Jacob Palis

Jacob Palis, Jr. (b. 15 March 1940 in Uberaba, Brazil) is a Brazilian mathematician of international recognition. Since 1973 he has held a permanent position as professor at Instituto Nacional de Matemática Pura e Aplicada in Rio de Janeiro, Brazil. He was director of the same institute from 1993 until 2003. He was Secretary-General of the Third World Academy of Sciences from 2004 to 2006, and elected its President in 2006 [http://www.ictp.trieste.it/~twas/publ/2006-09-04_Palis.html] .

He studied under Stephen Smale at University of California, Berkeley, and his 1968 thesis was entitled "On Morse-Smale Diffeomorphisms". Palis himself has advised more than forty Ph.D. students so far from more than ten countries.

Palis has received numerous medals and decoration. He is a foreign member of several academies of sciences, including the United States National Academy of Sciences and the French Academy of Sciences. In 2005 Palis was selected a member of the Legion of Honor.

His Erdös number is 3.

Research interests

Mainly dynamical systems and differential equations. Some themes are: Global stability and hyperbolicity, bifurcations, attractors and chaotic systems.

elected publications

# "On Morse-Smale Dynamical Systems", Topology 19, 1969 (385-405).
# "Structural Stability Theorems", with S. Smale, Proceedings of the Institute on Global Analysis, American Math. Society, Vol. XIV, 1970 (223-232).
# "Cycles and Bifurcations Theory", with S. Newhouse, Asterisque 31, Societe Mathematique de France, 1976 (44-140).
# "The Topology of Holomorphic Flows near a Singularity", with C. Camacho and N. Kuiper, Publications Math.Institut Hautes Etudes Scientifiques 48, 1978 (5-38).
# "Moduli of Stability and Bifurcation Theory", Proceedings of the International Congress of Mathematicians, Helsinki, 1978 (835-839).
# "Stability of Parameterized Families of Gradient Vector Fields", with F. Takens, Annals of Mathematics 118, 1983 (383-421).
# "Cycles and Measure of Bifurcation Sets for Two-Dimensional Diffeomorphisms", with F. Takens, Inventiones Mathematicae 82, 1985 (397-422).
# "Homoclinic Orbits, Hyperbolic Dynamic and Fractional Dimensions of Cantor Sets" (Lefschetz Centennial Conference) Contemporary Mathematics - American Mathematical Society, 58, 1987 (203-216).
# "Hyperbolicity and Creation of Homoclinic Orbits", with F.Takens, Annals of Mathematics 125, 1987 (337-374).
# "On the C1 Omega-Stability Conjecture, Publications Math. Institut Hautes Etudes Scientifiques, 66, 1988 (210-215).
# "Bifurcations and Global Stability of Two-Parameter Families of Gradient Vector Fields with M. J. Carneiro, Publications Math. Institut Hautes Etudes Scientifiques 70, 1990 (103-168).
# "Homoclinic Tangencies for Hyperbolic Sets of Large Hausdorff Dimension, with J.C. Yoccoz, Acta Mathematica 172, 1994 (91-136).
# "High Dimension Diffeomorphisms Displaying Infinitely Many Sinks", with M. Viana, Annals of Mathematics 140, 1994 (207 - 250).
# "A Global View of Dynamics and a Conjecture on the Denseness of Finitude of Attractors". Astérisque. França: , v.261, p.339 - 351, 2000.
# "Homoclinic tangencies and fractal invariants in arbitrary dimension", with C. Moreira and M. Viana, C R Ac Sc Paris., 2001.
# "Nonuniformily hyperbolic horseshoes unleashed by homoclinic bifurcations and zero density of attractors", with J.-C. Yoccoz, C R Ac Sc Paris., 2001.

Books published

# "Geometric Theory of Dynamical Systems", with W. de Melo. Springer-Verlag, 1982; also published in Portuguese, Russian and Chinese.
# "Hyperbolicity and Sensitive-Chaotic Dynamics at Homoclinic Bifurcations, Fractal Dimensions and Infinitely Many Attractors", with F. Takens. Cambridge Univ. Press, 1993; Second Edition, 1994.

External links

* [http://w3.impa.br/~jpalis/ Jacob Palis' homepage]

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