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On spectral gaps and exit time distributions for a non-smooth domain

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Published/Copyright: August 14, 2006
Forum Mathematicum
From the journal Volume 18 Issue 4

Abstract

We obtain the asymptotics of exit time distributions of a one parameter family of diffusion processes on an arbitrary bounded domain of Rn. As an important tool, we use the asymptotics of the spectral gap relative to the corresponding smallest conservative Dirichlet space.


(Communicated by Masatoshi Fukushima)


Received: 2004-01-06
Revised: 2004-09-06
Accepted: 2004-09-15
Published Online: 2006-08-14
Published in Print: 2006-07-01

© Walter de Gruyter

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