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.
Publié le : 2002-07-05
Classification:
arrangement of hyperplanes,
Markov chains,
Random environments,
hypergeometric integrals,
arrangement of hyperplanes.,
60K37,33C70,
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR],
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-00011151,
author = {Sabot, Christophe},
title = {Markov chains in a Dirichlet Environment and hypergeometric integrals},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00011151}
}
Sabot, Christophe. Markov chains in a Dirichlet Environment and hypergeometric integrals. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00011151/