Jacob PALIS

    Address:

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

    Phone: (55) 21-2511 1749 or 21-2529-5270
    Fax: (55) 21-2512 4112 or 21-2512 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 - Stockholm
    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 Collège de France
    1995 Université de Paris-Orsay, ETH-Zurich, ICTP-Trieste
    1996 Université de Paris VII, Univ. of Peking
    1997 New York University at Stony Brook, Université de Paris, Orsay
    1998 Universitá di Roma, Polytechnical Institute-Stockholm
    1999 Collège de France, Princeton University
    2000 Int. Advanced Study-Princeton, University of Warwick
    2001 Collège de France, ETH-Zurich, Scuola Normale Superiore di Pisa
    2002 Collège de France, Scuola Normale Superiore di Pisa

    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
    1997 Doctor Honoris Causa, Universidad de Chile
    1998 Medal Lecture, Third World Academy of Sciences
    2000 Doctor Honoris Causa, Universidad de Santiago
    2000 Doctor Honoris Causa, University of Warwick
    2000 Member, Mexican Academy of Sciences
    2000 Prize Mexico of Science and Technology 2000
    2001 Foreign Member, United States Nacional Academy of Sciences
    2001 Doctor Honoris Causa, Universidad de la Habana
    2002 Member of the French Academy of Sciences

    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 38 students from 11 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. Cycles and Bifurcations Theory, with S. Newhouse,
      Asterisque 31, Societe Mathematique de France, 1976 (44-140).

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

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

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

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

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

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

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

    11. 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).

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

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

    14. A Global View of Dynamics and a Conjecture on the Denseness of Finitude of Attractors.
      Astérisque. França: , v.261, p.339 - 351, 2000.

    15. Homoclinic tangencies and fractal invariants in arbitrary dimension, with C. Moreira and M. Viana,
      C R Ac Sc Paris. , 2001.

    16. Nonuniformily hyperbolic horseshoes unleashed by homoclinic bifurcations and zero density of attractors, with J.-C. Yoccoz,
      C R Ac Sc Paris. , 2001.

    Books:

    1. Geometric Theory of Dynamical Systems, with W. de Melo
      Springer-Verlag, 1982; also published in Portuguese, Russian and Chinese

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