Lista de Publicações:


    Sistemas Dinâmicos
  1. Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces II, com Manuel Kany, Mathematische Nachrichten (aceito 2024).
  2. Sistemas Dinâmicos e Teoria dos Números
  3. New gaps on the Lagrange and Markov spectra, com Luke Jeffreys e Carlos Gustavo Moreira, Journal de Théorie des Nombres de Bordeaux (aceito 2023).
  4. Sistemas Dinâmicos
  5. Cohomological equation and local conjugacy class of Diophantine interval exchange maps, com Giovanni Forni e Stefano Marmi, Proceedings of the AMS (aceito 2019).
  6. Geometria Algébrica
  7. Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials, com Bertrand DeroinComptes Rendus de l'Académie des Sciences, vol. 361, 1691-1698 (2023).
  8. Sistemas Dinâmicos
  9. Non-planarity of \(SL(2,\Bbb{Z})\)-orbits of origamis in \(\mathcal{H}(2)\), com Luke JeffreysBulletin of the London Mathematical Society, vol. 55, issue 5,  2258-2269 (2023).
  10. Sistemas Dinâmicos e Teoria dos Números
  11. Hausdorff dimension of Gauss-Cantor sets and two applications to classical Lagrange and Markov spectra, com Carlos Gustavo Moreira, Mark Pollicott e Polina VytnovaAdvances in Mathematics, vol. 409, parte B, artigo 108693 (2022).
  12. Sistemas Dinâmicos e Geometria
  13. Cusp excursions of random geodesics in Weil-Petersson type metrics, com Vaibhav GadreJournal of Differential Geometry, vol. 121, issue 1, 31-55 (2022).
  14. Teoria dos Números
  15. \(M \setminus L\) is not closed, com Davi Lima, Carlos Gustavo Moreira e Sandoel Vieira,  International Mathematics Research Notices, vol. 2022, issue 1, 265-311 (2022).
  16. Teoria dos Números
  17. \(M \setminus L\) near 3, com Davi Lima, Carlos Gustavo Moreira e Sandoel Vieira,  Moscow Mathematical Journal, vol. 21,  issue 4, 767-788 (2021).
  18. Sistemas Dinâmicos
  19. Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension, com  Jacob Palis e Jean-Christophe Yoccoz, Journal of the Inst. of Math. of Jussieu, vol. 20, issue 1, 305-329 (2021).
  20. Sistemas Dinâmicos e Teoria dos Números
  21. Fractal geometry of the complement of Lagrange spectrum in Markov spectrum, com Carlos Gustavo MoreiraCommentarii Mathematici Helvetici, vol. 95, issue 3, 593-633 (2020).
  22. Sistemas Dinâmicos
  23. The beginning of the Lagrange spectrum of certain origamis of genus twoComptes Rendus de l'Académie des Sciences, vol. 358, issue 4, 475-479 (2020).
  24. Sistemas Dinâmicos
  25. An origami of genus 3 with arithmetic Kontsevich-Zorich monodromy,  com Pascal HubertMathematical Proceedings of the Cambridge Philosophical Society, vol. 169, issue 1, 19-30 (2020).
  26. Sistemas Dinâmicos e Ciência da Computação
  27. Approximations of the Lagrange and Markov spectra, com  Vincent Delecroix e Carlos Gustavo MoreiraMathematics of Computation, vol. 89,  issue 325, 2521-2536 (2020).
  28. Sistemas Dinâmicos
  29. Lower bounds on the dimension of the Rauzy gasket, com Rodolfo Gutiérrez-RomoBulletin de la SMF, vol. 148, issue 2, 321-327 (2020).
  30. Sistemas Dinâmicos e Geometria Algébrica
  31. Apêndice On special Lagrangian fibrations in generic twistor families of K3 surfaces, com Nicolas Bergeron,  do artigo Counting Special Lagrangian Fibrations in Twistor Families of K3 surfaces de Simion Filip, Annales scientifiques de l'ENS, vol. 53, 713-750 (2020).
  32. Sistemas Dinâmicos e Teoria Ergódica
  33. Semisimplicity of the Lyapunov spectrum for irreducible cocycles, com  Alex Eskin, Israel Journal of Mathematics, vol. 230, 973-1005 (2019).
  34. Sistemas Dinâmicos e Teoria Geométrica de Grupos
  35. The Kontsevich-Zorich cocycle over Veech-McMullen family of symmetric translation surfaces, com Artur Avila  e  Jean-Christophe Yoccoz, Journal of Modern Dynamics, Veech Special volume, vol. 14, 21-54 (2019).
  36. Sistemas Dinâmicos e Teoria dos Números
  37. Markov spectrum near Freiman's isolated points in M-L, com Carlos Gustavo MoreiraJournal of Number Theory, vol. 194, 390-408 (2019).
  38. Sistemas Dinâmicos e Teoria dos Números
  39. HD(M-L) > 0.353, com Carlos Gustavo Moreira, Acta Arithmetica, vol. 188, 183-208 (2019).
  40. Sistemas Dinâmicos e Teoria dos Números
  41. 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).
  42. Sistemas Dinâmicos e Teoria Ergódica
  43. 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).
  44. Sistemas Dinâmicos e Teoria Ergódica
  45. Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities,  com  Yuri LimaAnnales de l'ENS, vol. 51, no.1, 1-38 (2018).
