153 citations · 393 across the 13 of their papers we have counts for
14 papers
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…
CNT effective interfacial energy and pre-exponential kinetic factor from measured NaCl crystal nucleation time distributions in contracting microdroplets
Ruel Cedeno, Romain Grossier, Nadine Candoni +3
Nucleation, the birth of a stable cluster from disorder, is inherently stochastic. Yet up to date, there are no quantitative studies on NaCl nucleation that accounts for its stocha…
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…