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## Mañé, Ricardo

Compute Distance To:
 Author ID: mane.ricardo Published as: Mañé, Ricardo; Mane, Ricardo; Mañé, R.; Mane, R.; Mañe, Ricardo; Mañe, R. External Links: MGP · Wikidata · GND
 Documents Indexed: 53 Publications since 1972, including 4 Books Biographic References: 8 Publications
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#### Co-Authors

 45 single-authored 2 Freire, Alexandre 1 Bamón, Rodrigo 1 Camacho, César 1 Da Rocha, Luiz Fernando C. 1 Doering, Claus I. 1 Krych, Michal 1 Labarca, Rafael 1 Lopes, Artur Oscar 1 Nitecki, Zbigniew H. 1 Pacífico, José 1 Pugh, Charles Chapman 1 Sad, Paulo Roberto 1 Sullivan, Dennis Parnell
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#### Serials

 4 Boletim da Sociedade Brasileira de Matemática 4 Inventiones Mathematicae 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Publications Mathématiques 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 2 Communications in Mathematical Physics 2 Nonlinearity 2 Proceedings of the American Mathematical Society 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Differential Geometry 1 Topology 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Projeto Euclides 1 Ensaios Matemáticos
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#### Fields

 46 Dynamical systems and ergodic theory (37-XX) 13 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Ordinary differential equations (34-XX) 7 General topology (54-XX) 5 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 1,526 times in 1,278 Documents Cited by Year
On the dynamics of rational maps. Zbl 0524.58025
Mane, R.; Sad, P.; Sullivan, D.
1983
An ergodic closing lemma. Zbl 0511.58029
Mane, Ricardo
1982
Ergodic theory and differentiable dynamics. Transl. from the Portuguese by Silvio Levy. Zbl 0616.28007
Mañé, Ricardo
1987
Contributions to the stability conjecture. Zbl 0405.58035
Mañé, Ricardo
1978
Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037
Mañé, Ricardo
1996
A proof of the $$C^ 1$$ stability conjecture. Zbl 0678.58022
Mañé, Ricardo
1988
An invariant measure for rational maps. Zbl 0568.58027
Freire, Alexandre; Lopes, Artur; Mañe, Ricardo
1983
Hyperbolicity, sinks and measure in one dimensional dynamics. Zbl 0583.58016
Mañé, Ricardo
1985
Lagrangian flows: the dynamics of globally minimizing orbits. Zbl 0892.58064
Mañé, Ricardo
1997
Expansive homeomorphisms and topological dimension. Zbl 0362.54036
Mane, Ricardo
1979
On a theorem of Fatou. Zbl 0781.30023
Mañé, Ricardo
1993
A proof of Pesin’s formula. Zbl 0489.58018
Mane, Ricardo
1981
Quasi-Anosov diffeomorphisms and hyperbolic manifolds. Zbl 0356.58009
Mane, Ricardo
1977
On the minimizing measures of Lagrangian dynamical systems. Zbl 0799.58030
Mañé, Ricardo
1992
On the uniqueness of the maximizing measure for rational maps. Zbl 0568.58028
Mañé, Ricardo
1983
The Hausdorff dimension of horseshoes of diffeomorphisms of surfaces. Zbl 0723.58029
Mañé, Ricardo
1990
On the entropy of the geodesic flow in manifolds without conjugate points. Zbl 0476.58019
Freire, A.; Mañé, R.
1982
Persistent manifolds are normally hyperbolic. Zbl 0362.58014
Mane, Ricardo
1978
The explosion of singular cycles. Zbl 0801.58010
Bamón, Rodrigo; Labarca, Rafael; Mañé, Ricardo; Pacífico, José
1993
Julia sets are uniformly perfect. Zbl 0763.30010
Mañé, R.; Da Rocha, L. F.
