Navigation überspringen
Universitätsbibliothek Heidelberg
Standort: ---
Exemplare: ---

+ Andere Auflagen/Ausgaben
 Online-Ressource
Verfasst von:Dolgopyat, Dmitry [VerfasserIn]   i
 Sarig, Omri [VerfasserIn]   i
Titel:Local limit theorems for inhomogeneous Markov chains
Verf.angabe:Dmitry Dolgopyat, Omri M. Sarig
Verlagsort:Cham
Verlag:Springer
Jahr:2023
Umfang:1 Online-Ressource
Gesamttitel/Reihe:Lecture Notes in Mathematics ; 2331
ISBN:978-3-031-32601-1
Abstract: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 researchers in probability and ergodic theory who are interested in asymptotic behaviors, random walks in random environments, random dynamical systems and non-stationary systems.
DOI:doi:10.1007/978-3-031-32601-1
URL:Resolving-System: https://doi.org/10.1007/978-3-031-32601-1
 DOI: https://doi.org/10.1007/978-3-031-32601-1
Schlagwörter:(s)Markov-Kette   i / (s)Zeitabhängige Zufallsvariable   i / (s)Lokaler Grenzwertsatz   i / (s)Additives Funktional   i / (s)Große Abweichung   i / (s)Zufälliges dynamisches System   i / (s)Nichtstationärer Prozess   i
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe: Dolgopyat, Dmitry, 1972 - : Local limit theorems for inhomogeneous Markov chains. - Cham : Springer, 2023. - xiii, 340 Seiten
K10plus-PPN:1854643665
 
 
Lokale URL UB: Zum Volltext

Permanenter Link auf diesen Titel (bookmarkfähig):  https://katalog.ub.uni-heidelberg.de/titel/69107371   QR-Code

zum Seitenanfang