On Gumbel limit for the length of reactive paths

DOI10.1142/S021949371550001XzbMath1318.60080arXiv1312.1939MaRDI QIDQ5496370

Yu. Yu. Bakhtin

Publication date: 30 January 2015

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1939

zbMATH Keywords

weak convergencescaling limitone-dimensional diffusionsGumbel distributionexit timessmall noise

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes (60J60)

Related Items (4)

An Eyring-Kramers law for slowly oscillating bistable diffusions ⋮ Universal statistics of incubation periods and other detection times via diffusion models ⋮ Atypical exit events near a repelling equilibrium ⋮ Breaking a chain of interacting Brownian particles

Cites Work

• Scaling limit for the diffusion exit problem in the Levinson case
• Noisy heteroclinic networks
• Residual life time at great age
• On the exit law from saddle points
• Exit asymptotics for small diffusion about an unstable equilibrium
• Normal forms approach to diffusion near hyperbolic equilibria
• Small noise limit for diffusions near heteroclinic networks
• On the Noise-Induced Passage through an Unstable Periodic Orbit II: General Case

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