2 citations · 3 across the 12 of their papers we have counts for
14 papers
Active colloidal rafts perform swimming strokes that propel their host droplets
Airi N. Kato, Julien Brémont, Etienne Harté +3
Active particles confined in droplets can set their host droplet into motion. This phenomenon is usually attributed to direct hydrodynamic forcing by the enclosed particles. Here w…
Exact collective first-passage statistics of N trail-interacting walkers
Paul Pineau, Julien Brémont, Olivier Bénichou +1
Memory encoded in the environment mediates interactions between active agents, from trail-following organisms to synthetic active matter depositing persistent tracks. Although such…
Aging Record Statistics in Saturating Self-Interacting Random Walks
J. Brémont, R. Voituriez, O. Bénichou
The record age tau_k, defined as the time between the k-th and k+1-st record-breaking events, is a central observable of extreme-value statistics. In Markovian processes, the absen…
Beyond Poisson: First-Passage Asymptotics of Renewal Shot Noise
Julien Brémont
The first-passage time (FPT) of a stochastic signal to a threshold is a fundamental observable across physics, biology, and finance. While renewal shot noise is a canonical model f…
Exploration and aging of non-Markovian processes
Julien Brémont
This thesis explores a central question: how does memory affect the way random walkers explore space? By analyzing various non-Markovian models, where past behavior directly influe…
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…
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…
Exact propagators of one-dimensional self-interacting random walks
Julien Brémont, Olivier Bénichou, Raphaël Voituriez
Self-interacting random walks (SIRWs) show long-range memory effects that result from the interaction of the random walker at time with the territory already visited at earlier…
Random self-similar series over a rotation
Julien Brémont
We study the law of random self-similar series defined above an irrational rotation on the Circle. This provides a natural class of continuous singular non-Rajchman measures.
Aging Dynamics of dimensional Locally Activated Random Walks
Julien Brémont, Theresa Jakuszeit, Olivier Bénichou +1
Locally activated random walks are defined as random processes, whose dynamical parameters are modified upon visits to given activation sites. Such dynamics naturally emerge in liv…
On homogeneous and oscillating random walks on the integers
Julien Brémont
Considering homogeneous and oscillating random walks on the integers, we simplify classical works on recurrence of Spitzer and Kemperman, respectively. Some links with renewal theo…
Self-similar measures and the Rajchman property
Julien Brémont
For classical Bernoulli convolutions, the Rajchman property, i.e. the convergence to zero at infinity of the Fourier transform, was characterized by successive works of Erd{ö}s [2]…
Random walk in a stratified independent random environment
Julien Brémont
We study Markov chains on a lattice in a codimension-one stratified independent random environment, exploiting results established in [2]. First of all the random walk is transient…
Random walk in a stratified medium
Julien Brémont
We study the recurrence properties of a random walk in a stratified medium.