Edit Profile (opens in new tab) Herman, Michael Robert Co-Author Distance Author ID: herman.michael-robert Published as: Herman, Michael R.; Herman, Michael Robert; Herman, M. R.; Herman, Michael Herbert; Herman, Michael; Herman, M. more...less External Links: MGP · Wikidata · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 37 Publications since 1971, including 3 Books 1 Contribution as Editor Biographic References: 3 Publications Co-Authors: 2 Co-Authors with 4 Joint Publications 70 Co-Co-Authors all top 5 Co-Authors 32 single-authored 3 Yoccoz, Jean-Christophe 2 Fathi, Albert 1 McGehee, Richard P. 1 Moser, Jürgen K. 1 Sergeraert, Francis 1 Zehnder, Eduard J. all top 5 Serials 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Anais da Academia Brasileira de Ciências 2 Publications Mathématiques 2 Ergodic Theory and Dynamical Systems 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Astérisque 1 Communications in Mathematical Physics 1 Annales de l’Institut Fourier 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Journal of the London Mathematical Society. Second Series 1 Documenta Mathematica 1 Documents Mathématiques 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae all top 5 Fields 24 Dynamical systems and ergodic theory (37-XX) 16 Global analysis, analysis on manifolds (58-XX) 9 Manifolds and cell complexes (57-XX) 4 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 1,176 times in 1,027 Documents Cited by ▼ Year ▼ Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations). Zbl 0448.58019 Herman, Michael Robert 397 1979 Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d’un théorème d’Arnold et de Moser sur le tore de dimension 2. Zbl 0554.58034 Herman, Michael R. 186 1983 Sur les courbes invariantes par les difféomorphismes de l’anneau. Vol. 1. Complété par un appendice au chapitre 1 de Albert Fathi. Zbl 0532.58011 Herman, Michael R. 101 1983 Existence de difféomorphismes minimaux. Zbl 0374.58010 Fathi, Albert; Herman, Michael R. 54 1978 Are there critical points on the boundaries of singular domains? Zbl 0587.30040 Herman, Michael R. 46 1985 Mesure de Lebesgue et nombre de rotation. Zbl 0366.57007 Herman, Michael Robert 43 1977 Some open problems in dynamical systems. Zbl 0910.58036 Herman, Michael 40 1998 Sur les courbes invariantes par les difféomorphismes de l’anneau. Volume 2. Zbl 0613.58021 Herman, Michael R. 37 1986 Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann. Zbl 0559.58020 Herman, Michael R. 34 1984 Inégalités “a priori” pour des tores lagrangiens invariants par des difféomorphismes symplectiques. (‘A priori’ inequalities for Langrangian tori invariant under symplectic diffeomorphisms). Zbl 0717.58020 Herman, Michael R. 32 1989 Generalizations of some theorems of small divisors to non Archimedean fields. Zbl 0528.58031 Herman, M.; Yoccoz, Jean-Christophe 30 1983 Exemples de flots hamiltoniens dont aucune perturbation en topologie \(C^{\infty{}}\) n’a d’orbites périodiques sur un ouvert de surfaces d’énergies. (Examples of Hamiltonian flows such that no \(C^{\infty{}}\) perturbation has a periodic orbit on an open set of energy surfaces). Zbl 0759.58016 Herman, Michael R. 28 1991 A proof of Pesin’s stable manifold theorem. Zbl 0532.58012 Fathi, A.; Herman, M. R.; Yoccoz, Jean-Christophe 27 1983 Construction of some curious diffeomorphisms of the Riemann sphere. Zbl 0603.58017 Herman, Michael R. 26 1986 Construction d’un difféomorphisme minimal d’entropie topologique non nulle. Zbl 0469.58008 Herman, M. R. 24 1981 Sur le groupe des difféomorphismes du tore. Zbl 0269.58004 Herman, Michael R. 20 1973 Simplicité du groupe des difféomorphismes de classe \(C^ \infty\), isotopes à l’identité, du tore de dimension n. Zbl 0217.49602 Herman, M.