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Publication Date:
August 2006
ISSN:
1435-5337
DOI:
10.1515/FORUM.2006.029

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Managing Editor: Brüdern, Jörg

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

Citation Information: Forum Mathematicum. Volume 18, Issue 4, Pages 571–583, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/FORUM.2006.029, August 2006

Publication History:
Received:
2004-01-06
Revised:
2004-09-06
Accepted:
2004-09-15
Published Online:
2006-08-14

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.

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