Ergodic Behavior of Markov Processes With Applications to Limit Theorems

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 s...

Full description

Bibliographic Details
Main Author: Kulik, Alexei
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2017, ©2018
Series:De Gruyter Studies in Mathematics
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Table of Contents:
  • Part I: Ergodic Rates for Markov Chains and Processes
  • Markov Chains with Discrete State Spaces
  • General Markov Chains: Ergodicity in Total Variation
  • MarkovProcesseswithContinuousTime
  • Weak Ergodic Rates
  • Part II: Limit Theorems
  • The Law of Large Numbers and the Central Limit Theorem
  • Functional Limit Theorems