Uniform Positivity Improving Property, S
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Shigeki Aida
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Article
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1998
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Elsevier Science
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English
β 432 KB
We introduce a certain kind of strong ergodicity condition to study the existence of spectral gap for Markov generator. We can estimate the spectral gap using the ergodicity condition and a Sobolev type inequality. We apply our results to the Dirichlet form on Wiener spaces, Riemannian manifolds, an