Asymptotics for the fastest among N stochastic particles: role of an extended initial distribution and an additional drift component

DOI10.1088/1751-8121/abf681OpenAlexW3153866182MaRDI QIDQ5873972

David Holcman, Suney Toste

Publication date: 10 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08413

zbMATH Keywords

initial distributionextreme statisticsmean escape timeasymptotic computation

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Search for a small egg by spermatozoa in restricted geometries
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• Asymptotics of elliptic and parabolic PDEs. And their applications in statistical physics, computational neuroscience, and biophysics
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• Extreme value statistics of correlated random variables: a pedagogical review
• Asymptotic formulas for extreme statistics of escape times in 1, 2 and 3-dimensions
• A Guide to First-Passage Processes
• Long- and short-time asymptotics of the first-passage time of the Ornstein–Uhlenbeck and other mean-reverting processes
• Stochastic Narrow Escape in Molecular and Cellular Biology
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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