Publications (56)
On the Hausdorff dimension of the Rauzy gasket
Artur Avila, Pascal Hubert, Alexandra Skripchenko
Some monoids of Pisot matrices
Artur Avila, Vincent Delecroix
Density of positive Lyapunov exponents for SL(2,R) cocycles
Artur Avila
Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials
Artur Avila, Maria Joao Resende
Statistical properties of unimodal maps: physical measures, periodic orbits and pathological laminations
Artur Avila, Carlos Gustavo Moreira
On manifolds supporting distributionally uniquely ergodic diffeomorphisms
Artur Avila, Bassam Fayad, Alejandro Kocsard
The absolutely continuous spectrum of the almost Mathieu operator
Artur Avila
Statistical properties of unimodal maps: the quadratic family
Artur Avila, Carlos Gustavo Moreira
Combinatorial rigidity for unicritical polynomials
Artur Avila, Jeremy Kahn, Mikhail Lyubich +1
Weak mixing for interval exchange transformations and translation flows
Artur Avila, Giovanni Forni
A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies
Artur Avila, Bassam Fayad, Raphael Krikorian
Examples of Feigenbaum Julia sets with small Hausdorff dimension
Artur Avila, Mikhail Lyubich
SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are regular
Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz
Robust transitivity and topological mixing for $C^1$-flows
Flavio Abdenur, Artur Avila, Jairo Bochi
Nonuniform Hyperbolicity, Global Dominated Splittings and Generic Properties of Volume-Preserving Diffeomorphisms
Artur Avila, Jairo Bochi
Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow
Artur Avila, Sebastien Gouezel
Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge bundle
Artur Avila, Alex Eskin, Martin Moeller
Exponential decay of correlations for the Rauzy-Veech-Zorich induction map
Artur Avila, Alexander Bufetov
Smoothness of solenoidal attractors
Artur Avila, Sebastien Gouezel, Masato Tsujii
Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators
Artur Avila, Svetlana Jitomirskaya
Phase-parameter relation and sharp statistical properties for general families of unimodal maps
Artur Avila, Carlos Gustavo Moreira
Convergence of an exact quantization scheme
Artur Avila
Distortion elements in $Diff^\infty(R/Z)$
Artur Avila
Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family
Artur Avila, Carlos Gustavo Moreira
Lebesgue measure of Feigenbaum Julia sets
Artur Avila, Mikhail Lyubich
Monotonic cocycles
Artur Avila, Raphaël Krikorian
A formula with some applications to the theory of Lyapunov exponents
Artur Avila, Jairo Bochi
Simplicity of Lyapunov spectra: a sufficient criterion
Artur Avila, Marcelo Viana
A uniform dichotomy for generic $SL(2,R)$ cocycles over a minimal base
Artur Avila, Jairo Bochi
Bifurcations of unimodal maps
Artur Avila, Carlos Gustavo Moreira
On the Kotani-Last and Schrodinger conjectures
Artur Avila
Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows
Artur Avila, Marcelo Viana, Amie Wilkinson
Opening Gaps in the Spectrum of Strictly Ergodic Schrödinger Operators
Artur Avila, Jairo Bochi, David Damanik
Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative
Artur Avila, Carlos Gustavo Moreira
The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes
Artur Avila, Mikhail Lyubich
Reducibility or non-uniform hyperbolicity for quasiperiodic Schrodinger cocycles
Artur Avila, Raphael Krikorian
A generic $C^1$ map has no absolutely continuous invariant probability measure
Artur Avila, Jairo Bochi
Global theory of one-frequency Schrodinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity
Artur Avila
Almost reducibility and absolute continuity I
Artur Avila
On the regularization of conservative maps
Artur Avila
Parapuzzle of the Multibrot set and typical dynamics of unimodal maps
Artur Avila, Mikhail Lyubich, Weixiao Shen
Generic expanding maps without absolutely continuous invariant $Ï$-finite measure
Artur Avila, Jairo Bochi
Exponential mixing for the Teichmuller flow
Artur Avila, Sebastien Gouezel, Jean-Christophe Yoccoz
Generic singular continuous spectrum for ergodic Schrödinger operators
Artur Avila, David Damanik
Almost localization and almost reducibility
Artur Avila, Svetlana Jitomirskaya
Absolute Continuity of the Integrated Density of States for the Almost Mathieu Operator with Non-Critical Coupling
Artur Avila, David Damanik
Bulk Universality and Clock Spacing of Zeros for Ergodic Jacobi Matrices with A.C. Spectrum
Artur Avila, Yoram Last, Barry Simon
Singular Density of States Measure for Subshift and Quasi-Periodic Schrödinger Operators
Artur Avila, David Damanik, Zhenghe Zhang
Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles
Artur Avila, Jairo Bochi, Jean-Christophe Yoccoz
Hausdorff dimension and conformal measures of Feigenbaum Julia sets
Artur Avila, Mikhail Lyubich
Nonuniform Center Bunching and the Genericity of Ergodicity among $C^1$ Partially Hyperbolic Symplectomorphisms
Artur Avila, Jairo Bochi, Amie Wilkinson
Smooth Siegel disks via semicontinuity: a remark on a proof of Buff and Cheritat
Artur Avila
Mixing for Time-Changes of Heisenberg Nilflows
Artur Avila, Giovanni Forni, Corinna Ulcigrai
On the spectrum and Lyapunov exponent of limit periodic Schrodinger operators
Artur Avila
Infinitesimal perturbations of rational maps
Artur Avila
Cantor Spectrum for Schrödinger Operators with Potentials arising from Generalized Skew-shifts
Artur Avila, Jairo Bochi, David Damanik