Push-forward measures on configuration spaces: integration by parts and log-Sobolev inequality

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JournalComplex Analysis and Operator Theory
DateE-pub ahead of print - 26 Jun 2014
DatePublished (current) - 2015
Number of pages23
Early online date26/06/14
Original languageEnglish

Abstract

We study a class of measures on the space X of locally finite configurations in X = Rd , obtained as images of “lattice” Gibbs measures on XZd with respect to an embedding Zd ⊂ Rd . For these measures, we prove the integration by parts formula
and log-Sobolev inequality.

    Research areas

  • Configuration space, Log-sobolev inequality

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