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cond-mat.stat-mech2025★ 2 cited
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…
cond-mat.stat-mech2025
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…
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…