English

Coupling for features of random walks

Probability 2019-10-09 v1

Abstract

We use coupling to study the time taken until the distribution of a statistic on a Markov chain is close to its stationary distribution. Coupling is a common technique used to obtain upper bounds on mixing times of Markov chains, and we explore how this technique may be used to obtain bounds on the mixing of a statistic instead.

Keywords

Cite

@article{arxiv.1910.03265,
  title  = {Coupling for features of random walks},
  author = {Graham White},
  journal= {arXiv preprint arXiv:1910.03265},
  year   = {2019}
}
R2 v1 2026-06-23T11:37:21.255Z