1992
Erratum. Hyperbolicity, sinks and measure in one dimensional dynamics. Zbl 0628.58032
Mañé, Ricardo
1987
On the topological entropy of geodesic flows. Zbl 0896.58052
Mañé, Ricardo
1997
Persistent manifolds are normally hyperbolic. Zbl 0276.58009
Mane, Ricardo
1974
Expansive diffeomorphisms. Zbl 0309.58016
Mane, Ricardo
1975
On the creation of homoclinic points. Zbl 0669.58024
Mañé, Ricardo
1988
The Lyapunov exponents of generic area preserving diffeomorphisms. Zbl 0870.58083
Mañé, Ricardo
1996
On a theorem of Klingenberg. Zbl 0633.58022
Mañé, R.
1987
Introduction to ergodic theory. (Introdução à teoria ergódica). Zbl 0581.28010
Mañé, Ricardo
1983
On the dimension of the compact invariant sets of certain non-linear maps. Zbl 0544.58014
Mañé, Ricardo
1981
Oseledec’s theorem from the generic viewpoint. Zbl 0584.58007
Mañé, Ricardo
1984
Lagrangian flows: The dynamics of globally minimizing orbits. Zbl 0870.58026
Mañé, Ricardo
1996
The Hausdorff dimension of invariant probabilities of rational maps. Zbl 0658.58015
Mañé, Ricardo
1988
On the Bernoulli property for rational maps. Zbl 0605.28011
Mañé, Ricardo
1985
Orbits of paths under hyperbolic toral automorphisms. Zbl 0368.58009
Mane, Ricardo
1979
Invariant sets of Anosov’s diffeomorphisms. Zbl 0363.58009
Mane, Ricardo
1978
On the instability of Herman rings. Zbl 0595.30032
Mañé, Ricardo
1985
Stability of endomorphisms. Zbl 0315.58018
Mane, Ricardo; Pugh, Charles
1975
Lyapunov exponents and stable manifolds for compact transformations. Zbl 0522.58030
Mane, Ricardo
1983
Absolute and infinitesimal stability. Zbl 0314.58009
Mane, R.
1975
A note on first integrals of vector fields and endomorphisms. Zbl 0339.58011
Mane, Ricardo
1972
Errata to ’A proof of Pesin’s formula’. Zbl 0522.58031
Mane, R.
1983
Reduction of semilinear parabolic equations to finite dimensional $$C^ 1$$ flows. Zbl 0412.35049
Mane, Ricardo
1977
The dynamics of inner functions. Zbl 1202.30077
Doering, Claus I.; Mañé, Ricardo
1991
Hyperbolic sets for semilinear parabolic equations. Zbl 0381.35048
Mane, Ricardo
1975
An extension of Peixoto’s structural stability theorem to open surfaces with finite genus. Zbl 0537.58031
Camacho, C.; Krych, M.; Mañe, R.; Nitecki, Zbigniew
1983
Absolute stability and bifurcation theory. Zbl 0411.58015
Mane, Ricardo
1979
On Ricardo Mañé (1948–1995). Zbl 0882.01018
Mañé, Ricardo
1997
Characterizations of AS diffeomorphisms. Zbl 0359.58011
Mane, Ricardo
1977
Lagrangian flows: the dynamics of globally minimizing orbits. Zbl 0892.58064
Mañé, Ricardo
1997
On the topological entropy of geodesic flows. Zbl 0896.58052
Mañé, Ricardo
1997
On Ricardo Mañé (1948–1995). Zbl 0882.01018
Mañé, Ricardo
1997
Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037
Mañé, Ricardo
1996
The Lyapunov exponents of generic area preserving diffeomorphisms. Zbl 0870.58083
Mañé, Ricardo
1996
Lagrangian flows: The dynamics of globally minimizing orbits. Zbl 0870.58026
Mañé, Ricardo
1996
On a theorem of Fatou. Zbl 0781.30023
Mañé, Ricardo
1993
The explosion of singular cycles. Zbl 0801.58010
Bamón, Rodrigo; Labarca, Rafael; Mañé, Ricardo; Pacífico, José
1993
On the minimizing measures of Lagrangian dynamical systems. Zbl 0799.58030
Mañé, Ricardo
1992
Julia sets are uniformly perfect. Zbl 0763.30010
Mañé, R.; Da Rocha, L. F.
