{"title":"Kr Parthasarathy","description":null,"products":[{"product_id":"probability-measures-on-metric-spaces-book-kr-parthasarathy-9780821838891","title":"Probability Measures on Metric Spaces","description":"Having been out of print for over 10 years, the AMS is delighted to bring this classic volume back to the mathematical community. With this fine exposition, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which he views as an alternative approach to the general theory of stochastic processes). After a general description of the basics of topology on the set of measures, he discusses regularity, tightness, and perfectness of measures, properties of sampling distributions, and metrizability and compactness theorems.Next, he describes arithmetic properties of probability measures on metric groups and locally compact abelian groups. Covered in detail are notions such as decomposability, infinite divisibility, idempotence, and their relevance to limit theorems for 'sums' of infinitesimal random variables. The book concludes with numerous results related to limit theorems for probability measures on Hilbert spaces and on the spaces $C[0,1]$. \"\"The Mathematical Reviews\"\" comments about the original edition of this book are as true today as they were in 1967. It remains a compelling work and a priceless resource for learning about the theory of probability measures. The volume is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50363033321745,"sku":"CIN082183889XG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/082183889X.jpg?v=1763479199"},{"product_id":"introduction-to-quantum-stochastic-calculus-book-kr-parthasarathy-9783034897112","title":"An Introduction to Quantum Stochastic Calculus","description":"\"Elegantly written, with obvious appreciation for fine points of higher mathematics...most notable is [the] author's effort to weave classical probability theory into [a] quantum framework.\" – The American Mathematical Monthly   \"This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students.\" – Mathematical Reviews   An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features:   The origin of Ito's correction formulae for Brownian motion and the Poisson process can be traced to communication relations or, equivalently, the uncertainty principle.  Quantum stochastic interpretation enables the possibility of seeing new relationships between fermion and boson fields.  Quantum dynamical semigroups as well as classical Markov semigroups are realized through unitary operator evolutions.   The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52454694912273,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52454695797009,"sku":"NLS9783034897112","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034897112.jpg?v=1759371946"},{"product_id":"introduction-to-quantum-stochastic-calculus-book-kr-parthasarathy-9783034805650","title":"An Introduction to Quantum Stochastic Calculus","description":"An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52586376921361,"sku":"NLS9783034805650","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52761072533777,"sku":"NIN9783034805650","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034805650.jpg?v=1761054526"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-kr-parthasarathy.oembed","provider":"World of Books ","version":"1.0","type":"link"}