397 citations
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Showing 2015 · math.PRShow all
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math.PR2015★ 6 cited
Persistence exponent for discrete-time, time-reversible processes
Frank Aurzada, Nadine Guillotin-Plantard
We study the persistence probability for some discrete-time, time-reversible processes. In particular, we deduce the persistence exponent in a number of examples: first, we deal wi…
math.PR2015★ 4 cited
Large deviations principle for the Adaptive Multilevel Splitting Algorithm in an idealized setting
Charles-Edouard Bréhier
The Adaptive Multilevel Splitting (AMS) algorithm is a powerful and versatile method for the simulation of rare events. It is based on an interacting (via a mutation-selection proc…