Ricardo Mañé Ramirez (
Montevideo
Montevideo (, ; ) is the capital city, capital and List of cities in Uruguay, largest city of Uruguay. According to the 2023 census, the city proper has a population of 1,302,954 (about 37.2% of the country's total population) in an area of . M ...
, 14 January 1948 – Montevideo, 9 March 1995) was a Uruguayan mathematician, known for his contributions to
dynamical systems
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...
and
ergodic theory
Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, "statistical properties" refers to properties which are expressed through the behav ...
. He was a doctoral student of
Jacob Palis at
IMPA
is a high-fantasy video game series created by Japanese game designers Shigeru Miyamoto and Takashi Tezuka. It is primarily developed and published by Nintendo, although some portable installments have been outsourced to Capcom, Vanpool and ...
.
He was an invited speaker at the
International Congresses of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the IMU Abacus Medal (known before ...
of 1983 and 1994
[http://www2.profmat-sbm.org.br/sitesbm/socios_honorarios.asp ] and is a recipient of the 1994
TWAS Prize
This is a list of recipients of the TWAS Prize, awarded annually by The World Academy of Sciences (TWAS) since 1985.
Summary
Agricultural Sciences
Biology
Chemistry
Earth Sciences
Engineering Sciences
Mathematics ...
.
Selected publications
*
Expansive diffeomorphisms, Proceedings of the Symposium on Dynamical Systems (University of Warwick, 1974) ''Lecture Notes in Mathematics'' Vol. 468 pp. 162–174, Springer-Verlag, 1975.
*
Persistent manifolds are normally hyperbolic, ''
Transactions of the American Mathematical Society
The ''Transactions of the American Mathematical Society'' is a monthly peer-reviewed scientific journal of pure and applied mathematics published by the American Mathematical Society. It was established in 1900. As a requirement, all articles must ...
'', Vol. 246, (Dec., 1978), pp. 261–283.
*
On the dimension of the compact invariant sets of certain non-linear maps, Springer, ''Lectures Notes in Mathematics'' Vol. 898 (1981) 230–242.
*
An ergodic closing lemma, ''
Annals of Mathematics
The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study.
History
The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...
'' Second Series, Vol. 116, No. 3 (Nov., 1982), pp. 503–540.
* with P. Sad. and
D. Sullivan:
On the dynamics of rational maps, ''Annales Scientifiques l'École Normale Supérieure'', Vol. 16, Issue 2, pp. 193–217, 1983.
*
A proof of the C1 stability conjecture, ''
Publications Mathématiques de l'IHÉS
''Publications Mathématiques de l'IHÉS'' is a peer-reviewed mathematical journal. It is published by Springer Science+Business Media on behalf of the Institut des Hautes Études Scientifiques, with the help of the Centre National de la Recher ...
'', Vol. 66, pp. 161–210, 1987
*
On the topological entropy of geodesic flows. ''
Journal of Differential Geometry
The ''Journal of Differential Geometry'' is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year. The journal publishes an annual supplement in book ...
'', Vol. 45 (1997), no. 1, pp. 74–93.
* ''Ergodic Theory and Differentiable Dynamics'' (1987, translated from Portuguese into English by Silvio Levy)
* ''Selected Works'', Springer, 2017
References
{{DEFAULTSORT:Mane, Ricardo
1948 births
1995 deaths
20th-century Uruguayan mathematicians
Members of the Brazilian Academy of Sciences
Dynamical systems theorists
Instituto Nacional de Matemática Pura e Aplicada alumni
Instituto Nacional de Matemática Pura e Aplicada researchers
TWAS laureates