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Author Kulik, Alexei, author.

Title Ergodic behavior of Markov processes : with applications to limit theorems / Alexei Kulik
Published Berlin ; Boston : Walter de Gruyter GmbH, [2018]
©2018

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Description 1 online resource (x, 256 pages)
Series De Gruyter studies in mathematics, 0179-0986 ; volume 67
De Gruyter studies in mathematics ; 67.
Contents Markov chains with discrete state spaces -- General Markov chains: ergodicity in total variation -- Markov processes with continuous time -- Weak ergodic rates -- The law of large numbers and the central limit theorem -- Functional limit theorems
Summary The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples.-- Provided by publisher
Bibliography Includes bibliographical references (pages 249-254) and index
Notes Online resource; title from PDF title page (EBSCO, viewed February 6, 2018)
Subject Markov processes -- Textbooks
Ergodic theory.
MATHEMATICS -- Applied.
MATHEMATICS -- Probability & Statistics -- General.
Ergodic theory
Markov processes
Genre/Form Textbooks
Form Electronic book
ISBN 9783110458947
3110458942
9783110458718
3110458713
9783110458930
3110458934
3110458705
9783110458701