153 citations · 336 across the 10 of their papers we have counts for
11 papers · 1 filter
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…
Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks
N. Levernier, T. V. Mendes, O. Bénichou +2
Persistence, defined as the probability that a fluctuating signal has not reached a threshold up to a given observation time, plays a crucial role in the theory of random processes…
Reply to Comment on "Inverse Square Lévy Walks are not Optimal Search Strategies for d \geq 2 "
Nicolas Levernier, Johannes Textor, Olivier Bénichou +1
We refute here the concernes raised in the Comment of our letter. This reply states clearly the validity range of our results and shows that the optimality of inverse-square Levy w…
Inverse square Lévy walks are not optimal search strategies for
Nicolas Levernier, Olivier Benichou, Johannes Textor +1
The Lévy hypothesis states that inverse square Lévy walks are optimal search strategies because they maximise the encounter rate with sparse, randomly distributed, replenishable ta…
Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics
Nicolas Levernier, Olivier Bénichou, Raphaël Voituriez +1
How much time does it take for a fluctuating system, such as a polymer chain, to reach a target configuration that is rarely visited -- typically because of a high energy cost ? Th…