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Invariant Probabilities of Transition Functions

BuchGebunden
389 Seiten
Englisch
Springererschienen am16.07.20142014
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.mehr
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EUR106,99
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Produkt

KlappentextThe 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.
Zusammenfassung
Suitable for advanced graduate courses

Includes proofs of results published for the first time

Includes examples and informative appendices

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-319-05722-4
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2014
Erscheinungsdatum16.07.2014
Auflage2014
ReiheProbability and Its Applications
Seiten389 Seiten
SpracheEnglisch
Gewicht719 g
IllustrationenXVIII, 389 p.
Artikel-Nr.31291052

Inhalt/Kritik

Inhaltsverzeichnis
âIntroduction.- 1.Transition Probabilities .- 2.Transition Functions .- 3.Vector Integrals and A.E. Convergence .- 4.Special Topics.- 5.The KBBY Ergodic Decomposition, Part I.- 6.The KBBY Ergodic Decomposition, Part II.- 7.Feller Transition Functions.- Appendices: A.Semiflows and Flows: Introduction.- B.Measures and Convolutions.- Bibliography.- Index.mehr
Kritik
"The book is written with a high precision regarding definitions, notation, symbols and proofs. ... The book may serve specialists as a comprehensive review of the topic. On the other hand, because it is so clearly written and almost self-contained, it can be recommended as a perfect primer for beginners. ... The monograph is written for readers searching for an updated guide to functional methods of Markov (discrete- or continuous-time) processes." (Wojciech Bartoszek, Mathematical Reviews, November, 2015)
"The present book is designed to provide a useful and complete presentation of the ergodic decomposition for transition functions defined on locally compact separable metric spaces. ... The book is of great interest not only to research workers in the field of dynamical systems and the theory of Markov processes but also to scientists such asbiologists, physicists, etc. who need relatively straightforward rigorous mathematical methods in their studies and research as well." (Chryssoula Ganatsiou, zbMATH, Vol. 1302, 2015)mehr

Schlagworte