1992
The dynamics of inner functions. Zbl 1202.30077
Doering, Claus I.; Mañé, Ricardo
1991
The Hausdorff dimension of horseshoes of diffeomorphisms of surfaces. Zbl 0723.58029
Mañé, Ricardo
1990
A proof of the $$C^ 1$$ stability conjecture. Zbl 0678.58022
Mañé, Ricardo
1988
On the creation of homoclinic points. Zbl 0669.58024
Mañé, Ricardo
1988
The Hausdorff dimension of invariant probabilities of rational maps. Zbl 0658.58015
Mañé, Ricardo
1988
Ergodic theory and differentiable dynamics. Transl. from the Portuguese by Silvio Levy. Zbl 0616.28007
Mañé, Ricardo
1987
Erratum. Hyperbolicity, sinks and measure in one dimensional dynamics. Zbl 0628.58032
Mañé, Ricardo
1987
On a theorem of Klingenberg. Zbl 0633.58022
Mañé, R.
1987
Hyperbolicity, sinks and measure in one dimensional dynamics. Zbl 0583.58016
Mañé, Ricardo
1985
On the Bernoulli property for rational maps. Zbl 0605.28011
Mañé, Ricardo
1985
On the instability of Herman rings. Zbl 0595.30032
Mañé, Ricardo
1985
Oseledec’s theorem from the generic viewpoint. Zbl 0584.58007
Mañé, Ricardo
1984
On the dynamics of rational maps. Zbl 0524.58025
Mane, R.; Sad, P.; Sullivan, D.
1983
An invariant measure for rational maps. Zbl 0568.58027
Freire, Alexandre; Lopes, Artur; Mañe, Ricardo
1983
On the uniqueness of the maximizing measure for rational maps. Zbl 0568.58028
Mañé, Ricardo
1983
Introduction to ergodic theory. (Introdução à teoria ergódica). Zbl 0581.28010
Mañé, Ricardo
1983
Lyapunov exponents and stable manifolds for compact transformations. Zbl 0522.58030
Mane, Ricardo
1983
Errata to ’A proof of Pesin’s formula’. Zbl 0522.58031
Mane, R.
1983
An extension of Peixoto’s structural stability theorem to open surfaces with finite genus. Zbl 0537.58031
Camacho, C.; Krych, M.; Mañe, R.; Nitecki, Zbigniew
1983
An ergodic closing lemma. Zbl 0511.58029
Mane, Ricardo
1982
On the entropy of the geodesic flow in manifolds without conjugate points. Zbl 0476.58019
Freire, A.; Mañé, R.
1982
A proof of Pesin’s formula. Zbl 0489.58018
Mane, Ricardo
1981
On the dimension of the compact invariant sets of certain non-linear maps. Zbl 0544.58014
Mañé, Ricardo
1981
Expansive homeomorphisms and topological dimension. Zbl 0362.54036
Mane, Ricardo
1979
Orbits of paths under hyperbolic toral automorphisms. Zbl 0368.58009
Mane, Ricardo
1979
Absolute stability and bifurcation theory. Zbl 0411.58015
Mane, Ricardo
1979
Contributions to the stability conjecture. Zbl 0405.58035
Mañé, Ricardo
1978
Persistent manifolds are normally hyperbolic. Zbl 0362.58014
Mane, Ricardo
1978
Invariant sets of Anosov’s diffeomorphisms. Zbl 0363.58009
Mane, Ricardo
1978
Quasi-Anosov diffeomorphisms and hyperbolic manifolds. Zbl 0356.58009
Mane, Ricardo
1977
Reduction of semilinear parabolic equations to finite dimensional $$C^ 1$$ flows. Zbl 0412.35049
Mane, Ricardo
1977
Characterizations of AS diffeomorphisms. Zbl 0359.58011
Mane, Ricardo
1977
Expansive diffeomorphisms. Zbl 0309.58016
Mane, Ricardo
1975
Stability of endomorphisms. Zbl 0315.58018
Mane, Ricardo; Pugh, Charles
1975
Absolute and infinitesimal stability. Zbl 0314.58009
Mane, R.