-R. 18 1971 Simple proofs of local conjugacy theorems for diffeomorphisms of the circle with almost every rotation number. Zbl 0651.58008 Herman, Michael R. 14 1985 Existence et non existence de tores invariants par des difféomorphismes symplectiques. (Existence and nonexistence of invariant tori of symplectic diffeomorphisms). Zbl 0664.58005 Herman, Michael R. 14 1988 Différentiabilité optimale et contre-exemples à la fermeture en topologie \(C^ \infty\) des orbites récurrentes de flots hamiltoniens. (Optimal differentiability and counterexamples to the \(C^ \infty\) closing lemma for Hamiltonian vector fields). Zbl 0759.58017 Herman, Michael R. 13 1991 Dynamics connected with indefinite normal torsion. Zbl 0763.58009 Herman, Michael R. 9 1992 Sur un théorème d’Arnold et Kolmogorov. Zbl 0217.49601 Herman, Michael; Sergeraert, F. 6 1971 The Godbillon-Vey invariant of foliations by planes of \(T^3\). Zbl 0366.57006 Herman, Michael Robert 5 1977 \(L^2\) regularity of measurable solutions of a finite-difference equation of the circle. Zbl 1160.37358 Herman, Michael Robert 5 2004 Résultats recents sur la conjugaison différentiable. Zbl 0453.58001 Herman, Michael Robert 5 1980 Unfinished notes. Selected by Jean-Christophe Yoccoz. (Notes inachevées. Sélectionnées par Jean-Christophe Yoccoz.) Zbl 1408.37002 Herman, Michael R. 4 2018 Sur les difféomorphismes du cercle de nombre de rotation de type constant. Zbl 0501.58011 Herman, M. R. 3 1983 Conjugaison \(C^\infty\) des difféomorphismes du cercle pour presque tout nombre de rotation. Zbl 0359.58009 Herman, Michael Robert 2 1976 On the dynamics of Lagrangian tori invariant by symplectic diffeomorphisms. Zbl 0789.58037 Herman, M. R. 2 1992 Sur l’algèbre de Lie des champs de vecteurs R-analytiques du tore. Zbl 0322.57015 Herman, M. R. 2 1975 Charles Conley memorial volume. Zbl 0658.00010 Moser, Jürgen 1 1988 Majoration du nombre de cycles périodiques pour certaines familles de difféomorphismes du cercle. Zbl 0607.58036 Herman, Michael R. 1 1985 Sur le groupe des difféomorphismes \(\mathbb{R}\)-analytiques de \(\mathbb{R}\). Zbl 0309.58010 Herman, Michael Robert 1 1975 Sur le groupe des difféomorphismes R-analytiques du tore. Zbl 0321.58010 Herman, M. R. 1 1975 Conjugaison \(C^\infty\) des difféomorphismes du cercle dont le nombre de rotations satisfait à une condition arithmétique. Zbl 0332.58014 Herman, Michael Herbert 1 1976 Unfinished notes. Selected by Jean-Christophe Yoccoz. (Notes inachevées. Sélectionnées par Jean-Christophe Yoccoz.) Zbl 1408.37002 Herman, Michael R. 4 2018 \(L^2\) regularity of measurable solutions of a finite-difference equation of the circle. Zbl 1160.37358 Herman, Michael Robert 5 2004 Some open problems in dynamical systems. Zbl 0910.58036 Herman, Michael 40 1998 Dynamics connected with indefinite normal torsion. Zbl 0763.58009 Herman, Michael R. 9 1992 On the dynamics of Lagrangian tori invariant by symplectic diffeomorphisms. Zbl 0789.58037 Herman, M. R. 2 1992 Exemples de flots hamiltoniens dont aucune perturbation en topologie \(C^{\infty{}}\) n’a d’orbites périodiques sur un ouvert de surfaces d’énergies. (Examples of Hamiltonian flows such that no \(C^{\infty{}}\) perturbation has a periodic orbit on an open set of energy surfaces). Zbl 0759.58016 Herman, Michael R. 28 1991 Différentiabilité optimale et contre-exemples à la fermeture en topologie \(C^ \infty\) des orbites récurrentes de flots hamiltoniens. (Optimal differentiability and counterexamples to the \(C^ \infty\) closing lemma for Hamiltonian vector fields). Zbl 0759.58017 Herman, Michael R. 13 1991 Inégalités “a priori” pour des tores lagrangiens invariants par des difféomorphismes symplectiques. (‘A priori’ inequalities for Langrangian tori invariant under symplectic diffeomorphisms). Zbl 0717.58020 Herman, Michael R. 32 1989 Existence et non existence de tores invariants par des difféomorphismes symplectiques. (Existence and nonexistence of invariant tori of symplectic diffeomorphisms). Zbl 0664.58005 Herman, Michael R. 14 1988 Charles Conley memorial volume. Zbl 0658.00010 Moser, Jürgen 1 1988 Sur les courbes invariantes par les difféomorphismes de l’anneau. Volume 2. Zbl 0613.58021 Herman, Michael R. 37 1986 Construction of some curious diffeomorphisms of the Riemann sphere. Zbl 0603.58017 Herman, Michael R. 26 1986 Are there critical points on the boundaries of singular domains? Zbl 0587.30040 Herman, Michael R. 46 1985 Simple proofs of local conjugacy theorems for diffeomorphisms of the circle with almost every rotation number. Zbl 0651.58008 Herman, Michael R. 14 1985 Majoration du nombre de cycles périodiques pour certaines familles de difféomorphismes du cercle. Zbl 0607.58036 Herman, Michael R. 1 1985 Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann. Zbl 0559.58020 Herman, Michael R. 34 1984 Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d’un théorème d’Arnold et de Moser sur le tore de dimension 2. Zbl 0554.58034 Herman, Michael R. 186 1983 Sur les courbes invariantes par les difféomorphismes de l’anneau. Vol. 1. Complété par un appendice au chapitre 1 de Albert Fathi. Zbl 0532.58011 Herman, Michael R. 101 1983 Generalizations of some theorems of small divisors to non Archimedean fields. Zbl 0528.58031 Herman, M.; Yoccoz, Jean-Christophe 30 1983 A proof of Pesin’s stable manifold theorem. Zbl 0532.58012 Fathi, A.; Herman, M. R.; Yoccoz, Jean-Christophe 27 1983 Sur les difféomorphismes du cercle de nombre de rotation de type constant. Zbl 0501.58011 Herman, M. R. 3 1983 Construction d’un difféomorphisme minimal d’entropie topologique non nulle. Zbl 0469.58008 Herman, M. R. 24 1981 Résultats recents sur la conjugaison différentiable. Zbl 0453.58001 Herman, Michael Robert 5 1980 Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations). Zbl 0448.58019 Herman, Michael Robert 397 1979 Existence de difféomorphismes minimaux. Zbl 0374.58010 Fathi, Albert; Herman, Michael R. 54 1978 Mesure de Lebesgue et nombre de rotation. Zbl 0366.57007 Herman, Michael Robert 43 1977 The Godbillon-Vey invariant of foliations by planes of \(T^3\). Zbl 0366.57006 Herman, Michael Robert 5 1977 Conjugaison \(C^\infty\) des difféomorphismes du cercle pour presque tout nombre de rotation. Zbl 0359.58009 Herman, Michael Robert 2 1976 Conjugaison \(C^\infty\) des difféomorphismes du cercle dont le nombre de rotations satisfait à une condition arithmétique. Zbl 0332.58014 Herman, Michael Herbert 1 1976 