Markov chains in a Dirichlet Environment and hypergeometric integrals
Probability
2007-05-23 v1 Differential Geometry
Abstract
The aim of this text is to establish some relations between Markov chains in Dirichlet Environments on directed graphs and certain hypergeometric integrals associated with a particular arrangement of hyperplanes. We deduce from these relations and the computation of the connexion obtained by moving one hyperplane of the arrangement some new relations on important functionals of the Markov chain.
Cite
@article{arxiv.math/0510236,
title = {Markov chains in a Dirichlet Environment and hypergeometric integrals},
author = {Christophe Sabot},
journal= {arXiv preprint arXiv:math/0510236},
year = {2007}
}
Comments
6 pages, preliminary note