Ergodic Theory of Random Transformations

Language: English

Published by Birkhäuser, Birkhäuser Jun 2012, 2012

1468491776 / 9781468491777

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This item is printed on demand - Print on Demand Titel. Neuware -Ergodic theory of dynamical systems i.e., the qualitative analysis of iterations of a single transformation is nowadays a well developed theory. In 1945 S. Ulam and J. von Neumann in their short note [44] suggested to study ergodic theorems for the more general situation when one applies in turn different transforma tions chosen at random. Their program was fulfilled by S. Kakutani [23] in 1951. 'Both papers considered the case of transformations with a common invariant measure. Recently Ohno [38] noticed that this condition was excessive. Ergodic theorems are just the beginning of ergodic theory. Among further major developments are the notions of entropy and characteristic exponents. The purpose of this book is the study of the variety of ergodic theoretical properties of evolution processes generated by independent applications of transformations chosen at random from a certain class according to some probability distribution. The book exhibits the first systematic treatment of ergodic theory of random transformations i.e., an analysis of composed actions of independent random maps. This set up allows a unified approach to many problems of dynamical systems, products of random matrices and stochastic flows generated by stochastic differential equations.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 224 pp. Englisch.…

Seller Inventory # 9781468491777

Title
Ergodic Theory of Random Transformations
Author
Yuri Kifer
Publisher
Birkhäuser, Birkhäuser Jun 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1468491776
ISBN 13
9781468491777
Item weight
332 grams
Dimensions
229x152x13 mm

buchversandmimpf2000

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