Abstract
In this paper we consider smooth diffeomorphisms of the 2-disk which are the identity on the boundary. We assume that the dynamics of any such a diffeomorphism φ restricted to a φ-invariant Cantor set is minimal and uniquely ergodic. Then the average linking number of the orbits of φ can be computed in two standard ways. We prove that the asymptotic average of the diagonal component of the Calabi invariant coincides with the Ruelle invariant of the minimal Cantor system.
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