153 citations
- Sorbonne UniversitéFR45 papers
- Centre National de la Recherche ScientifiqueFR42 papers
- Laboratoire de Physique Théorique de la Matière CondenséeFR22 papers
- CY Cergy Paris UniversitéFR7 papers
- Institut de Biologie Paris-SeineFR7 papers
- Laboratoire de Physique ThéoriqueFR7 papers
- Laboratoire Ondes et Matière d'AquitaineFR7 papers
- Université de BordeauxFR7 papers
- Laboratoire MédiationsFR6 papers
- Laboratoire de Chimie ThéoriqueFR5 papers
- Laboratoire de Physique Théorique et ModélisationFR5 papers
- Imperial College LondonGB4 papers
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…
Long-term memory induced correction to Arrhenius law
A. Barbier-Chebbah, O. Bénichou, R. Voituriez +1
The Kramers escape problem is a paradigmatic model for the kinetics of rare events, which are usually characterized by Arrhenius law. So far, analytical approaches have failed to c…
Fluctuating hydrodynamics of active particles interacting via taxis and quorum sensing: static and dynamics
Alberto Dinelli, Jérémy O'Byrne, Julien Tailleur
In this article we derive and test the fluctuating hydrodynamic description of active particles interacting via taxis and quorum sensing, both for mono-disperse systems and for mix…
Evidence and quantification of memory effects in competitive first passage events
M. Dolgushev, T. V. Mendes, B. Gorin +6
Splitting probabilities quantify the likelihood of a given outcome out of competitive events. This key observable of random walk theory, historically introduced as the gambler's ru…
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…