1975
Hyperbolic sets for semilinear parabolic equations. Zbl 0381.35048
Mane, Ricardo
1975
Persistent manifolds are normally hyperbolic. Zbl 0276.58009
Mane, Ricardo
1974
A note on first integrals of vector fields and endomorphisms. Zbl 0339.58011
Mane, Ricardo
1972
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#### Cited by 1,085 Authors

 31 Lee, Manseob 22 Lopes, Artur Oscar 18 Bonatti, Christian 15 Varandas, Paulo 14 Crovisier, Sylvain 14 Morales, Carlos Arnoldo 13 Araújo, Vítor 13 Gan, Shaobo 12 Viana, Marcelo 11 Arbieto, Alexander 11 Bessa, Mário 11 Blokh, Alexander M. 11 Przytycki, Feliks 11 van Strien, Sebastian J. 10 Artigue, Alfonso 10 Contreras, Gonzalo 10 Lyubich, Mikhail Yur’evich 10 Oversteegen, Lex G. 10 Pacifico, Maria José 10 Pujals, Enrique Ramiro 10 Rivera-Letelier, Juan 10 Sakai, Kazuhiro 10 Wen, Lan 10 Yang, Dawei 10 Yang, Jiagang 9 Bernard, Patrick 9 Díaz, Lorenzo Justiniano 9 Gomes, Diogo Luís Aguiar 9 Kato, Hisao 9 Okuyama, Yûsuke 9 Wen, Xiao 8 Arnaud, Marie-Claude 8 Berger, Pierre 8 Cheng, Chong-Qing 8 Cheng, Wei 8 Grines, Vyacheslav Zigmundovich 8 Hawkins, Jane M. 8 Iturriaga, Renato 8 Mañé, Ricardo 8 Rodriguez-Hertz, Federico 8 Ures, Raúl 8 Wang, Kaizhi 7 de la Llave, Rafael 7 Fakhari, Abbas 7 Hayashi, Shuhei 7 Jiang, Yunping 7 Labarca, Rafael 7 Liang, Chao 7 Martin, Gaven J. 7 Mitake, Hiroyoshi 7 Paternain, Gabriel Pedro 7 Potrie, Rafael 7 Rifford, Ludovic 7 Rodriguez Hertz, Jana 7 Shen, Weixiao 7 Yan, Jun 6 Avila Cordeiro de Melo, Artur 6 Berteloot, François 6 Carvalho, Bernardo 6 Dai, Xiongping 6 Damanik, David 6 DeMarco, Laura Grace 6 Gelfert, Katrin Grit 6 Lee, Keonhee 6 Luzzatto, Stefano 6 Makienko, Peter M. 6 Massart, Daniel 6 Palis, Jacob jun. 6 Pochinka, Olga Vital’evna 6 Rocha, Jorge 6 Rovella, Alvaro 6 Sumi, Naoya 6 Thieullen, Philippe 6 Tien Cuong Dinh 6 Tran Vinh Hung 6 Urbański, Mariusz 6 Vieitez, José L. 6 Yin, Yongcheng 6 Young, Lai-Sang 5 Alves, José Ferreira 5 Aoki, Nobuo 5 Bedford, Eric 5 Bochi, Jairo 5 Bruin, Henk 5 Cao, Yongluo 5 Castro, Armando 5 Chéritat, Arnaud 5 Cordeiro, Welington 5 Cui, Xiaojun 5 Da Luz, Adriana 5 Dujardin, Romain 5 Fagella, Núria 5 Fisher, Todd L. 5 Gauthier, Thomas 5 Gorodetskii, Anton Semenovich 5 Gourmelon, Nicolas 5 Pesin, Yakov Borisovich 5 Rempe-Gillen, Lasse 5 Sambarino, Martín 5 San Martín Rebolledo, Bernardo ...and 985 more Authors
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#### Cited in 213 Serials

 109 Ergodic Theory and Dynamical Systems 84 Transactions of the American Mathematical Society 57 Proceedings of the American Mathematical Society 49 Communications in Mathematical Physics 48 Journal of Differential Equations 40 Discrete and Continuous Dynamical Systems 34 Inventiones Mathematicae 30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 26 Topology and its Applications 24 Journal of Mathematical Analysis and Applications 24 Advances in Mathematics 24 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 24 Conformal Geometry and Dynamics 22 Mathematische Zeitschrift 21 Dynamical Systems 20 Acta Mathematica Sinica. English Series 17 Journal of Statistical Physics 17 Bulletin of the Brazilian Mathematical Society. New Series 15 Acta Mathematica 14 Israel Journal of Mathematics 14 Annales de l’Institut Fourier 14 Mathematische Annalen 13 Nonlinearity 13 Physica D 13 Bulletin of the American Mathematical Society. New Series 13 Boletim da Sociedade Brasileira de Matemática. Nova Série 12 Duke Mathematical Journal 12 Journal of Dynamics and Differential Equations 11 Journal of Modern Dynamics 11 Science China. Mathematics 10 Publications Mathématiques 10 Science in China. Series A 10 The Journal of Geometric Analysis 10 Calculus of Variations and Partial Differential Equations 9 Journal