Distribution of Brownian Coincidences
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02360-x
Abstract: We study the probability distribution, $P_N(T)$, of the coincidence time $T$, i.e. the total local time of all pairwise coincidences of $N$ independent Brownian walkers. We consider in details two geometries: Brownian motions all starting… read more here.
Keywords: time; coincidence time; brownian coincidences; distribution ... See more keywords
Extreme Statistics and Spacing Distribution in a Brownian Gas Correlated by Resetting.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review letters"
DOI: 10.1103/physrevlett.130.207101
Abstract: We study a one-dimensional gas of N Brownian particles that diffuse independently, but are simultaneously reset to the origin at a constant rate r. The system approaches a nonequilibrium stationary state with long-range interactions induced… read more here.
Keywords: gas; spacing distribution; extreme statistics; distribution brownian ... See more keywords