Publicaciones

  1. Scape rates of some chaotic Julia sets.

  2. Comm. Math. Phys.,  133 , 197-215, (1990).
    Abstract, pdf file.
     
     

  3. Regularity of topological and metric entropy of hyperbolic flows.

  4. Math. Zeitschrift, 210 , 97-111, (1992).
    Abstract, pdf file.
     
     

  5. On the C2-creation of links of critical points.

  6. Erg. Th. & Dyn. Syst., 13 , 263-288, (1993).
    Abstract, dvi file, ps file.
     
     

  7. Average linking numbers for closed orbits of hyperbolic flows.

  8. Jour. London Math. Soc., (2)  51 ,  614-624, (1995).
    Abstract, dvi file, ps file.
     
     

  9. Derivatives of equilibrium states.

  10. Bol. Soc. Bras. Mat.,  vol. 26,  N. 2, 211-228, (1995).
    Abstract, pdf file.
     
     

  11. The Hausdorff dimension of the harmonic class for surfaces of negative curvature.

  12. Journal of Geometric Analysis, vol. 8, no. 4, 533-569, (1998).
    Abstract, pdf file, ps file, ps.gz file.
     
     

  13. Non-hyperbolic surfaces with ideal triangles of dinite area.

  14. with Oswaldo Ruggiero.
    Bol. Soc. Bras. Mat.,  vol. 28, N. 1, 43-71, (1997).
    Abstract, dvi file, ps file.
     
     

  15. Average Linking Numbers for arbitary flows.

  16. with Renato Iturriaga .
    Ergodic Theory Dynam. Systems 19 (1999), no. 6, 1425--1435.
    abstract, pdf file.
     
     

  17. Lagrangian Flows: The Dynamics of Globally Minimizing Orbits II.

  18. with Renato Iturriaga & Jorge Delgado.
    Bol. Soc. Bras. Mat., 28:2, 155-196, (1997)
    abstract, dvi file and ps file available.
     
     

  19. Convex Hamiltonians without conjugate points

  20. with Renato Iturriaga .
    Erg. Th. & Dyn. Syst. 19, (1999), 901-952.
    abstract, ps file, pdf file.
     
     

  21. On the creation of conjugate points for Hamiltonian Systems

  22. with Renato Iturriaga and Hector Sanchez Morgado.
    Non-linearity 11, 355-361, (1998).
    abstract, pdf file, ps.gz file available.
     
     

  23. Lagrangian Graphs, Minimizing Measures and Mañé's Critical Values

  24. with Renato Iturriaga, Gabriel Paternain  and Miguel Paternain.
    GAFA, 8, 788-809, (1998).
    abstract, pdf file.
     
     

  25. Connecting orbits between static classes for generic Lagrangian systems.

  26. with Gabriel Paternain.
    Topology, 41 (2002), (4): 645-666.

    abstract, tex.gz, pdf files.
     
     

  27. Lyapunov minimizing measures for expanding maps of the circle.

  28. with Artur Lopes and Phillipe Thieullen.

    To appear Erg. Th. & Dyn. Sys. 21, 5 (october 2001), 1379-1409.
    abstract, pdf file and ps.gz file available.
    Version for subshifts of finite type ( "Maximizing measures for expanding transformations"):
    abstract, dvi file, pdf fileand ps file available.
     

  29. Global Minimizers of Autonomous Lagrangians.

  30. with Renato Iturriaga.

    22 Coloquio Brasileiro de Matematica.
    Impa, Rio de Janeiro, 1999.

    Index, tex file, tex.gz file

    on UNIX systems do:

    ps file, ps.gz file, pdf file available.
     
      The cover is here.
     
     
  31. The Palais-Smale condition and Mañé's Critical Values.

  32. with Renato Iturriaga, Gabriel Paternain and Miguel Paternain.

    Ann. Henri Poincaré 1 (2000), no. 4, 655--684.
    abstract, LaTeX file, pdf file.
     
     

  33. The asymptotic Maslov index and its applications.
  34. with  Jean Marc Gambaudo, Renato Iturriaga and Gabriel Paternain.

    Erg. Th. & Dynam. Syst. 23 (2003), 1415-1443.
      abstract, LaTeX file, pdf file and ps.gz file.

  35. Action Potential and weak KAM solutions.
  36. Cal. Var. 13 (2001) 4, 427--458.
    abstract, LaTeX, pdf. files available.

  37. Weak solutions of the Hamilton-Jacobi equation for Time Periodic Lagrangians.

  38. with Renato Iturriaga and Hector Sanchez Morgado.

    abstract, LaTeX, dvi, ps.gz, pdf and pdf.gz files available.

  39. Partially hyperbolic geodesic flows are Anosov.
  40. C.R.A.S. Ser. I-Math., 334 (2002), (7): 585-590.
    abstract, LaTeX, pdf.

  41. Genericity of geodesic flows with positive topological entropy on S2.

  42. with Gabriel Paternain.

    J. Differential Geom. 61 (2002), no. 1, 1--49.

    abstract, LaTeX and pdf files.

  43. Periodic orbits for exact magnetic flows on surfaces.

  44. with Leonardo Marcarini and Gabriel Paternain.

    Int. Math. Res. Notices, 8 (2004) 361-387.

    abstract, pdf file.

  45. The Palais-Smale condition for contact type energy levels for convex lagrangian systems.

  46. Calc. Var. Partial Differential Equations 27 (2006), no. 3, 321--395.

    abstract, pdf file.

  47. C2-densely the 2-sphere has an elliptic closed geodesic.

  48. with Fernando Oliveira

    Ergodic Theory Dynam. Systems 24 (2004), no. 5, 1395--1423.

    Dynamical systems. Michael Herman memorial volume. Edited by A. Fathi and J.-C. Yoccoz.
    Reprint of Ergodic Theory Dynam. Systems 24 (2004), no. 5. Cambridge University Press, Cambridge, 2006.

    abstract, pdf and ps.gz files. The talk.

  49. Geodesic flows with positive topological entropy, twist maps and hyperbolicity.
  50. abstract, and pdf files. Also the talk and the IHP course.

  51. A generic property of families of Lagrangian systems.

  52. with Patrick Bernard.

    Annals of Mathematics, 167 (2008), 1099-1108.

    The paper: abstract, dvi and pdf files.

    The talk: notes and pdf-presentation of the talk.

  53. ICM-2010 Paper, Talk.
  54. Congreso Nacional SMM, Tuxtla-Gutierrez 2010 Talk.
  55. Homogenization on Arbitrary Manifolds.

  56. with Renato Iturriaga and Antonio Siconolfi.

    abstract and pdf file. The talk at MCA2013.

  57. Ground States are generically a Periodic Orbit.
  58. abstract and pdf file. The talk at USP, Sao Paulo.

Last modified: December 19, 2013.