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Markov chains in a Dirichlet Environment and hypergeometric integrals

Year: 2005

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0510236

Author: Sabot, Christophe

Institutions: École Normale Supérieure de Lyon, Unité de Mathématiques Pures et Appliquées

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949075790

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