Date(s) - 09/06/2019 - 22/06/2019
0 h 00 min
Catégories Pas de Catégories
QUANTITATIVE MIXING AND FINITELY-ADDITIVE MEASURES ON STABLE FOLIATIONS OF ANOSOV DIFFEOMOPHISMS
Anosov diffeomorphisms are well-known to be strongly mixing.
It nonetheless remains a challenge to find effective quantitative bounds on the rate of
mixing for Anosov diffeomorphisms in higher dimension.
The aim of this collaboration is to use the formalism of holonomy-invariant
finitely-additive measures on stable foliations of Anosov diffeomorphisms in order to find an effective asymptotic expansion for the equidistribution of their stable leaves.