117 citations · 299 across the 21 of their papers we have counts for
5 papers · 2 filters
Persistence exponents of self-interacting random walks
Julien Brémont, Léo Régnier, Olivier Bénichou +1
The persistence exponent, which characterises the long-time decay of the survival probability of stochastic processes in the presence of an absorbing target, plays a key role in qu…
Visitation Dynamics of -Dimensional Fractional Brownian Motion
L. Régnier, M. Dolgushev, O. Bénichou
The fractional Brownian motion (fBm) is a paradigmatic strongly non-Markovian process with broad applications in various fields. Despite their importance, the properties of the ter…
Starving Random Walks
Léo Régnier, Maxim Dolgushev, Olivier Bénichou
In this chapter, we review recent results on the starving random walk (RW) problem, a minimal model for resource-limited exploration. Initially, each lattice site contains a single…
Exact propagators of one-dimensional self-interacting random walks
Julien Brémont, Olivier Bénichou, Raphaël Voituriez
Self-interacting random walks (SIRWs) show long-range memory effects that result from the interaction of the random walker at time with the territory already visited at earlier…
Target search kinetics for random walkers with memory
Olivier Bénichou, Thomas Guérin, Nicolas Levernier +1
In this chapter, we consider the problem of a non-Markovian random walker (displaying memory effects) searching for a target. We review an approach that links the first passage sta…