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Logarithmic Sobolev Inequalities and Spectral Gaps: Perturbation Theory

✍ Scribed by S. Aida; I. Shigekawa


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
627 KB
Volume
126
Category
Article
ISSN
0022-1236

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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