Jacob Palis

Jacob Palis, Jr. (born March 15, 1940 in Uberaba , Minas Gerais ) is a Brazilian mathematician and university professor .

biography

After attending school, he studied at the University of California, Berkeley and received a Philosophiae Doctor ( Ph.D. ) from Stephen Smale in 1968 with a dissertation on On Morse-Smale Diffeomorphisms . After returning to Brazil in 1973 he became a professor at the National Institute for Pure and Applied Mathematics ( Instituto Nacional de Matemática Pura e Aplicada ) in Rio de Janeiro , of which he was director from 1993 to 2003. As a university professor, he was also the doctoral supervisor of more than forty doctoral students . As a scientist he dealt in particular with questions of dynamic systems , differential equations , metastability, bifurcation , attractors and chaos research .

Between 1999 and 2002 he was also President of the International Mathematical Union . He then became General Secretary in 2004 and finally President of the Academy of Sciences for the Developing World , the former Third World Academy of Sciences (TWAS) in 2006 .

He has received several awards for his scientific achievements and is not only a member of the National Academy of Sciences , the Académie des Sciences , the Russian Academy of Sciences , the Norwegian Academy of Sciences and the Leopoldina , but has also been a Knight of the Legion of Honor since 2005 . He has also received awards from the Universities of Brazil (1962), Moinho Santista (1976), TWAS (1994) and the Inter-American Science Award (1994). In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( Moduli of stability and bifurcation theory ). In 2003/04 he was on the first Abel Prize Committee .

In September 2010 Palis was honored with the Balzan Prize “for his fundamental contributions in the field of the mathematical theory of dynamic systems” . The award statement also stated that “in the course of his career he has made decisive contributions to the theory of differential equations and dynamic systems, which were the basis for numerous applications in a wide variety of scientific disciplines. Since research into chemical oscillators and Paul Schuster's analyzes of models of prebiotic evolution , the theory of dynamic systems has also been applied in chemistry. "

His PhD students include Welington de Melo , Marcelo Viana , Enrique Pujals and Ricardo Mañé .

Publications

Palis, whose Erdős number is "3", published numerous technical articles and specialist books in the course of his academic career.

Technical articles

On Morse-Smale Dynamical Systems , Topology 19, 1969, pp. 385-405.
with Stephen Smale Structural Stability Theorems , Proceedings of the Institute on Global Analysis, American Math. Society, Vol. XIV, 1970, pp. 223-232.
with Sheldon Newhouse Cycles and Bifurcations Theory , Asterisque 31, Societe Mathematique de France, 1976, pp. 44-140.
with C. Camacho, Nicolaas Kuiper : The Topology of Holomorphic Flows near a Singularity , Publications Math. Institute Hautes Etudes Scientifiques 48, 1978, 5-38.
Moduli of Stability and Bifurcation Theory , Proceedings of the International Congress of Mathematicians, Helsinki, 1978, pp. 835-839.
with Floris Takens Stability of Parameterized Families of Gradient Vector Fields , Annals of Mathematics 118, 1983, pp. 383-421.
with Takens Cycles and Measure of Bifurcation Sets for Two-Dimensional Diffeomorphisms , Inventiones Mathematicae 82, 1985, pp. 397-422.
Homoclinic Orbits, Hyperbolic Dynamic and Fractional Dimensions of Cantor Sets , (Lefschetz Centennial Conference) Contemporary Mathematics - American Mathematical Society, 58, 1987, pp. 203-216.
with Takens Hyperbolicity and Creation of Homoclinic Orbits , Annals of Mathematics 125, 1987, pp. 337-374.
On the C1 Omega-Stability Conjecture , Publications Math. Institut Hautes Etudes Scientifiques, 66, 1988, pp. 210-215.
with MJ Carneiro Bifurcations and Global Stability of Two-Parameter Families of Gradient Vector Fields , Publications Math. Institut Hautes Etudes Scientifiques 70, 1990, pp. 103-168.
with Jean-Christophe Yoccoz Homoclinic Tangencies for Hyperbolic Sets of Large Hausdorff Dimension , Acta Mathematica 172, 1994, pp. 91-136
with Marcelo Viana High Dimension Diffeomorphisms Displaying Infinitely Many Sinks , Annals of Mathematics 140, 1994, pp. 207-250
A Global View of Dynamics and a Conjecture on the Denseness of Finitude of Attractors , Astérisque, Volume 261, 2000, pp. 339-351
with C. Moreira, M. Viana Homoclinic tangencies and fractal invariants in arbitrary dimension , CR Ac Sc Paris., 2001.
with Yoccoz Nonuniformily hyperbolic horseshoes unleashed by homoclinic bifurcations and zero density of attractors , CR Ac Sc Paris., 2001.
with Yoccoz: Non-uniformily hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles , Pub. Math. IHES, Vol. 110, 2009, pp. 1-217

Reference books

with W. de Melo Geometric Theory of Dynamical Systems , Springer-Verlag, 1982.
with Takens Hyperbolicity and Sensitive-Chaotic Dynamics at Homoclinic Bifurcations, Fractal Dimensions and Infinitely Many Attractors , Cambridge University Press, 1993; Second edition, 1994.

Web links

Individual evidence

personal data
SURNAME	Palis, Jacob
ALTERNATIVE NAMES	Palis, Jacob Jr .; Palis Júnior, Jacob
BRIEF DESCRIPTION	Brazilian mathematician
DATE OF BIRTH	March 15, 1940
PLACE OF BIRTH	Uberaba , Minas Gerais

[1] Jacob Palis, Jr. in the Mathematics Genealogy Project (English)

[2] Abel Committee

[3] OSTSEE-ZEITUNG: 2010 Balzan Prize for Manfred Brauneck (September 6, 2010) ( Memento from January 5, 2013 in the web archive archive.today )

[4] SCHWÄBISCHE ZEITUNG: 2010 Balzan Prize for Manfred Brauneck (September 6, 2010)

[5] THE EUROPEAN MATHEMATICAL SOCIETY: Balzan Prize for Mathematics goes to Jacob Palis (September 6, 2010) ( Memento of February 3, 2011 in the Internet Archive )

[6] CHEMICAL REPORT: 2010 Balzan Prizes for Shinya Yamanaka and Jacob Palis (September 8, 2010)

[7] Mathematics Genealogy Project