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Ricardo Mañé
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Name
Ricardo Mane
Ricardo Mañé Ramirez (Montevideo, 14 January 1948 – Montevideo, 9 March 1995) was a Uruguayan and Brazilian mathematician, known for his contributions to dynamical systems and ergodic theory. He was a doctoral student of Jacob Palis at IMPA.
He was an invited speaker at the International Congresses of Mathematicians of 1983 and 1994 and is a recipient of the 1994 TWAS Prize.
Selected publications
"Expansive diffeomorphisms", Proceedings of the Symposium on Dynamical Systems (University of Warwick, 1974) Lect. Notes in Math. Vol. 468 pp. 162–174, Springer-Verlag, 1975.
"Persistent manifolds are normally hyperbolic", Trans. Amer. Math. Soc., Vol. 246, (Dec., 1978), pp. 261–283.
"On the dimension of the compact invariant sets of certain non-linear maps", Springer, Lectures Notes in Math. Vol. 898 (1981) 230–242.
"An ergodic closing lemma", Annals of Mathematics Second Series, Vol. 116, No. 3 (Nov., 1982), pp. 503–540.
with P. Sad. and D. Sullivan: "On the dynamics of rational maps", Ann. Scient. l'Ecolc Normale Superíeure Vol. 16, Issue 2, pp. 193–217, 1983.
"A proof of the C1 stability conjecture", Publications Mathématiques de l'IHÉS, Vol. 66, pp. 161–210, 1987
"On the topological entropy of geodesic flows". Journal of Differential Geometry, Vol. 45 (1997), no. 1, pp. 74–93.
Ergodic Theory and Differentiable Dynamics (1987, translated from Portuguese into English by Silvio Levy)