d’Analyse Mathématique 9 Geometriae Dedicata 9 Annales Henri Poincaré 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Difference Equations and Applications 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Bulletin of the Australian Mathematical Society 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Chaos, Solitons and Fractals 7 Journal of the American Mathematical Society 7 Annals of Mathematics. Second Series 7 Regular and Chaotic Dynamics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of the European Mathematical Society (JEMS) 6 Communications in Contemporary Mathematics 5 Communications on Pure and Applied Mathematics 5 Journal of Mathematical Physics 5 Monatshefte für Mathematik 5 Proceedings of the Japan Academy. Series A 5 International Journal of Mathematics 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Qualitative Theory of Dynamical Systems 5 Advances in Difference Equations 4 Bulletin de la Société Mathématique de France 4 Memoirs of the American Mathematical Society 4 Journal of Mathematical Sciences (New York) 4 Journal of Inequalities and Applications 4 Journal of Dynamical and Control Systems 4 Differential Equations 4 Proceedings of the Steklov Institute of Mathematics 3 Archive for Rational Mechanics and Analysis 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Arkiv för Matematik 3 Commentarii Mathematici Helvetici 3 Journal of Functional Analysis 3 Nagoya Mathematical Journal 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Osaka Journal of Mathematics 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Geometric and Functional Analysis. GAFA 3 Experimental Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of the Australian Mathematical Society 3 Computational Methods and Function Theory 3 Journal of Dynamical Systems and Geometric Theories 3 Journal de l’École Polytechnique – Mathématiques 2 Journal of the Franklin Institute 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Compositio Mathematica 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Journal of the Korean Mathematical Society 2 Journal of the Mathematical Society of Japan 2 Manuscripta Mathematica 2 Michigan Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Siberian Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the Moscow Mathematical Society 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Probability Theory and Related Fields ...and 113 more Serials
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#### Cited in 52 Fields

 1,113 Dynamical systems and ergodic theory (37-XX) 132 Functions of a complex variable (30-XX) 82 Measure and integration (28-XX) 78 Differential geometry (53-XX) 76 Several complex variables and analytic spaces (32-XX) 62 General topology (54-XX) 54 Partial differential equations (35-XX) 51 Ordinary differential equations (34-XX) 45 Mechanics of particles and systems (70-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 39 Manifolds and cell complexes (57-XX) 38 Global analysis, analysis on manifolds (58-XX) 31 Probability theory and stochastic processes (60-XX) 25 Statistical mechanics, structure of matter (82-XX) 18 Number theory (11-XX) 16 Numerical analysis (65-XX) 15 Operator theory (47-XX) 14 Topological groups, Lie groups (22-XX) 14 Potential theory (31-XX) 13 Difference and functional equations (39-XX) 13 Systems theory; control (93-XX) 12 Quantum theory (81-XX) 11 Algebraic geometry (14-XX) 11 Functional analysis (46-XX) 10 Group theory and generalizations (20-XX) 8 Real functions (26-XX) 8 Fluid mechanics (76-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 Mathematical logic and foundations (03-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX)

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