Lista de Publicações:


    Sistemas Dinâmicos 
  1. An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes, com Jacob Palis, Discrete and Continuous Dynamical Systems (2017).
  2. Sistemas Dinâmicos e Teoria Ergódica
  3. Zorich conjecture for hyperelliptic Rauzy-Veech groups, com Artur Avila  e  Jean-Christophe Yoccoz, Mathematische Annalen (2017).
  4. Sistemas Dinâmicos e Teoria Ergódica
  5. Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases, com Mario Bessa, Jairo Bochi, Michel Cambrainha, Paulo Varandas e Disheng XuBoletim da SBM (2017).
  6. Sistemas Dinâmicos, Teoria Ergódica e Geometria Diferencial
  7. Rates of mixing for the Weil-Petersson geodesic flow: exponential mixing in exceptional moduli spaces, com Keith BurnsHoward Masur  e  Amie WilkinsonGeometric and Functional Analysis, vol. 27, no. 2, 240–288 (2017). Para acessar aos cálculos suplementares deste artigo, que justificam o Lema 4.8 e a Proposição 4.10, clique aqui: Calculating the \( \star \) connection.  
  8. Sistemas Dinâmicos e Teoria Ergódica
  9. Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces, com Keith BurnsHoward Masur  e  Amie Wilkinson, Advances in Mathematics, vol. 306, 589-602 (2017).
  10. Sistemas Dinâmicos e Teoria Ergódica
  11. Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities,  com  Yuri LimaAnnales de l'ENS (2016).
  12. Sistemas Dinâmicos e Teoria Ergódica
  13. Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra, com Michel CambrainhaPortugaliae Mathematica, vol. 73,  no. 3, 171-176 (2016).
  14. Sistemas Dinâmicos e Teoria Ergódica
  15. Quaternionic covers and monodromy of the Kontsevich-Zorich cocycle in orthogonal groups, com Giovanni Forni e Simion Filip, Journal of the European Mathematical Society (2015).
  16. Sistemas Dinâmicos e Teoria Ergódica
  17. A coding-free simplicity criterion for the Lyapunov exponents of Teichmueller curves, com  Alex EskinGeometriae Dedicata, vol. 179, no. 1,  45-67 (2015).
  18. Sistemas Dinâmicos, Teoria Ergódica e Geometria Algébrica
  19. A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces, com Martin Möller  e  Jean-Christophe Yoccoz, Inventiones mathematicae, vol. 202, no. 1, 333-425 (2015). 
  20. Sistemas Dinâmicos e Teoria Ergódica
  21. Some examples of isotropic \(SL(2,\Bbb{R})\)-invariant subbundles of the Hodge bundle, com  Gabriela Weitze-SchmithüsenInternational Mathematics Research Notices, vol. 2015, no.18, 8657-8679 (2015).
  22. Sistemas Dinâmicos e Teoria Ergódica
  23. Hodge-Teichmueller planes and finiteness results for Teichmueller curves, com  Alex WrightDuke Mathematical Journal, vol. 164, no. 6, 1041-1077 (2015).
  24. Sistemas Dinâmicos e Teoria Ergódica
  25. Un contre-exemple à la réciproque du critère de Forni pour la positivité des exposants  de  Lyapunov  du  cocycle  de  Kontsevich-Zorich, com  Vincent DelecroixMathematical Research Letters, vol. 22, no. 6, 1667 - 1678 (2015).
  26. Sistemas Dinâmicos e Teoria Ergódica
  27. Zero Lyapunov exponents of the Hodge bundle, com  Giovanni Forni e Anton Zorich,  Commentarii Mathematici Helvetici, vol. 89, no. 2, 489–535 (2014).  Para acessar ao código do programa  Mathematica utilizado clique aqui.
  28. Sistemas Dinâmicos e Teoria Ergódica
  29. Lyapunov spectrum of invariant subbundles of the Hodge bundle, com  Giovanni Forni e  Anton Zorich ,  Ergodic Theory and Dynamical Systems, vol. 34, no. 2, 353-408 (2014).
  30. Sistemas Dinâmicos, Teoria Ergódica e Teoria de Representações
  31. Homology of origamis with symmetries , com  Jean-Christophe YoccozDavid ZmiaikouAnnales de l´Institut Fourier,  vol.64, no. 3, 1131-1176 (2014). Existe um Corrigendum.
  32. Sistemas Dinâmicos e Teoria Ergódica
  33. Explicit Teichmüller curves with complementary series, com  Gabriela Weitze-SchmithüsenBoletim da SMF, vol. 141, no. 4 , 557-602 (2013) .
