activity
20052026
most citedIntegrability of exit times and ballisticity for random walks in Dirichlet environment

33 citations · 105 across the 13 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.PR2009★ 2 cited

A note on the recurrence of edge reinforced random walks

Laurent Tournier

We give a short proof of Theorem 2.1 from [MR07], stating that the linearly edge reinforced random walk (ERRW) on a locally finite graph is recurrent if and only if it returns to i…

math.PR2009★ 33 cited

Reversed Dirichlet environment and directional transience of random walks in Dirichlet random environment

Christophe Sabot, Laurent Tournier

We consider random walks in a random environment that is given by i.i.d. Dirichlet distributions at each vertex of Z^d or, equivalently, oriented edge reinforced random walks on Z^…