SMS scnews item created by Lachlan Smith at Mon 29 Jun 2020 1248
Type: Seminar
Distribution: World
Expiry: 24 Aug 2020
Calendar1: 3 Jul 2020 1600-1700
CalLoc1: Zoom
CalTitle1: Sydney Dynamics Group: Davide Ravotti -- Quantitative global-local mixing for accessible skew products
Auth: lachlans@105.66.233.220.static.exetel.com.au (lsmi9789) in SMS-WASM

# Sydney Dynamics Group: Ravotti -- Quantitative global-local mixing for accessible skew products

Dear all,

This week, Friday July 3, Davide Ravotti (Monash University) will give a talk at 4pm
(Sydney time) via Zoom.

Meeting ID: 912 4662 5911

Title: Quantitative global-local mixing for accessible skew products

Abstract:
Skew products, or group extensions, over hyperbolic diffeomorphisms are important
examples of partially hyperbolic systems.  Dolgopyat showed that generic compact
extensions of topologically mixing Axiom A diffeomorphisms are rapidly mixing, namely
the decay of correlations of smooth observables is faster than any given polynomial.

In this talk, we will consider the case of $\mathbb{R}$-extensions.  We will focus on
global-local mixing, one of the possible notions of mixing for infinite measure
preserving systems.  We will present a quantitative mixing result for skew products
which satisfy an accessibility condition; in particular, we will relate the rate of
decay of correlations to the ’’low frequency behaviour’’ of the spectral measure
associated to our global observables.

This is a joint work with Paolo Giulietti and Andy Hammerlindl.

Past talks can be found on the YouTube channel: