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Anomalous First Passage in Evolution: Edge-KPZ Theory

Hatakeyama, Tetsuhiro S.
arXiv (OAI Expanded) · Papers
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biological-physicspopulations-and-evolutionstatistical-mechanics
The pace of evolution depends on how rapidly new phenotypes arise. We show that neutral Wright-Fisher evolution exhibits anomalous first passage despite diffusive mutations. The mean time for the first individual to reach a prescribed phenotypic distance scales approximately as $(σ^2)^{-3/2}$ with m
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