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On spectral gaps and exit time distributions for a non-smooth domain
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Daehong Kim
Published/Copyright:
August 14, 2006
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.
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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Articles in the same Issue
- Optimal Sobolev imbeddings
- On spectral gaps and exit time distributions for a non-smooth domain
- Sums of three squares over imaginary quadratic fields
- Totally projective unit groups in modular abelian group algebras
- Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
- On large deviations for random currents induced from stochastic line integrals
- A bound for the 3-part of class numbers of quadratic fields by means of the square sieve
- On a question of Lillian Pierce
