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Titlebook: Lectures from Markov Processes to Brownian Motion; Kai Lai Chung Textbook 19821st edition Springer Science+Business Media New York 1982 Br

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书目名称Lectures from Markov Processes to Brownian Motion
编辑Kai Lai Chung
视频video
概述Contains 200 pages of new material on markov chains, ray processes, and time symmetry
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Lectures from Markov Processes to Brownian Motion;  Kai Lai Chung Textbook 19821st edition Springer Science+Business Media New York 1982 Br
描述This book evolved from several stacks of lecture notes written over a decade and given in classes at slightly varying levels. In transforming the over­ lapping material into a book, I aimed at presenting some of the best features of the subject with a minimum of prerequisities and technicalities. (Needless to say, one man‘s technicality is another‘s professionalism. ) But a text frozen in print does not allow for the latitude of the classroom; and the tendency to expand becomes harder to curb without the constraints of time and audience. The result is that this volume contains more topics and details than I had intended, but I hope the forest is still visible with the trees. The book begins at the beginning with the Markov property, followed quickly by the introduction of option al times and martingales. These three topics in the discrete parameter setting are fully discussed in my book A Course In Probability Theory (second edition, Academic Press, 1974). The latter will be referred to throughout this book as the Course, and may be considered as a general background; its specific use is limited to the mate­ rial on discrete parameter martingale theory cited in § 1. 4. Apart from t
出版日期Textbook 19821st edition
关键词Brownian motion; Brownsche Bewegung; Markov; Markov chain; Markov process; Markov property; Markowscher Pr
版次1
doihttps://doi.org/10.1007/978-1-4757-1776-1
isbn_ebook978-1-4757-1776-1Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer Science+Business Media New York 1982
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Hunt Process,Let ..... T} be a (homogeneous) Markov process with state space ..... and transition function ..., as specified in §1.1 and §1.2. Here .. is the .. defined in §2.3. Such a process is called a . iff
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Brownian Motion,In this chapter the state space E is the d-dimensional Euclidean space ... 1 ; ? is the classical Borel field on ..., the sets . ± . are the vectorial sum and difference of . and ., namely the set of . where . When . this is written as . the set . is written as — ., where . is the zero point (origin) of ...
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https://doi.org/10.1007/978-1-4757-1776-1Brownian motion; Brownsche Bewegung; Markov; Markov chain; Markov process; Markov property; Markowscher Pr
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