164 citations · 204 across the 4 of their papers we have counts for
4 papers
A shortcut through the macroscopic fluctuation theory: a generalised Fick law
Théotim Berlioz, Olivier Bénichou, Aurélien Grabsch
The macroscopic fluctuation theory is a powerful tool to characterise the large scale dynamical properties of diffusive systems, both in- and out-of-equilibrium. It relies on an ac…
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…
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…
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…