Jacob Palis Jr., Brazilian mathematician (Uberaba, Minas Gerais State 15 March 1940 – From
Greek-Lebanese father and Syrian mother Authored over 80 papers Respected
as one of founders of modern theory of dynamical systems and one of world’s
foremost in field of multivariable dynamic systems First to prove mathematical stable systems occur in any configuration space Proved that gradient-like dynamical systems in lower dimensions are stable providing the first class of stable systems existing on any smooth configuration space Established the opening and structure stability of Morse-Smale systems Demonstrated the existence of structurally stable dynamics systems in all 3-dimension compact varieties Demonstrated the existence of dynamical cycles in non-wandering sets of dynamic systems Demonstrated the tubular families technique Showed that homoclinic bifurcations gave birth to a variety of dynamics complex changes and formulated a series of conjectures proposing that such mechanisms occur in global instabilities of dynamics Suggested that homoclinic bifurcations are a main mechanism for the nonhiperbolicity of a system Formulated a series of conjectures in which homoclinic bifurcations are the key mechanism underlying global instabilities of the dynamical behavior Formulated a series of conjectures describing the orbiting behavior of most typical systems With M. Viana introduced the notion of intrinsic differentiability and showed continuity of the Hausdorff dimension in the surfaces Proved C1-stability conjecture (1987) With J.C. Yoccoz proposed a theorem on the triviality of centralizers of diffeomorphisms and proved that the majority of centralizers for hyperbolic dynamical systems admit only trivial smooth symmetries Revealed the fundamental role played by fractal dimensions in connection with the frequency of dynamical bifurcations Formulated a conjecture relating the structure of the arithmetic difference of fractal sets to their fractal dimensions (solved by Moreira and Yoccoz) Introduced the use of certain smooth invariants for topological equivalence of dynamical systems With F. Takens proved that most parametrized families of gradient-like vector fields are stable Created the
notion of stable foliations EPONYMY Palis conjecture (1980s) Palis-Smale theorem Palis-Smale stability conjectures Malta-Palis theorem Palis lambda lemma Hirsch-Palis-Pugh-Shub theorem Palis invariant Palis
program HONOURS Invited Speaker, International Congress of Mathematics, Helsinki (1978) President, International Mathematical Union (1999-2002) Associate Foreign Member, National Academy of Sciences (2001) & Academie Française des Sciences (2002) International Prize in Mathematics, Academia Nazionale dei Lincei (2008) Balzan Prize for Mathematics (2010) Solomon
Lefschetz Medal, Mathematical Congress of the Americas (2013) LINKS |
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