A. Avila

activity

20002012

most citedThe absolutely continuous spectrum of the almost Mathieu operator

60 citations · 170 across the 20 of their papers we have counts for

collaborators

Showing 2006 · math.DSShow all

3 papers · 2 filters

math.DS2006

Exponential decay of correlations for the Rauzy-Veech-Zorich induction map

Artur Avila, Alexander Bufetov

We prove exponential mixing for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations (Theorem 3)

math.DS2006

Generic expanding maps without absolutely continuous invariant $σ$ -finite measure

Artur Avila, Jairo Bochi

We show that a $C^{1}$ -generic expanding map of the circle has no absolutely continuous invariant $σ$ -finite measure.

math.DS2006

Simplicity of Lyapunov spectra: a sufficient criterion

Artur Avila, Marcelo Viana

We exhibit an explicit sufficient condition for the Lyapunov exponents of a linear cocycle over a Markov map to have multiplicity 1. This builds on work of Guivarc'h-Raugi and Gol'…

Exponential decay of correlations for the Rauzy-Veech-Zorich induction map

Generic expanding maps without absolutely continuous invariant σ-finite measure

Simplicity of Lyapunov spectra: a sufficient criterion

Generic expanding maps without absolutely continuous invariant $σ$ -finite measure