numerical methods, the outcome of a Monte Carlo algorithm is itself random – and one needs the tools of probability and statistics to interpret these results meaningfully. The theoretical foundations, particularly the law of large numbers and central limit theorem, are combined with practical algorithms that reveal both the strengths and subtleties of stochastic simulation.\u003c\/p\u003e\n\u003cp\u003eThe book includes numerous exercises, both theoretical and computational. Each chapter features step-by-step algorithms, illustrated examples, and results presented through numerical computations, tables, and a variety of plots and figures. All Python code used to produce these results is publicly available, allowing readers to reproduce and explore simulations on their own.\u003c\/p\u003e\n\u003cp\u003eIntended primarily for graduate students and researchers, the exposition focuses on core concepts and intuitive understanding, avoiding excessive formalism. The book is suitable both for self-study and as a course text and offers a clear pathway from foundational principles to modern applications.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":52565398552849,"sku":"NGR9783032011893","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52769980383505,"sku":"NLS9783032011893","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52849951408401,"sku":"NIN9783032011893","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783032011893.jpg?v=1785771216"},{"product_id":"dirichlet-forms-methods-for-poisson-point-measures-and-levy-processes-book-nicolas-bouleau-9783319258188","title":"Dirichlet Forms Methods for Poisson Point Measures and Levy Processes","description":"A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the lent particle method it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mathematical finance) or the random distribution of particles (as in statistical physics). Thanks to the theory of Dirichlet forms, the authors develop a mathematical tool for a quite general class of random Poisson measures and significantly simplify computations of Malliavin matrices of Poisson functionals. The method gives rise to a new explicit calculus that they illustrate on various examples: it consists in adding a particle and then removing it after computing the gradient. Using this method, one can establish absolute continuity of Poisson functionals such as Levy areas, solutions of SDEs driven by Poisson measure and, by iteration, obtain regularity of laws. The authors also give applications to error calculus theory. This book will be of interest to researchers and graduate students in the fields of stochastic analysis and finance, and in the domain of statistical physics. Professors preparing courses on these topics will also find it useful. The prerequisite is a knowledge of probability theory.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52597058044177,"sku":"NLS9783319258188","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":53626134692113,"sku":"NGR9783319258188","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319258188.jpg?v=1761073666"},{"product_id":"ambit-stochastics-book-ole-e-barndorff-nielsen-9783319941288","title":"Ambit Stochastics","description":"\u003cp\u003eDrawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, the first on the subject, provides a reference for this burgeoning field, complete with the applications that have driven its development.\u003c\/p\u003e\n\n\u003cp\u003eUnique to Ambit Stochastics are ambit sets, which allow the delimitation of space-time to a zone of interest, and ambit fields, which are particularly well-adapted to modelling stochastic volatility or intermittency. These attributes lend themselves notably to applications in the statistical theory of turbulence and financial econometrics. In addition to the theory and applications of Ambit Stochastics, the book also contains new theory on the simulation of ambit fields and a comprehensive stochastic integration theory for Volterra processes in a non-semimartingale context.\u003c\/p\u003e\n\n\u003cp\u003eWritten by pioneers in the subject, this book will appeal to researchers and graduate students interested in empirical stochastic modelling.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52598965797137,"sku":"NLS9783319941288","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319941288.jpg?v=1761077145"},{"product_id":"mathematical-control-theory-for-stochastic-partial-differential-equations-book-xu-zhang-9783030823306","title":"Mathematical Control Theory for Stochastic Partial Differential Equations","description":"This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52613690261777,"sku":"NLS9783030823306","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030823306.jpg?v=1761519083"},{"product_id":"ambit-stochastics-book-ole-e-barndorff-nielsen-9783030068028","title":"Ambit Stochastics","description":"\u003cp\u003eDrawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, the first on the subject, provides a reference for this burgeoning field, complete with the applications that have driven its development.\u003c\/p\u003e\n\n\u003cp\u003eUnique to Ambit Stochastics are ambit sets, which allow the delimitation of space-time to a zone of interest, and ambit fields, which are particularly well-adapted to modelling stochastic volatility or intermittency. These attributes lend themselves notably to applications in the statistical theory of turbulence and financial econometrics. In addition to the theory and applications of Ambit Stochastics, the book also contains new theory on the simulation of ambit fields and a comprehensive stochastic integration theory for Volterra processes in a non-semimartingale context.\u003c\/p\u003e\n\n\u003cp\u003eWritten by pioneers in the subject, this book will appeal to researchers and graduate students interested in empirical stochastic modelling.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52617480864017,"sku":"NLS9783030068028","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030068028.jpg?v=1785926061"},{"product_id":"stochastic-evolution-systems-book-boris-l-rozovsky-9783030069339","title":"Stochastic Evolution Systems","description":"This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.  The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52617534570769,"sku":"NLS9783030069339","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030069339.jpg?v=1785766589"},{"product_id":"stochastic-evolution-systems-book-boris-l-rozovsky-9783319948928","title":"Stochastic Evolution Systems","description":"This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.  The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52620230885649,"sku":"NLS9783319948928","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319948928.jpg?v=1761538102"}],"url":"https:\/\/www.worldofbooks.com\/collections\/probability-theory-and-stochastic-modelling-book-series.oembed?page=4","provider":"World of Books ","version":"1.0","type":"link"}