André Salles de Carvalho

Publications

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  • Publications
  • Cursos
  1. On digit frequencies in β-expansions , joint with P. Boyland e T. Hall. Trans. Amer. Math. Soc., 368 (12), 8633–8674
  2. New rotation sets in a family of torus homeomorphisms, joint with P. Boyland e T. Hall. Invent. Math. 204 (2016), 895–937.
  3. Symbol ratio minimax sequences in the lexicographic order, joint with P. Boyland and T. Hall. Ergodic Theory Dynam. Systems 35 (2015), 2371–2396.
  4. Riemann surfaces out of paper,joint with T. Hall. Proc. London Math. Soc. (3) 108 (2014), 541–574.
  5. Inverse limits as attractors in parameterized families, joint with P. Boyland and T. Hall. Bull. London Math. Soc. 45 (2013), 1075–1085.
  6. Paper-folding schemes, Riemann surfaces and convergence of pseudo-Anosov sequences, joint with T. Hall. Geom. Topol. 16 (2012), 1881–1966.
  7. Paper surfaces and dynamical limits, joint with T. Hall. Proc. Natl. Acad. Sci. USA 107 (2010) 32, 14030–14035.
  8. Decoration invariants for horseshoe braids, joint with T. Hall. Discrete Cont. Dyn. Syst. 27 (2010) 3, 863–906.
  9. On period minimal pseudo-Anosov braids, joint with com T. Hall and R. Venzke. Proc. Amer. Math. Soc. 137 (2009) 5, 1771–1776.
  10. Renormalization in the Hénon family I: universality but non-rigidity, joint with M. Lyubich e M. Martens, J. Stat. Phys. 121 (2005) 5-6, 611–669.
  11. Unimodal generalized pseudo-Anosov maps, joint with T. Hall, Geom. Topol. 8 (2004), 1127–1188.
  12. Symbolic dynamics and topological models in dimensions 1 and 2, joint with T. Hall. In Topics in Dynamics and Ergodic Theory, LMS Lecture Notes 310, Cambridge University Press.
  13. Monotone quotients of surface diffeomorphisms, joint with M. Paternain, Math. Res. Lett. 10 (2004), 603–619.
  14. Conjugacies between horseshoe braids, joint with T. Hall, Nonlinearity 16 (2003) 4, 1329–1338.
  15. How to prune a horseshoe, joint with T. Hall. Invited Article, Nonlinearity 15 (2002) 3, R19–R68.
  16. Braid forcing and star-shaped train tracks, joint with T. Hall, Topology 43 (2004), 247–287.
  17. Extensions, quotients and generalized pseudo-Anosov maps, in Graphs and Patterns in Mathematics and Theoretical Physics, 315–338, Proc. Sympos. Pure Math. 73, Amer. Math. Soc., Providence, RI, 2005.
  18. Piecewise linear model for tree maps, joint M. Baillif, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 11 (2001) 12, 3163–3169.
  19. The forcing relation for horseshoe braid types, joint with T. Hall, Experiment. Math. 11 (2002) 2, 271–288.
  20. Pruning and Thurston’s classification of surface homeomorphisms, joint with T. Hall, J. Eur. Math. Soc. 3 (2001) 4, 287–333.
  21. Pruning fronts and the formation of horseshoes, Ergodic Theory Dynam. Systems 19 (1999) 4, 851–894.


Links

  • Dynamics Group at IME-USP
  • University of São Paulo
  • Institute of Mathematics and Statistics
 
Instituto de Matemática e Estatística
Universidade de São Paulo Rua do Matão, 1010 05508-090, São Paulo-SP, Brazil
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