On the spectral gap of Brownian motion with jump boundaryKolb, M. and Wübker, A. (2011) On the spectral gap of Brownian motion with jump boundary. Electronic Journal of Probability, 16. pp. 1214-1237. ISSN 1083-6489 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1214/EJP.v16-903 Abstract/SummaryIn this paper we consider the Brownian motion with jump boundary and present a new proof of a recent result of Li, Leung and Rakesh concerning the exact convergence rate in the one-dimensional case. Our methods are dierent and mainly probabilistic relying on coupling methods adapted to the special situation under investigation. Moreover we answer a question raised by Ben-Ari and Pinsky concerning the dependence of the spectral gap from the jump distribution in a multi-dimensional setting.
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