| 书目名称 | Invariant Probabilities of Transition Functions | | 编辑 | Radu Zaharopol | | 视频video | | | 概述 | Suitable for advanced graduate courses.Includes proofs of results published for the first time.Includes examples and informative appendices.Includes supplementary material: | | 丛书名称 | Probability and Its Applications | | 图书封面 |  | | 描述 | .The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated using transition functions defined by flows, semiflows, and one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 are extended to transition functions. The proofs of the results obtained are new..For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structure of the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizations of the supports of various types of i | | 出版日期 | Book 2014 | | 关键词 | 47A35, 37A30, 37A17, 60J25, 37A50, 37A10, 28D10; Markov processes; convolutions; ergodic decomposition; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-05723-1 | | isbn_softcover | 978-3-319-35776-8 | | isbn_ebook | 978-3-319-05723-1Series ISSN 1431-7028 | | issn_series | 1431-7028 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 18:49:18
