3 papers
cond-mat.stat-mech2024
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…
math.DS2024
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.
cond-mat.stat-mech2023
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…