On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators

Wilhelm Stannat

doi:10.1214/aop/1019160256

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Home > Journals > Ann. Probab. > Volume 28 > Issue 2 > Article

April 2000 On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators

Wilhelm Stannat

Ann. Probab. 28(2): 667-684 (April 2000). DOI: 10.1214/aop/1019160256

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Abstract

We prove that Fleming –Viot operators with parent-independent mutation satisfy a logarithmic Sobolev inequality ifand only ifthe set oftypes is finite.

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Wilhelm Stannat. "On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators." Ann. Probab. 28 (2) 667 - 684, April 2000. https://doi.org/10.1214/aop/1019160256

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Published: April 2000

First available in Project Euclid: 18 April 2002

zbMATH: 1044.60037

MathSciNet: MR1782270

Digital Object Identifier: 10.1214/aop/1019160256

Subjects:

Primary: 60G57 , 60J35

Secondary: 60K35 , 92D15

Keywords: Fleming –Viot operators , hypercontractivity , logarithmic , Sobolev inequalities

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Ann. Probab.

Vol.28 • No. 2 • April 2000

Institute of Mathematical Statistics

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Wilhelm Stannat "On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators," The Annals of Probability, Ann. Probab. 28(2), 667-684, (April 2000)

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