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Artur Avila

Identifiers

  • name variant Artur Avila 0.60 · backfill

Papers (69)

  1. Symplectomorphisms with positive metric entropy math.DS · 2019 · author #1
  2. Livsic theorem for diffeomorphism cocycles math.DS · 2017 · author #1
  3. The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces math.DS · 2017 · author #1
  4. Second Phase transition line math-ph · 2016 · author #1
  5. Zorich conjecture for hyperelliptic Rauzy-Veech groups math.DS · 2016 · author #1
  6. Weak mixing properties of interval exchange transformations and translation flows math.DS · 2016 · author #1
  7. Sharp Phase transitions for the almost Mathieu operator math.SP · 2015 · author #1
  8. Towers for commuting endomorphisms, and combinatorial applications math.DS · 2015 · author #1
  9. Some monoids of Pisot matrices math.DS · 2015 · author #1
  10. Lebesgue measure of Feigenbaum Julia sets math.DS · 2015 · author #1
  11. Diffusion for chaotic plane sections of 3-periodic surfaces math.DS · 2014 · author #1
  12. An integrable deformation of an ellipse of small eccentricity is an ellipse math.DS · 2014 · author #1
  13. Diffeomorphisms with positive metric entropy math.DS · 2014 · author #1
  14. On the Hausdorff dimension of the Rauzy gasket math.DS · 2013 · author #1
  15. Monotonic cocycles math.DS · 2013 · author #1
  16. Complex one-frequency cocycles math.DS · 2013 · author #1
  17. Weak mixing directions in non-arithmetic Veech surfaces math.DS · 2013 · author #1
  18. SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are regular math.DS · 2013 · author #1
  19. On manifolds supporting distributionally uniquely ergodic diffeomorphisms math.DS · 2012 · author #1
  20. On the Kotani-Last and Schrodinger conjectures math.DS · 2012 · author #1
  21. Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge bundle math.DS · 2012 · author #1
  22. Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows math.DS · 2011 · author #1
  23. Almost reducibility and absolute continuity I math.DS · 2010 · author #1
  24. The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes math.DS · 2010 · author #1
  25. Density of positive Lyapunov exponents for SL(2,R) cocycles math.DS · 2010 · author #1
  26. Mixing for Time-Changes of Heisenberg Nilflows math.DS · 2010 · author #1
  27. A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies math.DS · 2010 · author #1
  28. Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators math.DS · 2009 · author #1
  29. Nonuniform Hyperbolicity, Global Dominated Splittings and Generic Properties of Volume-Preserving Diffeomorphisms math.DS · 2009 · author #1
  30. Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials math.DS · 2009 · author #1
  31. Global theory of one-frequency Schrodinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity math.DS · 2009 · author #1
  32. Opening Gaps in the Spectrum of Strictly Ergodic Schr\"odinger Operators math.DS · 2009 · author #1
  33. Nonuniform Center Bunching and the Genericity of Ergodicity among $C^1$ Partially Hyperbolic Symplectomorphisms math.DS · 2008 · author #1
  34. Bulk Universality and Clock Spacing of Zeros for Ergodic Jacobi Matrices with A.C. Spectrum math.SP · 2008 · author #1
  35. The absolutely continuous spectrum of the almost Mathieu operator math.DS · 2008 · author #1
  36. On the regularization of conservative maps math.DS · 2008 · author #1
  37. Distortion elements in $Diff^\infty(R/Z)$ math.DS · 2008 · author #1
  38. Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles math.DS · 2008 · author #1
  39. On the spectrum and Lyapunov exponent of limit periodic Schrodinger operators math.DS · 2008 · author #1
  40. Almost localization and almost reducibility math.DS · 2008 · author #1
  41. Parapuzzle of the Multibrot set and typical dynamics of unimodal maps math.DS · 2008 · author #1
  42. Absolute Continuity of the Integrated Density of States for the Almost Mathieu Operator with Non-Critical Coupling math.DS · 2007 · author #1
  43. Cantor Spectrum for Schr\"odinger Operators with Potentials arising from Generalized Skew-shifts math.DS · 2007 · author #1
  44. A uniform dichotomy for generic $SL(2,R)$ cocycles over a minimal base math.DS · 2006 · author #1
  45. Exponential decay of correlations for the Rauzy-Veech-Zorich induction map math.DS · 2006 · author #1
  46. Generic expanding maps without absolutely continuous invariant $\sigma$-finite measure math.DS · 2006 · author #1
  47. Simplicity of Lyapunov spectra: a sufficient criterion math.DS · 2006 · author #1
  48. A generic $C^1$ map has no absolutely continuous invariant probability measure math.DS · 2006 · author #1
  49. Exponential mixing for the Teichmuller flow math.DS · 2005 · author #1
  50. Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture math.DS · 2005 · author #1
  51. Combinatorial rigidity for unicritical polynomials math.DS · 2005 · author #1
  52. The Ten Martini Problem math.DS · 2005 · author #1
  53. Smoothness of solenoidal attractors math.DS · 2005 · author #1
  54. Generic singular continuous spectrum for ergodic Schr\"odinger operators math.DS · 2004 · author #1
  55. Hausdorff dimension and conformal measures of Feigenbaum Julia sets math.DS · 2004 · author #1
  56. Examples of Feigenbaum Julia sets with small Hausdorff dimension math.DS · 2004 · author #1
  57. Weak mixing for interval exchange transformations and translation flows math.DS · 2004 · author #1
  58. Reducibility or non-uniform hyperbolicity for quasiperiodic Schrodinger cocycles math.DS · 2003 · author #1
  59. Convergence of an exact quantization scheme math.DS · 2003 · author #1
  60. Bifurcations of unimodal maps math.DS · 2003 · author #1
  61. Phase-parameter relation and sharp statistical properties for general families of unimodal maps math.DS · 2003 · author #1
  62. Statistical properties of unimodal maps: physical measures, periodic orbits and pathological laminations math.DS · 2003 · author #1
  63. Smooth Siegel disks via semicontinuity: a remark on a proof of Buff and Cheritat math.DS · 2003 · author #1
  64. Robust transitivity and topological mixing for $C^1$-flows math.DS · 2002 · author #2
  65. Infinitesimal perturbations of rational maps math.DS · 2001 · author #1
  66. Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family math.DS · 2001 · author #1
  67. Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative math.DS · 2001 · author #1
  68. A formula with some applications to the theory of Lyapunov exponents math.DS · 2001 · author #1
  69. Statistical properties of unimodal maps: the quadratic family math.DS · 2000 · author #1

Mentions

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Frequent Coauthors