Markov processes, Gaussian processes, and local times:
This book was first published in 2006. Written by two of the foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to certain associated Gaussian processes. It builds to this material through self-contained but har...
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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
Schriftenreihe: | Cambridge studies in advanced mathematics
100 |
Links: | https://doi.org/10.1017/CBO9780511617997 |
Zusammenfassung: | This book was first published in 2006. Written by two of the foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to certain associated Gaussian processes. It builds to this material through self-contained but harmonized 'mini-courses' on the relevant ingredients, which assume only knowledge of measure-theoretic probability. The streamlined selection of topics creates an easy entrance for students and experts in related fields. The book starts by developing the fundamentals of Markov process theory and then of Gaussian process theory, including sample path properties. It then proceeds to more advanced results, bringing the reader to the heart of contemporary research. It presents the remarkable isomorphism theorems of Dynkin and Eisenbaum and then shows how they can be applied to obtain new properties of Markov processes by using well-established techniques in Gaussian process theory. This original, readable book will appeal to both researchers and advanced graduate students. |
Umfang: | 1 Online-Ressource (x, 620 Seiten) |
ISBN: | 9780511617997 |
Internformat
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245 | 1 | 0 | |a Markov processes, Gaussian processes, and local times |c Michael B. Marcus, Jay Rosen |
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264 | 1 | |a Cambridge |b Cambridge University Press |c 2006 | |
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490 | 1 | |a Cambridge studies in advanced mathematics |v 100 | |
520 | |a This book was first published in 2006. Written by two of the foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to certain associated Gaussian processes. It builds to this material through self-contained but harmonized 'mini-courses' on the relevant ingredients, which assume only knowledge of measure-theoretic probability. The streamlined selection of topics creates an easy entrance for students and experts in related fields. The book starts by developing the fundamentals of Markov process theory and then of Gaussian process theory, including sample path properties. It then proceeds to more advanced results, bringing the reader to the heart of contemporary research. It presents the remarkable isomorphism theorems of Dynkin and Eisenbaum and then shows how they can be applied to obtain new properties of Markov processes by using well-established techniques in Gaussian process theory. This original, readable book will appeal to both researchers and advanced graduate students. | ||
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Datensatz im Suchindex
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spelling | Marcus, Michael B. Markov processes, Gaussian processes, and local times Michael B. Marcus, Jay Rosen Markov Processes, Gaussian Processes, & Local Times Cambridge Cambridge University Press 2006 1 Online-Ressource (x, 620 Seiten) txt c cr Cambridge studies in advanced mathematics 100 This book was first published in 2006. Written by two of the foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to certain associated Gaussian processes. It builds to this material through self-contained but harmonized 'mini-courses' on the relevant ingredients, which assume only knowledge of measure-theoretic probability. The streamlined selection of topics creates an easy entrance for students and experts in related fields. The book starts by developing the fundamentals of Markov process theory and then of Gaussian process theory, including sample path properties. It then proceeds to more advanced results, bringing the reader to the heart of contemporary research. It presents the remarkable isomorphism theorems of Dynkin and Eisenbaum and then shows how they can be applied to obtain new properties of Markov processes by using well-established techniques in Gaussian process theory. This original, readable book will appeal to both researchers and advanced graduate students. Rosen, Jay 1948- Erscheint auch als Druck-Ausgabe 9780521863001 Erscheint auch als Druck-Ausgabe 9781107403758 |
spellingShingle | Marcus, Michael B. Markov processes, Gaussian processes, and local times |
title | Markov processes, Gaussian processes, and local times |
title_alt | Markov Processes, Gaussian Processes, & Local Times |
title_auth | Markov processes, Gaussian processes, and local times |
title_exact_search | Markov processes, Gaussian processes, and local times |
title_full | Markov processes, Gaussian processes, and local times Michael B. Marcus, Jay Rosen |
title_fullStr | Markov processes, Gaussian processes, and local times Michael B. Marcus, Jay Rosen |
title_full_unstemmed | Markov processes, Gaussian processes, and local times Michael B. Marcus, Jay Rosen |
title_short | Markov processes, Gaussian processes, and local times |
title_sort | markov processes gaussian processes and local times |
work_keys_str_mv | AT marcusmichaelb markovprocessesgaussianprocessesandlocaltimes AT rosenjay markovprocessesgaussianprocessesandlocaltimes AT marcusmichaelb markovprocessesgaussianprocesseslocaltimes AT rosenjay markovprocessesgaussianprocesseslocaltimes |