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A spectral approach to the narrow escape problem in two-dimensional domains

Carillo, Louis et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdesprobability
We study the law of the exit time and exit point of a Brownian motion in a two-dimensional domain with reflecting boundary conditions, except on small disjoint exit windows through which the stochastic process can escape the domain. In the limit of infinitely small exit windows, it is natural to ass
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