Lista de Publicações:


    Sistemas Dinâmicos e Teoria dos Números
  1. Markov spectrum near Freiman's isolated points in M-L, com Carlos Gustavo MoreiraJournal of Number Theory (2018).
  2. Sistemas Dinâmicos e Teoria dos Números
  3. HD(M-L) > 0.353, com Carlos Gustavo Moreira, Acta Arithmetica (2018).
  4. Sistemas Dinâmicos e Teoria dos Números
  5. Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra, com Aline Cerqueira e Carlos Gustavo MoreiraJournal of Modern Dynamics ,  vol. 12, 151-174 (2018).
  6. Sistemas Dinâmicos e Teoria Ergódica
  7. 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, vol. 49, no. 1, 73-87 (2018).
  8. Sistemas Dinâmicos e Teoria Ergódica
  9. Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities,  com  Yuri LimaAnnales de l'ENS, vol. 51, no.1, 1-38 (2018).
  10. Sistemas Dinâmicos e Teoria Ergódica
  11. Zorich conjecture for hyperelliptic Rauzy-Veech groups, com Artur Avila  e  Jean-Christophe Yoccoz, Mathematische Annalen, vol. 370, 785–809 (2018).
  12. Sistemas Dinâmicos
  13. Non-uniformly hyperbolic horseshoes in the standard family, com Carlos Gustavo Moreira e Jacob PalisComptes Rendus de l'Académie des Sciences, vol. 356, no. 2, 146-149 (2018).
  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, vol. 20, no. 1, 165-198 (2018).
  16. Sistemas Dinâmicos 
  17. An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes, com Jacob Palis, Discrete and Continuous Dynamical Systems, vol. 38,  no. 2,  431- 448 (2018).
  18. Sistemas Dinâmicos, Teoria Ergódica e Geometria Diferencial
  19. 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.  
  20. Sistemas Dinâmicos e Teoria Ergódica
  21. 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).
  22. Sistemas Dinâmicos e Teoria Ergódica
  23. 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).
  24. Sistemas Dinâmicos e Teoria Ergódica
  25. A coding-free simplicity criterion for the Lyapunov exponents of Teichmueller curves, com  Alex EskinGeometriae Dedicata, vol. 179, no. 1,  45-67 (2015).
  26. Sistemas Dinâmicos, Teoria Ergódica e Geometria Algébrica
  27. 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). 
  28. Sistemas Dinâmicos e Teoria Ergódica
  29. 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).
  30. Sistemas Dinâmicos e Teoria Ergódica
  31. Hodge-Teichmueller planes and finiteness results for Teichmueller curves, com  Alex WrightDuke Mathematical Journal, vol. 164, no. 6, 1041-1077 (2015).
  32. Sistemas Dinâmicos e Teoria Ergódica
  33. 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).
  34. Sistemas Dinâmicos e Teoria Ergódica
  35. 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.
  36. Sistemas Dinâmicos e Teoria Ergódica
  37. 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).
  38. Sistemas Dinâmicos, Teoria Ergódica e Teoria de Representações
  39. Homology of origamis with symmetries , com  Jean-Christophe YoccozDavid ZmiaikouAnnales de l´Institut Fourier,  vol.64, no. 3, 1131-1176 (2014). Existe um Corrigendum.
  40. Sistemas Dinâmicos e Teoria Ergódica
  41. Explicit Teichmüller curves with complementary series, com  Gabriela Weitze-SchmithüsenBoletim da SMF, vol. 141, no. 4 , 557-602 (2013) .
  42. Sistemas Dinâmicos e Teoria Ergódica
  43. \(SL(2,\Bbb{R})\)-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.
  44. Sistemas Dinâmicos
  45. 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).
  46. Sistemas Dinâmicos e Teoria Ergódica
  47. Some quantitative versions of Ratner’s mixing estimates, Boletim da SBM, vol.44, no.3, 469-488 (2013).
  48. Sistemas Dinâmicos e Teoria Ergódica
  49. 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).
  50. Sistemas Dinâmicos e Teoria Ergódica
  51. Square-tiled cyclic covers, com Giovanni Forni e Anton Zorich , Journal of Modern Dynamics, vol. 5,  no.2,  285 - 318 (2011).
  52. Sistemas Dinâmicos e Teoria Ergódica
  53. 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).
  54. Análise
  55. Well-posedness for the 1D Zakharov-Rubenchik system, com Felipe Linares,  Advances in Differential Equations, vol. 14, n.3-4, 261-288 (2009).
  56. Análise
  57. 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).
  58. Análise
  59. 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).
  60. Análise
  61. On the periodic Schrödinger-Debye equation, com A. Arbieto,  Communications on Pure and Applied Analysis, vol. 7, 699-713 (2008).
  62. Análise
  63. Global well-posedness of NLS-KdV systems for periodic functions, Electronic Journal of Differential Equations , vol. 2007, n. 7, 1-20 (2007).
  64. Sistemas Dinâmicos e Teoria Ergódica
  65. 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.
  66. Análise
  67. Rough solutions for the periodic Schrödinger - Korteweg-deVries system, com A. Arbieto e Adán Corcho,  Journal of Differential Equations, vol. 230, 295-336 (2006).
  68. Geometria e Topologia
  69. Geometrical versus Topological properties of manifolds, com Krerley Oliveira,  Journal of the Institute of Mathematics of Jussieu, vol. 4, 639-651 (2005).
  70. Sistemas Dinâmicos e Teoria Ergódica
  71. The Bernoulli property for weakly hyperbolic systems, com A. Arbieto e M. PacíficoJournal of Statistical Physics, vol. 117, 243-260 (2004).
  72. Geometria
  73. Immersions with fractal sets of points of zero Gauss-Kronecker curvature, com A. ArbietoBulletin of the Brazilian Mathematical Society, vol. 35, 363-376 (2004).
  74. Sistemas Dinâmicos e Teoria Ergódica
  75. Equilibrium states for random non-uniformly expanding maps, com A. Arbieto e K. Oliveira,   Nonlinearity, vol. 17, 581-593 (2004).
  76. Sistemas Dinâmicos e Teoria Ergódica
  77. Abundance of stable ergodicity, com C. BonattiM. Viana e A. WilkinsonCommentarii Mathematici Helvetici, vol.79, 753-757 (2004).
  78. Sistemas Dinâmicos e Teoria Ergódica
  79. Decidability of chaos for some families of dynamical systems, com A. ArbietoFoundations  of  Computational  Mathematics, vol. 4, 269-275 (2004).