Invariant Probabilities of Transition Functions

種類:

電子ブック

責任表示:

by Radu Zaharopol

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2014

著者名:

• Zaharopol, Radu
• SpringerLink (Online service)

シリーズ名:

Probability and Its Applications ;

ISBN:

9783319057231 [3319057235]    

注記:

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 t

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