3 papers
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2024
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…
cond-mat.stat-mech2024
Starving Random Walks
Léo Régnier, Maxim Dolgushev, Olivier Bénichou
In this chapter, we review recent results on the starving random walk (RW) problem, a minimal model for resource-limited exploration. Initially, each lattice site contains a single…