Ergodic decomposition of probability measures on the configuration space (Q1911569)

The author investigates ergodic decomposition of probability measures on the configuration space. There are considered two kinds of measures. The first one is a \(\text{Diff}_0 X\)-quasi-invariant probability measure \(\mu\), where \(X\) is a connected para-compact \(C^\infty\)-manifold and \(\text{Diff}_0 X = \{f \mid f\) is a diffeomorphism on \(X\) with compact support\}. The second kind of measures is the collection of Gibbs measures which occur in statistical mechanics.