1210.5123 (Dmitri Finkelshtein)

Towards on convolutions on configuration spaces. II. Spaces of locally
finite configurations    [PDF]

Dmitri Finkelshtein

In the second part of the paper we consider a convolution of probability measures on spaces of locally finite configurations (subsets of a phase space) as well as their connection with the convolution of the corresponding correlation measures and functionals. In particular, the convolution of Gibbs measures is studied. We describe also a connection between invariant measures with respect to some operator and properties of the corresponding image of this operator on correlation functions.

View original: http://arxiv.org/abs/1210.5123