The Dynkin Festschrift : Markov Processes and their Applications

Language: English

Published by Birkhäuser, 2012

1461266912 / 9781461266914

Series: Book 20 of 63 - Progress in Probability

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Druck auf Anfrage Neuware - Printed after ordering - Onishchik, A. A. Kirillov, and E. B. Vinberg, who obtained their first results on Lie groups in Dynkin's seminar. At a later stage, the work of the seminar was greatly enriched by the active participation of 1. 1. Pyatetskii Shapiro. As already noted, Dynkin started to work in probability as far back as his undergraduate studies. In fact, his first published paper deals with a problem arising in Markov chain theory. The most significant among his earliest probabilistic results concern sufficient statistics. In [15] and [17], Dynkin described all families of one-dimensional probability distributions admitting non-trivial sufficient statistics. These papers have considerably influenced the subsequent research in this field. But Dynkin's most famous results in probability concern the theory of Markov processes. Following Kolmogorov, Feller, Doob and Ito, Dynkin opened a new chapter in the theory of Markov processes. He created the fundamental concept of a Markov process as a family of measures corresponding to var ious initial times and states and he defined time homogeneous processes in terms of the shift operators ()t. In a joint paper with his student A.…

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Title
The Dynkin Festschrift : Markov Processes and their Applications
Author
Mark I. Freidlin
Publisher
Birkhäuser
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461266912
ISBN 13
9781461266914
Item weight
680 grams
Dimensions
235x155x25 mm
Series
Book 20 of 63: Progress in Probability

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