Local Limit Theorems for Inhomogeneous Markov Chains Page 1 Lecture Notes in Mathematics
2331 Dmitry Dolgopyat Omri M. Sarig Local Limit Theorems for Inhomogeneous Markov Chains …

Given a sequence of numbers (p_n) _ n ≥ 2 (pn) n≥ 2 in 0, 1, consider the following
experiment. First, we flip a fair coin and then, at step n, we turn the coin over to the other side …

In this work, we consider a finite-state inhomogeneous-time Markov chain whose
probabilities of transition from one state to another tend to decrease over time. This can be …

This book extends the local central limit theorem to Markov chains whose state spaces and
transition probabilities are allowed to change in time. Such chains are used to model …

We analyze the variance of S N = f 1 ( X 1 , X 2 ) + ⋯ + f N ( X N , X N + 1 ) \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …

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We prove the local limit theorem for ℙ (SN− z N∈(a, b)) when z N− 𝔼 (SN) Var (SN)
converges to a finite limit and f is reducible. In the reducible case, the asymptotic behavior of …

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