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math.AP2021★ 2 cited
Modeling and asymptotic analysis of the concentration difference in a nanoregion between an influx and outflux diffusion across narrow windows
Frédéric Paquin-Lefebvre, David Holcman
When a flux of Brownian particles is injected in a narrow window located on the surface of a bounded domain, these particles diffuse and can eventually escape through a cluster of…
math.AP2014★ 1 cited
Oscillatory Survival Probability: Analytical, Numerical Study for oscillatory narrow escape and applications to neural network dynamics
K. Dao Duc, Z. Schuss, D. Holcman
We study the escape of Brownian motion from the domain of attraction of a stable focus with a strong drift. The boundary of is an unstable limit cycle of the d…