Logarithmic Sobolev inequality for a class of measures on configuration spaces (Q2877319)

The authors study measures on the space \(\Gamma_X\) of locally finite configurations in \(X=\mathbb R^d\), obtained as images of ``lattice'' Gibbs measures on \(X^{\mathbb Z^d}\) with respect to an embedding \(\mathbb Z^d\subset \mathbb R^d\). For such measures, the integration by parts formula and the logarithmic Sobolev inequality are proved. For general information regarding analysis on configuration spaces see [\textit{S. Albeverio} et al., J. Funct. Anal. 154, No. 2, 444--500 (1998; Zbl 0914.58028)].