191 citations · 513 across the 24 of their papers we have counts for
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Beyond the Arcsine Law: Exact Two-Time Statistics of the Occupation Time in Jump Processes
Arthur Plaud, Olivier Bénichou
Occupation times quantify how long a stochastic process remains in a region, and their single-time statistics are famously given by the arcsine law for Brownian and Lévy processes.…
Flips Reveal the Universal Impact of Memory on Random Explorations
Julien Brémont, Léo Régnier, Alex Barbier--Chebbah +2
Quantifying space exploration is a central question in random walk theory, with direct applications ranging from animal foraging, diffusion-limited reactions, and intracellular tra…
Large volume statistics of first-passage observables of -dimensional Jump Processes
Jérémie Klinger, Olivier Bénichou, Raphaël Voituriez
First-passage observables (FPO) are central to understanding stochastic processes in confined domains, with applications spanning chemical reaction kinetics, foraging behavior, and…
Number of local minima in discrete-time fractional Brownian motion
Maxim Dolgushev, Olivier Bénichou
The analysis of local minima in time series data and random landscapes is essential across numerous scientific disciplines, offering critical insights into system dynamics. Recentl…