| The Dynkin Festschrift: Markov Processes and Their Applications Softcover Repri Edition Contributor(s): Freidlin, Mark I. (Editor) |
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ISBN: 1461266912 ISBN-13: 9781461266914 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General |
| Dewey: 519.23 |
| Series: Progress in Probability |
| Physical Information: 0.91" H x 6.14" W x 9.21" (1.38 lbs) 416 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |