3 papers
cond-mat.stat-mech2026
Universal fluctuations of first discoveries in competitive exploration
Arthur Plaud, P. L. Krapivsky, S. Redner +1
Random exploration is usually quantified by how fast new space is found, from the range of a single walker to the territory collectively covered by many walkers. In competitive exp…
cond-mat.stat-mech2025
Beyond the Arcsine Law: Exact Two-Time Statistics of the Occupation Time in Jump Processes
Arthur Plaud, Olivier Bénichou
Occupation times quantify how long a stochastic process remains in a region, and their single-time statistics are famously given by the arcsine law for Brownian and Lévy processes.…
nlin.AO2023
Dragon kings in self-organized criticality systems
Guram Mikaberidze, Arthur Plaud, Raissa M. D'Souza
The spontaneous emergence of scale invariance, called self-organized criticality (SOC), is often attributed to a second-order absorbing-state phase transition (ASPT). Many real-wor…