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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Research in Pairs & scientific collaboration with Math. Department of University of Cagliari




Date(s) : 09/06/2019 - 22/06/2019   iCal
0h00

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.

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