788 citations · 6k across the 109 of their papers we have counts for
7 papers · 1 filter
Cover times of random searches
M. Chupeau, O. Bénichou, R. Voituriez
How long does it take a random searcher to visit all sites of a given domain? This time, known as the cover time, is a key observable to quantify the efficiency of exhaustive searc…
Nonlinear response and emerging nonequilibrium micro-structures for biased diffusion in confined crowding environments
O. Bénichou, P. Illien, G. Oshanin +2
We study analytically the dynamics and the micro-structural changes of a host medium caused by a driven tracer particle moving in a confined, quiescent molecular crowding environme…
Contact Kinetics in Fractal Macromolecules
Maxim Dolgushev, Thomas Guérin, Alexander Blumen +2
We consider the kinetics of first contact between two monomers of the same macromolecule. Relying on a fractal description of the macromolecule, we develop an analytical method to…
Diffusion and subdiffusion of interacting particles on comb-like structures
O. Bénichou, P. Illien, G. Oshanin +2
We study the dynamics of a tracer particle (TP) on a comb lattice populated by randomly moving hard-core particles in the dense limit. We first consider the case where the TP is co…
Distribution of the position of a driven tracer in a hardcore lattice gas
Pierre Illien, Olivier Bénichou, Gleb Oshanin +1
We study the position of a biased tracer particle (TP) in a bath of hardcore particles moving on a lattice of arbitrary dimension and in contact with a reservoir. Starting from the…
Mean perimeter of the convex hull of a random walk in a semi-infinite medium
M. Chupeau, O. Bénichou, S. N. Majumdar
We study various properties of the convex hull of a planar Brownian motion, defined as the minimum convex polygon enclosing the trajectory, in the presence of an infinite reflectin…