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List of works by Artur Ávila

Almost localization and almost reducibility

scientific article published in 2010

Combinatorial rigidity for unicritical polynomials

scientific article published in 2009

Diffeomorphisms with positive metric entropy

scientific article published in 2016

Hausdorff dimension and conformal measures of Feigenbaum Julia sets

scientific article published in 2007

Lebesgue measure of Feigenbaum Julia sets

scientific article published in 2022

Mixing for the time-changes of Heisenberg nilflows

scientific article published in 2011

On manifolds supporting distributionally uniquely ergodic diffeomorphisms

scientific article published in 2015

On mixing diffeomorphisms of the disc ⬇️

scholarly article

On the Kotani-Last and Schrödinger conjectures

scientific article published in 2014

Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles

Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent

scientific article published in 2022

Siegel disks with smooth boundaries

article

Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture

scientific article published in 2007

Solving the Ten Martini Problem

Statistical Properties of Unimodal Maps: Physical Measures, Periodic Orbits and Pathological Laminations

scientific article published in 2005

Statistical properties of quadratic polynomials with a neutral fixed point

scholarly article published on 6 June 2018

The Kontsevich–Zorich cocycle over Veech–McMullen family of symmetric translation surfaces

scholarly article

The Ten Martini Problem

article published in 2009

Weak mixing properties of interval exchange transformations and translation flows

scholarly article

Zorich conjecture for hyperelliptic Rauzy–Veech groups

scientific article published in 2017

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