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math.PR2025
Invariant measure for the process viewed from the particle for 2D random walks in Dirichlet environment
Adrien Perrel, Christophe Sabot
In this paper, we consider random walks in Dirichlet random environment (RWDE) on . We prove that, if the RWDE is recurrent (which is strongly conjectured when the we…
math.PR2005
Markov chains in a Dirichlet Environment and hypergeometric integrals
Christophe Sabot
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 partic…