Ricardo Mañé Ramírez, Uruguayan / Brazilian mathematician (Montevideo 14 January 1948 –Montevideo 09 March 1995)World leader on dynamical systems Authored 51
works with 1,333 citations His book Introdução de teoria ergódica (Ergodic theory and differentiable dynamics) was translated into English language (1987) Showed that normal hiperbolicity is required for persistence of invariant manifolds (1974) Defined quasi-Anosov diffeomorphisms Proved that the interior in the C Proved that a compact metric space exhibiting expansive homeomorphisms must be finite dimensional and every minimal set of such homeomorphisms is zero dimensional (1979)
With Paulo Sad & Sullivan the concept of holomorphic motion of a closed planar set (1983) Notion of critical value independently from other authors Notion of generic Lagrangian function Concept of ergodic closing lemma Proved the
stability conjecture for C1 class diffeomorphisms (1988)
Mañé theorem Mañé-Mather set Bochi-Mañé theorem Holder-Mañé theorem Mañé potential Mañé supercritical hypersurfaces Mañé conjecture Araujo-Mañé theorem Takens-Mañé theorem Mañé ergodic closing lemma Mañé-Sad-Sullivan theorem Mañé-Conze-Guivarc’h lemma Mañé critical values Aubry-Mañé sets Mañé hyperbolicity theorem Mañé projection Mañé-Lyubich measure Bowen-Mañé phenomenon Mañé genericity theorem
Two-time invited lecturer at International Congress of Mathematicians (1983 & 1994) |

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