788 citations · 6k across the 109 of their papers we have counts for
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Full Record Statistics of 1d Random Walks
Léo Régnier, Maxim Dolgushev, Olivier Bénichou
We develop a comprehensive framework for analyzing full record statistics, covering record counts , and their corresponding attainment times $T_{M(t_1)}, T_…
A unifying representation of path integrals for fractional Brownian motions
O. Benichou, G. Oshanin
Fractional Brownian motion (fBm) is an experimentally-relevant, non-Markovian Gaussian stochastic process with long-ranged correlations between the increments, parametrised by the…
From Maximum of Intervisit Times to Starving Random Walks
L. Régnier, M. Dolgushev, O. Bénichou
Very recently, a fundamental observable has been introduced and analyzed to quantify the exploration of random walks: the time required for a random walk to find a site that…
From Particle Currents to Tracer Diffusion: Universal Correlation Profiles in Single-File Dynamics
Aurélien Grabsch, Théotim Berlioz, Pierre Rizkallah +2
Single-file transport refers to the motion of particles in a narrow channel, such that they cannot bypass each other. This constraint leads to strong correlations between the parti…
Imperfect Narrow Escape problem
T. Guérin, M. Dolgushev, O. Bénichou +1
We consider the kinetics of the imperfect narrow escape problem, i.e. the time it takes for a particle diffusing in a confined medium of generic shape to reach and to be adsorbed b…
Record Ages of Scale Invariant non-Markovian Random Walks
Léo Régnier, Maxim Dolgushev, Olivier Bénichou
How long is needed for an observable to exceed its previous highest value and establish a new record? This time, known as the age of a record plays a crucial role in quantifying re…