  46. Sistemas Dinâmicos e Teoria Ergódica
  47. Zorich conjecture for hyperelliptic Rauzy-Veech groups, com Artur Avila  e  Jean-Christophe Yoccoz, Mathematische Annalen, vol. 370, 785–809 (2018).
  48. Sistemas Dinâmicos
  49. 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).
  50. Sistemas Dinâmicos e Teoria Ergódica
  51. 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).
  52. Sistemas Dinâmicos 
  53. 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).
  54. Sistemas Dinâmicos, Teoria Ergódica e Geometria Diferencial
  55. 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.  
  56. Sistemas Dinâmicos e Teoria Ergódica
  57. 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).
  58. Sistemas Dinâmicos e Teoria Ergódica
  59. 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).
  60. Sistemas Dinâmicos e Teoria Ergódica
  61. A coding-free simplicity criterion for the Lyapunov exponents of Teichmueller curves, com  Alex EskinGeometriae Dedicata, vol. 179, no. 1,  45-67 (2015).
  62. Sistemas Dinâmicos, Teoria Ergódica e Geometria Algébrica
  63. 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). 
  64. Sistemas Dinâmicos e Teoria Ergódica
  65. 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).
  66. Sistemas Dinâmicos e Teoria Ergódica
  67. Hodge-Teichmueller planes and finiteness results for Teichmueller curves, com  Alex WrightDuke Mathematical Journal, vol. 164, no. 6, 1041-1077 (2015).
  68. Sistemas Dinâmicos e Teoria Ergódica
  69. 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).
  70. Sistemas Dinâmicos e Teoria Ergódica
  71. 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.
  72. Sistemas Dinâmicos e Teoria Ergódica
  73. 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).
  74. Sistemas Dinâmicos, Teoria Ergódica e Teoria de Representações
  75. Homology of origamis with symmetries , com  Jean-Christophe YoccozDavid ZmiaikouAnnales de l´Institut Fourier,  vol.64, no. 3, 1131-1176 (2014). Existe um Corrigendum.
  76. Sistemas Dinâmicos e Teoria Ergódica
  77. Explicit Teichmüller curves with complementary series, com  Gabriela Weitze-SchmithüsenBulletin de la SMF, vol. 141, no. 4 , 557-602 (2013) .
  78. Sistemas Dinâmicos e Teoria Ergódica
  79. \(SL(2,\Bbb{R})\)-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.
  80. Sistemas Dinâmicos
  81. 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).
  82. Sistemas Dinâmicos e Teoria Ergódica
  83. Some quantitative versions of Ratner’s mixing estimates, Boletim da SBM, vol. 44, no. 3, 469-488 (2013).
  84. Sistemas Dinâmicos e Teoria Ergódica
  85. Apêndice Other relevant examples do 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).
  86. Sistemas Dinâmicos e Teoria Ergódica
  87. Square-tiled cyclic covers, com Giovanni Forni e Anton Zorich , Journal of Modern Dynamics, vol. 5,  no.2,  285 - 318 (2011).
  88. Sistemas Dinâmicos e Teoria Ergódica
  89. 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).
  90. Análise
  91. Well-posedness for the 1D Zakharov-Rubenchik system, com Felipe Linares,  Advances in Differential Equations, vol. 14, n.3-4, 261-288 (2009).
  92. Análise
  93. 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).
  94. Análise
  95. 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).
  96. Análise
  97. On the periodic Schrödinger-Debye equation, com A. Arbieto,  Communications on Pure and Applied Analysis, vol. 7, 699-713 (2008).
  98. Análise
  99. Global well-posedness of NLS-KdV systems for periodic functions, Electronic Journal of Differential Equations , vol. 2007, n. 7, 1-20 (2007).
  100. Sistemas Dinâmicos e Teoria Ergódica
  101. 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.
  102. Análise
  103. Rough solutions for the periodic Schrödinger - Korteweg-deVries system, com A. Arbieto e Adán Corcho,  Journal of Differential Equations, vol. 230, 295-336 (2006).
  104. Geometria e Topologia
  105. Geometrical versus Topological properties of manifolds, com Krerley Oliveira,  Journal of the Institute of Mathematics of Jussieu, vol. 4, 639-651 (2005).
  106. Sistemas Dinâmicos e Teoria Ergódica
  107. The Bernoulli property for weakly hyperbolic systems, com A. Arbieto e M. PacíficoJournal of Statistical Physics, vol. 117, 243-260 (2004).
  108. Geometria
  109. Immersions with fractal sets of points of zero Gauss-Kronecker curvature, com A. ArbietoBulletin of the Brazilian Mathematical Society, vol. 35, 363-376 (2004).
  110. Sistemas Dinâmicos e Teoria Ergódica
  111. Equilibrium states for random non-uniformly expanding maps, com A. Arbieto e K. Oliveira,   Nonlinearity, vol. 17, 581-593 (2004).
  112. Sistemas Dinâmicos e Teoria Ergódica
  113. Abundance of stable ergodicity, com C. BonattiM. Viana e A. WilkinsonCommentarii Mathematici Helvetici, vol.79, 753-757 (2004).
  114. Sistemas Dinâmicos e Teoria Ergódica
  115. Decidability of chaos for some families of dynamical systems, com A. ArbietoFoundations  of  Computational  Mathematics, vol. 4, 269-275 (2004).