Markov chains in a Dirichlet Environment and hypergeometric integrals

Details Markov chains in a Dirichlet Environment and hypergeometric integrals Markov chains in a Dirichlet Environment and hypergeometric integrals

2005-10-11

arxiv.org/abs/math/0510236v1

Mathematics

Probability

6 pages, preliminary note

Scientific paper

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.

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