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Progress in Probability

The Dynkin Festschrift

Markov Processes and their Applications

Editors: Freidlin, Mark (Ed.)

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About this book

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.

Table of contents (23 chapters)

Table of contents (23 chapters)
  • Process Level Large Deviations for a Class of Piecewise Homogeneous Random Walks

    Pages 1-59

    Blinovskii, V. M. (et al.)

  • Mutual Singularity of Genealogical Structures of Fleming-Viot and Continuous Branching Processes

    Pages 61-83

    Dawson, Donald A. (et al.)

  • Regular Conditional Expectations and the Continuum Hypothesis

    Pages 85-93

    Evstigneev, I. V.

  • Necessary and Sufficient Conditions for Weak Convergence of One-Dimensional Markov Processes

    Pages 95-109

    Freidlin, Mark I. (et al.)

  • Inverse Subordination of Excessive Functions

    Pages 111-131

    Getoor, R. K. (et al.)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4612-0279-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA in USD
  • ISBN 978-1-4612-6691-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Dynkin Festschrift
Book Subtitle
Markov Processes and their Applications
Editors
  • Mark Freidlin
Series Title
Progress in Probability
Series Volume
34
Copyright
1994
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0279-0
DOI
10.1007/978-1-4612-0279-0
Softcover ISBN
978-1-4612-6691-4
Series ISSN
1050-6977
Edition Number
1
Number of Pages
XXXII, 416
Topics

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