  34. Sistemas Dinâmicos e Teoria Ergódica
  35. \(SL(2,\Bbb{R})\)-invariant probability measures on the moduli spaces of translation surfaces are regular, com  Artur Avila e Jean-Christophe YoccozGeometric and Functional Analysis, vol. 23, no. 6, 1705-1729 (2013).  Veja aqui (1080p | 480p | 240p)  vídeo sobre o artigo.
  36. Sistemas Dinâmicos
  37. Axiom A versus Newhouse phenomena for Benedicks-Carleson toy models, com Carlos Gustavo Moreira e Enrique PujalsAnnales de l'ENS, vol. 46, no. 6,  857-878 (2013).
  38. Sistemas Dinâmicos e Teoria Ergódica
  39. Some quantitative versions of Ratner’s mixing estimates, Boletim da SBM, vol.44, no.3, 469-488 (2013).
  40. Sistemas Dinâmicos e Teoria Ergódica
  41. Apêndice ao artigo A geometric criterion for the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle de Giovanni ForniJournal of Modern Dynamics ,  vol. 5,  no.2,  355 - 395 (2011).
  42. Sistemas Dinâmicos e Teoria Ergódica
  43. Square-tiled cyclic covers, com Giovanni Forni e Anton Zorich , Journal of Modern Dynamics, vol. 5,  no.2,  285 - 318 (2011).
  44. Sistemas Dinâmicos e Teoria Ergódica
  45. The action of the affine diffeomorphisms on the relative homology group of certain exceptionally symmetric origamis, com Jean-Christophe Yoccoz , Journal of Modern Dynamics, vol. 4, no.3, 453-486 (2010).
  46. Análise
  47. Well-posedness for the 1D Zakharov-Rubenchik system, com Felipe Linares,  Advances in Differential Equations, vol. 14, n.3-4, 261-288 (2009).
  48. Análise
  49. Sharp bilinear estimates and well-posedness for the 1D Schrödinger-Debye system, com Adán Corcho,  Differential and Integral Equations , vol. 22, n.3-4, 357-391 (2009).
  50. Análise
  51. Global well-posedness and non-linear stability of periodic traveling waves for a Schrödinger-Benjamin-Ono system , com Jaime Angulo e Didier Pilod,  Communications in Pure and Applied Analysis, vol. 8, n.3, 815-844 (2009).
  52. Análise
  53. On the periodic Schrödinger-Debye equation, com A. Arbieto,  Communications on Pure and Applied Analysis, vol. 7, 699-713 (2008).
  54. Análise
  55. Global well-posedness of NLS-KdV systems for periodic functions, Electronic Journal of Differential Equations , vol. 2007, n. 7, 1-20 (2007).
  56. Sistemas Dinâmicos e Teoria Ergódica
  57. A pasting lemma and some applications for conservative systems (nova versão do: "A pasting lemma I: the vector field case"), com A. Arbieto, Ergodic Theory and Dynamical Systems, vol. 27, 1399-1417 (2007). Existe um Corrigendum.
  58. Análise
  59. Rough solutions for the periodic Schrödinger - Korteweg-deVries system, com A. Arbieto e Adán Corcho,  Journal of Differential Equations, vol. 230, 295-336 (2006).
  60. Geometria e Topologia
  61. Geometrical versus Topological properties of manifolds, com Krerley Oliveira,  Journal of the Institute of Mathematics of Jussieu, vol. 4, 639-651 (2005).
  62. Sistemas Dinâmicos e Teoria Ergódica
  63. The Bernoulli property for weakly hyperbolic systems, com A. Arbieto e M. PacíficoJournal of Statistical Physics, vol. 117, 243-260 (2004).
  64. Geometria
  65. Immersions with fractal sets of points of zero Gauss-Kronecker curvature, com A. ArbietoBulletin of the Brazilian Mathematical Society, vol. 35, 363-376 (2004).
  66. Sistemas Dinâmicos e Teoria Ergódica
  67. Equilibrium states for random non-uniformly expanding maps, com A. Arbieto e K. Oliveira,   Nonlinearity, vol. 17, 581-593 (2004).
  68. Sistemas Dinâmicos e Teoria Ergódica
  69. Abundance of stable ergodicity, com C. BonattiM. Viana e A. WilkinsonCommentarii Mathematici Helvetici, vol.79, 753-757 (2004).
  70. Sistemas Dinâmicos e Teoria Ergódica
  71. Decidability of chaos for some families of dynamical systems, com A. ArbietoFoundations  of  Computational  Mathematics, vol. 4, 269-275 (2004).