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cond-mat.stat-mech2024★ 1 cited
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
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.