Measures on two-component configuration spaces

TL;DR

This paper investigates measures on two-component configuration spaces, focusing on Gibbs measures, their properties, and the structure of their support sets, particularly non-intersecting configurations.

Contribution

It provides a detailed description of Gibbs measures on two-component configuration spaces, including properties of relative energies and correlation functions, and characterizes their support sets.

Findings

Gibbs measures are supported on pairs of non-intersecting configurations.

Properties of relative energy densities are established.

Correlation functions are analyzed for these measures.

Abstract

We study measures on the configuration spaces of two type particles. Gibbs measures on the such spaces are described. Main properties of corresponding relative energies densities and correlation functions are considered. In particular, we show that a support set for the such Gibbs measure is the set of pairs of non-intersected configurations.