| 1- | Structural Stability of Diffeomorphisms on two-manifolds..
Inventiones Mathematicae 21, 1973, pp.233-246 |
| 2- | Stability and Optimization of Several Functions.
Topology 15, 1976, pp. 1-12 |
| 3- | On the Connected Components of Morse-Smale Vector Fields on two manifolds.
Proceedings Symp. Geometry and Topology Springer Lectures Notes 597, 1977, pp. 230-251 With C. Gutierrez |
| 4- | On Linear's Equation.
Proceedings Symp. Geometry and Topology Springer Lectures Notes 597, 1977, pp. 335-357 With A.Lins Neto & C.Pugh |
| 5- | Accessibility of an Optimum.
Proceedings Symp. Geometry and Topology Springer Lecture Notes 597, 1977, pp.429-440 |
| 6- | On the Structures of the Pareto Set.
Bull. of the Braz. Math. Soc. 7, no 2. 1976, pp. 121-126 |
| 7- | Moduli of Stability of Two-dimensional diffeomorphisms.
Topology 19, vol. 1, 1980, pp. 9-21 |
| 8- | Moduli of Stability for diffeomorphisms.
Proc. Symp. Dynamical Systems Northwestern Springer Lectures Notes 819, 1980, pp. 318-319 With J. Palis |
| 9- | Characterizing Diffeomorphisms with Modulus of Stability One.
Proc. Symp. Dynamical Systems and Turbulence - Warwick, 1980 Springer Lectures Notes 818, 1981, pp. 266-285 With J. Palis & V. Strien |
| 10- | Equivariant Diffeomorphisms with Simple Recurrence on
Two-manifolds.
Trans. Amer. Math. Soc. vol. 289, n. 12, 1985, pp. 793-807 With G.L. Reis & P. Mendes. |
| 11- | A Type of Moduli for Sadle Connections of Planar
Diffeomorphisms.
J. Diff. Eq., vol. 75, n. 11, 1988, pp. 88-102 With F. Dumortier |
| 12- | Diffeomorphisms on Surfaces with Finite Number of Moduli.
Ergod. Th. \& Dynam. Syst. (1987) vol. 7, pp. 415-462 With S.V. Strien |
| 13- | A Finiteness Problem for One Dimensional Maps.
Proc. AMS, 101 (4), 1987, pp. 721-727 |
| 14- | One Dimensional Dynamics: The Schwarzian Derivatives and Beyond.
Bull. AMS., vol. 18, no. 2, 1988, pp. 159-162 With S.V. Strien |
| 15- | A Structure Theorem in One Dimensional Dynamics.
Annals of Mathematics, vol. 129, 1989, pp. 519-546 With S.V. Strien |
| 16- | On Cherry Flows.
Erg. Th. Dyn. Sys., vol. 10, 1990, pp. 531-554 With J. Palis & V. Strien |
| 17- | Julia-Fatou-Sullivan Theory for Real One-Dimensional
Dynamics.
Acta Math., 168 (1992), 273-318 With M. Martens & S.V. Strien |
| 18- | On The C¹-Brunovske Hypothesis.
J. Diff Equations 113, n. 2, 1994, pp. 300-337 With C.C. Pugh |
| 19- | Full Families of Circle Endomorphisms.
Proc. Conf. Dynamical Systems and Chaos, Tokyo 1994, ed. N. Aoki, K. Shiraiwa , Y. Takahashi. World Schientific, 1995, pp. 25-27. |
| 20- | The Cost of Computing Integers.
Proc. Am. Math. Soc. vol. 124, no. 5, 1996, pp. 1377-1378 With B.F. Svaiter |
| 21- | On the Cyclicity of Recurrent Flows on Surfaces.
Nonlinearity, 10 (1997) no. 2, 311--319 |
| 22- | Universal Models for Lorenz Maps.
With M. Martens Preprint IMPA. SUNY StonyBrook Preprint 1996/12 Erg.Th. and Dyn. Sys. 21 (2000) bo.2, 343--370 |
| 23- | Rigidity of critical circle mappings I
J.Eur.Math.Soc., 1, 1999, no 4, 339--392 With E. de Faria |
| 24- | Rigidity of critical circle mappings II
With E. de Faria J.Am.Math. Soc. 13., no. 2., 2000, 343--370 |
| 25- | The Multipliers of Periodic Point in One-Dimensional Dynamics
With M. Martens Nonlinearity 12 ( 1999) no. 2, 217---227 |
| 26- | Rigidity and Renormalization in One Dimensional Dynamical Systems
Proc. Int. Congr. Mathematicians, Berlim, 1998, Documenta Mathematica, Extra Volume ICM 98, Vol. II 765--778 Preprint IMPA. |
| 27- | Rigidity of C2 infinitely renormalizable unimodal maps
Comm. Math. Phys. 208 (1999) 91--105 With A. A. Pinto |
| 28- | On the Dynamics of the Renormalization Operator
( postcript) Preprint IMPA. With A. Avila and M. Martens Global Analysis on Dynamical Systems, pp. 449--460 Ed. H. Broer, B. Krauskopf, G. Vegter IOP Publishing Ltd. (2001) |
| 30- | Regular or stochastic dynamics in real analytic families of
unimodal maps
With A. Avila and M. Lyubich Inventiones Mathematicae, n.3, v. 154, 2003, 451--550 PS file (final version) IMPA. |
| 29- | Global Hyperbolicity of Renormalization for $C^r$ Unimodal Mappings
With E. de Faria and A. A. Pinto (gzipped postscript) |
| 1- | Introdução aos Sistemas Dinâmicos.
Edgar Blucher, With J. Palis |
| 2- | Geometric Theory of Dynamical Systems.
Springer-Verlag, 1980. With J.Palis |
| 3- | Lectures on One-Dimensional Dynamics.
Publ. do 17º Colóquio Brasileiro de Matemática, 1988 |
| 4- | One Dimensional Dynamics.
Springer-Verlag, 1993 With S. Van Strien |
| 5- | One-dimensional dynamics. The mathematical tools.
IMPA's Mathematical Publications, 23rd Brazilian Mathematics Colloquium, Instituto de Matematica Pura e Aplicada (IMPA), (2001) With E. de Faria |
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Last Update: Mar. 1996
