Jacob PALIS

Address:

Instituto Matemática Pura e Aplicada (IMPA)
Estrada Dona Castorina 110
Jardim Botanico
22460-320 Rio de Janeiro, RJ
Brazil

Phone: (55) 21-511 1749 or 21-529-5270
Fax: (55) 21-512 4112 or 21-512 4115
E-Mail: jpalis@impa.br or imu@impa.br

Born:

March 15, 1940, Uberaba, MG, Brazil

Education:

1962 Bachelor, Federal University of Rio de Janeiro
1966 Master, University of California, Berkeley
1967 Ph.D., University of California, Berkeley
1993 Post-Doctoral Fellowship, Guggenheim Foundation

Positions:

Permanent:
Professor at Instituto de Matemática Pura e Aplicada (IMPA),

Visiting:
1969 University of Warwick and Institut des Hautes Études Scientifiques, France
1973 University of California, Berkeley
1980 University of Warwick and Institut des Hautes Études Scientifiques
1982 Université de Dijon and École Polytechnique - Paris
1984 City University of New York, Mathematical Sciences Research Institute - Berkeley and Institute Mittag-Leffler
1987 Steklov Institute, Moscow and ETH-Zurich
1988 Universities of Nagoya, Tokyo and Kyoto
1990 ETH-Zurich, Universités de Dijon e Toulouse
1991 Universitá di Roma and Polytechnical Institute-Stockholm
1993 Université de Paris-Orsay and Université de Nice
1994 ETH-Zurich and Collčge de France

Selected Awards, Honours and Distinctions:

1973 Member of the Brazilian Academy of Sciences
1976 Prize Moinho Santista (highest Brazilian prize for science at the time)
1978 Invited Speaker, International Congress of Mathematicians, Helsinki
1988 Prize Third World Academy of Sciences - Mathematics
1990 National Prize for Science and Technology, Brazil
1991 Member of the Third World Academy of Sciences
1995 InterAmerican Prize for Science, Organisation of the American States

Research interests:

dynamical systems, differential equations

Themes:
Global stability and hyperbolicity bifurcations, attractors and chaotic systems: a global perspective

Students:
Ph.D. thesis adviser to 33 students from 10 different countries.

Selected Publications:

1. On Morse-Smale Dynamical Systems,
   Topology 19, 1969 (385-405).

2. Structural Stability Theorems, with S. Smale,
   Proceedings of the Institute on Global Analysis, American Math. Society, Vol. XIV, 1970 (223-232).

3. A Note on Omega-Stability,
   Proceedings of the Institute on Global Analysis, American Mathematical Society, Vol. XIV, 1970 (220-222).

4. Cycles and Bifurcations Theory, with S. Newhouse,
   Asterisque 31, Societe Mathematique de France, 1976 (44-140).

5. The Topology of Holomorphic Flows near a Singularity, with C.Camacho and N. Kuiper,
   Publications Math.Institut Hautes Etudes Scientifiques 48, 1978 (5-38).

6. Moduli of Stability and Bifurcation Theory,
   Proceedings of the International Congress of Mathematicians, Helsinki, 1978 (835-839).

7. Stability of Parameterized Families of Gradient Vector Fields, with F. Takens,
   Annals of Mathematics 118, 1983 (383-421).

8. Cycles and Measure of Bifurcation Sets for Two-Dimensional Diffeomorphisms, with F. Takens,
   Inventiones Mathematicae 82, 1985 (397-422).

9. Homoclinic Orbits, Hyperbolic Dynamic and Fractional Dimensions of Cantor Sets (Lefschetz Centennial Conference)
   Contemporary Mathematics - American Mathematical Society, 58, 1987 (203-216).

10. Hyperbolicity and Creation of Homoclinic Orbits, with F.Takens,
    Annals of Mathematics 125, 1987 (337-374).

11. On the C1 Omega-Stability Conjecture,
    Publications Math. Institut Hautes Etudes Scientifiques, 66, 1988 (210-215).

12. 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).

13. A Glimpse at Dynamical Systems: the Long Trajectory from the Sixties to Present Developments,
    Prize Speech at the Third World Academy of Sciences, Proceedings of the TWAS, 1992.

14. On the Contribution of Smale to Dynamical Systems,
    volume in honour of Stephen Smale, Springer-Verlag, 1993.

15. Homoclinic Tangencies for Hyperbolic Sets of Large Hausdorff Dimension, with J.C. Yoccoz,
    Acta Mathematica 172, 1994 (91-136)

16. High Dimension Diffeomorphisms Displaying Infinitely Many Sinks, with M. Viana,
    Annals of Mathematics 140, 1994 (207 - 250).

Books:

1. Geometric Theory of Dynamical Systems, with W. de Melo
   Springer-Verlag, 1982; translated into Russian and Chinese

2. Hyperbolicity and Sensitive-Chaotic Dynamics and Homoclinic Bifurcations, Fractal Dimensions and Infinitely Many Attractors, with F. Takens
   Cambridge Univ. Press, 1993; Second Edition, 1994.