2017
Том 69
№ 9

All Issues

On convolutions on configuration spaces. II. spaces of locally finite configurations

Finkelshtein D. L.

Full text (.pdf)


Abstract

We consider the 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 also describe a relationship between invariant measures with respect to some operator and properties of the corresponding image of this operator on correlation functions.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 12, pp 1919-1944.

Citation Example: Finkelshtein D. L. On convolutions on configuration spaces. II. spaces of locally finite configurations // Ukr. Mat. Zh. - 2012. - 64, № 12. - pp. 1699-1719.

Full text