Towers for commuting endomorphisms, and combinatorial applications

Avila, Artur; Candela, Pablo

Annales de l'Institut Fourier, Volume 66 (2016) p. 1529-1544

Holonomy invariance: rough regularity and applications to Lyapunov exponents

Avila, Artur; Santamaria, Jimmy; Viana, Marcelo

Astérisque, Cocycles over partially hyperbolic maps, (2013) p. 13-74

Cocycles over partially hyperbolic maps

Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie

Astérisque, Cocycles over partially hyperbolic maps, (2013) p. 1-12

The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes

Avila, Artur; Lyubich, Mikhail

Publications Mathématiques de l'IHÉS, Volume 114 (2011) p. 171-223

Nonuniform center bunching and the genericity of ergodicity among $C^1$ partially hyperbolic symplectomorphisms

Avila, Artur; Bochi, Jairo; Wilkinson, Amie

Annales scientifiques de l'École Normale Supérieure, Volume 42 (2009) p. 931-979

A uniform dichotomy for generic $\mathrm{SL}(2,ℝ)$ cocycles over a minimal base

Avila, Artur; Bochi, Jairo

Bulletin de la Société Mathématique de France, Volume 135 (2007) p. 407-417

Exponential mixing for the Teichmüller flow

Avila, Artur; Gouëzel, Sébastien; Yoccoz, Jean-Christophe

Publications Mathématiques de l'IHÉS, Volume 104 (2006) p. 143-211

Statistical properties of unimodal maps

Avila, Artur; Moreira, Carlos Gustavo

Publications Mathématiques de l'IHÉS, Volume 101 (2005) p. 1-67

Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative

Avila, Artur; Moreira, Carlos Gustavo

Astérisque, Geometric methods in dynamics (I) : Volume in honor of Jacob Palis, (2003) p. 81-118

Bifurcations d'applications unimodales

Avila, Artur

Comptes Rendus. Mathématique, Volume 334 (2002) p. 483-488