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Brownian motion in a quasi-cone
Authors:Dante DeBlassie
Institution:1. Department of Mathematical Sciences, New Mexico State University, P. O. Box 30001, Department 3MB, Las Cruces, NM, 88003-8001, USA
Abstract:We determine precise logarithmic asymptotics of the probability of a large exit time for Brownian motion in a quasi-cone. This answers a question formally posed by Lifshits and Shi (Bernoulli 8:745–765, 2002), but first studied by Li (Ann Probab 31:1078–1096, 2001).
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