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

Daehong Kim

doi:10.1515/FORUM.2006.029

Published by De Gruyter August 14, 2006

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

Daehong Kim

From the journal Forum Mathematicum

https://doi.org/10.1515/FORUM.2006.029

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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

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

Abstract

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