---

＜E-Book＞
Local Limit Theorems for Inhomogeneous Markov Chains / by Dmitry Dolgopyat, Omri M. Sarig
(Lecture Notes in Mathematics. ISSN:16179692 ; 2331)

Edition	1st ed. 2023.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2023
Language	English
Size	XIII, 342 p. 1 illus. in color : online resource
Authors	*Dolgopyat, Dmitry author Sarig, Omri M author SpringerLink (Online service)
Subjects	LCSH:Probabilities LCSH:Stochastic processes LCSH:Dynamical systems FREE:Probability Theory FREE:Stochastic Processes FREE:Dynamical Systems
Notes	This book extends the local central limit theorem to inhomogeneous Markov chains whose state spaces and transition probabilities are allowed to change in time. Such chains are used to model Markovian systems depending on external time-dependent parameters. It develops a new general theory of local limit theorems for additive functionals of Markov chains, in the regimes of local, moderate, and large deviations, and provides nearly optimal conditions for the classical expansions, as well as asymptotic corrections when these conditions fail. Applications include local limit theorems for independent but not identically distributed random variables, Markov chains in random environments, and time-dependent perturbations of homogeneous Markov chains. The inclusion of numerous examples, a comprehensive review of the literature, and an account of the historical background of the subject make this self-contained book accessible to graduate students. It will also be useful for researchersin probability and ergodic theory who are interested in asymptotic behaviors, random walks in random environments, random dynamical systems and non-stationary systems HTTP:URL=https://doi.org/10.1007/978-3-031-32601-1

 Similar Items