most citedExact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains

18 citations · 18 across the 1 of their papers we have counts for

collaborators

3 papers

cond-mat.stat-mech2006★ 18 cited

Exact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains

S. Condamin, O. Benichou

We give exact and explicit expressions of mean first-passage times for random walks in a rectangular domain, in both cases of reflecting boundary conditions and periodic boundary c…

cond-mat.stat-mech2005

First-passage times for random walks in bounded domains

S Condamin, O. Benichou, M. Moreau

We present a novel computational method of first-passage times between a starting site and a target site of regular bounded lattices. We derive accurate expressions for all the mom…

cond-mat.stat-mech2005

First exit times and residence times for discrete random walks on finite lattices

S. Condamin, O. Benichou, M. Moreau

In this paper, we derive explicit formulas for the surface averaged first exit time of a discrete random walk on a finite lattice. We consider a wide class of random walks and latt…