English

Compressing redundant information in Markov chains

Probability 2007-05-23 v2

Abstract

Given a strongly stationary Markov chain and a finite set of stopping rules, we prove the existence of a polynomial algorithm which projects the Markov chain onto a minimal Markov chain without redundant information. Markov complexity is hence defined and tested on some classical problems.

Keywords

Cite

@article{arxiv.math/0605099,
  title  = {Compressing redundant information in Markov chains},
  author = {Giacomo Aletti},
  journal= {arXiv preprint arXiv:math/0605099},
  year   = {2007}
}

Comments

8 pages, 1 figure