P. Giulietti, A. Hammerlindl, D. Ravotti
Published 2020-06-11Version 1
We study global-local mixing for accessible skew products with a mixing base. For a dense set of almost periodic global observables, we prove rapid mixing; and for a dense set of global observables vanishing at infinity, we prove polynomial mixing. More generally, we relate the speed of mixing to the "low frequency behaviour" of the spectral measure associated to our global observables. Our strategy relies on a careful choice of the spaces of observables and on the study of a family of twisted transfer operators.
Analytic non-linearizable uniquely ergodic diffeomorphisms on the two-torus
C^1-generic billiard tables have a dense set of periodic points
Divergence of weighted square averages in $L^1$
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