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In this article, we outline a version of a balayage formula in probabilisticpotential theory adapted to measure-preserving dynamical systems. This balayageidentity generalizes the property that induced maps preserve the restriction ofthe original invariant measure. As an application, we prove in some cases theinvariance under induction of the Green-Kubo formula, as well as the invarianceof a new degree 3 invariant.

Probabilistic potential theory and induction of dynamical systems