Adrien Perrel

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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 $Z^{2}$ . We prove that, if the RWDE is recurrent (which is strongly conjectured when the we…

math.PR2024

Limit theorem for subdiffusive random walk in Dirichlet random environment in dimension $d \geq 3$

Adrien Perrel

We consider random walk in Dirichlet random environment in $Z^{d}, d \geq 3$ , which corresponds to the case where the environment is constructed from i.i.d. transition proba…

Invariant measure for the process viewed from the particle for 2D random walks in Dirichlet environment

Limit theorem for subdiffusive random walk in Dirichlet random environment in dimension d≥3

Limit theorem for subdiffusive random walk in Dirichlet random environment in dimension $d \geq 3$