An Introduction to Markov Processes by Daniel W Stroock

An Introduction to Markov Processes by Daniel W Stroock

This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including students from engineering, economics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes. Applications are dispersed throughout the book. In addition, a whole chapter is devoted to reversible processes and the use of their associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm. The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing is the section with a new technique for computing stationary measures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for spanning trees in a connected graph.

Daniel Stroock has held positions at NYU, the University of Colorado, and MIT. In addition, he has visited and lectured at many universities throughout the world. He has authored several books on analysis and various aspects of probability theory and their application to partial differential equations and differential geometry.

SKU	Nicht verfügbar
ISBN 13	9783642405228
ISBN 10	3642405223
Titel	An Introduction to Markov Processes
Autor	Daniel W Stroock
Serie	Graduate Texts In Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Hardback
Verlag	Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Erscheinungsjahr	2013-11-08
Seitenanzahl	203
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar