Polynomials Associated with Finite Markov Chains
Combinatorics
2014-12-31 v1 Probability
Abstract
Given a finite Markov chain, we investigate the first minors of the transition matrix of a lifting of this Markov chain to covering trees. In a simple case we exhibit a nice factorisation of these minors, and we conjecture that it holds more generally.
Cite
@article{arxiv.1412.8682,
title = {Polynomials Associated with Finite Markov Chains},
author = {Philippe Biane},
journal= {arXiv preprint arXiv:1412.8682},
year = {2014}
}