Sur l’algèbre de Lie des champs de vecteurs R-analytiques du tore. Zbl 0322.57015 Herman, M. R. 2 1975 Sur le groupe des difféomorphismes \(\mathbb{R}\)-analytiques de \(\mathbb{R}\). Zbl 0309.58010 Herman, Michael Robert 1 1975 Sur le groupe des difféomorphismes R-analytiques du tore. Zbl 0321.58010 Herman, M. R. 1 1975 Sur le groupe des difféomorphismes du tore. Zbl 0269.58004 Herman, Michael R. 20 1973 Simplicité du groupe des difféomorphismes de classe \(C^ \infty\), isotopes à l’identité, du tore de dimension n. Zbl 0217.49602 Herman, M.-R. 18 1971 Sur un théorème d’Arnold et Kolmogorov. Zbl 0217.49601 Herman, Michael; Sergeraert, F. 6 1971 all cited Publications top 5 cited Publications all top 5 Cited by 1,022 Authors 19 de la Llave, Rafael 18 Avila, Artur 18 Khanin, Konstantin M. 16 Oertel-Jäger, Tobias Hendrik 15 Arnaud, Marie-Claude 15 Fayad, Bassam R. 15 Zhou, Qi 12 Damanik, David 12 Dzhalilov, Akhtam Abdurakhmanovich 11 Kocić, Saša 11 You, Jiangong 10 Bjerklöv, Kristian 10 Le Calvez, Patrice 9 Bounemoura, Abed Bounemoura 8 Boroński, Jan P. 8 Ge, Lingrui 8 Haro, Àlex 8 Jitomirskaya, Svetlana Yakovlevna 8 Krikorian, Raphaël 8 Navas, Andrés 8 Triestino, Michele 7 Akhadkulov, Habibulla 7 Figueras, Jordi-Lluís 7 Li, Yong 7 MacKay, Robert Sinclair 7 Martens, Marco 7 Mukhamedov, Farruh Maksutovich 7 Noorani, Mohd Salmi Mohd 7 Wang, Jing 6 Akhatkulov, Sokhobiddin 6 Briane, Marc 6 Chéritat, Arnaud 6 de Faria, Edson 6 de Melo, Welington 6 Fagella, Núria 6 Glendinning, Paul Alexander 6 Guarino, Pablo 6 Johnson, Russell Allan 6 Kleptsyn, Victor A. 6 Lopes Dias, João 6 Luque, Alejandro 6 Marmi, Stefano 6 Sauzin, David 5 Bergweiler, Walter 5 Bochi, Jairo 5 Calleja, Renato C. 5 Celletti, Alessandra 5 Chenciner, Alain 5 Cheng, Hongyu 5 Dirbák, Matúš 5 Forni, Giovanni 5 Fuhrmann, Gabriel 5 Guardia, Marcel 5 Guckenheimer, John M. 5 Herman, Michael Robert 5 Huang, Peng 5 Lemańczyk, Mariusz 5 Li, Xiong 5 Liang, Jinhao 5 Liousse, Isabelle 5 Marò, Stefano 5 Massetti, Jessica Elisa 5 Mayer, Dieter H. 5 Palmisano, Liviana 5 Rippon, Philip Jonathan 5 Rodrigues, Alexandre A. P. 5 M-Seara, Tere 5 Strung, Karen R. 5 Villanueva, Jordi 5 Yi, Yingfei 5 Yorke, James Alan 5 Zhang, Dongfeng 5 Zhao, Xin 4 Adouani, Abdelhamid 4 Berger, Pierre 4 Bonatti, Christian 4 Cheng, Chong-Qing 4 Cheraghi, Davoud 4 Crovisier, Sylvain 4 Dai, Xiongping 4 Deeley, Robin J. 4 Duarte, Pedro 4 Evdoridou, Vasiliki 4 Ghazouani, Selim 4 Hall, Glen Richard 4 Hawkins, Jane M. 4 Hervé, Loïc 4 Kaloshin, Vadim Yu. 4 Kennedy, Judy A. 4 Klein, Silvius 4 Kocsard, Alejandro 4 Le Roux, Frédéric 4 Lopes, Artur Oscar 4 Marzougui, Habib 4 Mora, Leonardo 4 Oprocha, Piotr 4 Peralta-Salas, Daniel 4 Ponce, Mario 4 Procesi, Michela 4 Putnam, Ian F. ...and 922 more Authors all top 5 Cited in 217 Serials 80 Ergodic Theory and Dynamical Systems 56 Communications in Mathematical Physics 39 Discrete and Continuous Dynamical Systems 37 Physica D 34 Advances in Mathematics 29 Journal of Differential Equations 29 Proceedings of the American Mathematical Society 26 Nonlinearity 21 Transactions of the American Mathematical Society 21 Journal of Dynamics and Differential Equations 20 Journal of Mathematical Analysis and Applications 19 Mathematische Zeitschrift 18 Inventiones Mathematicae 17 Israel Journal of Mathematics 17 Annales de l’Institut Fourier 15 Journal of Modern Dynamics 13 Journal of Statistical Physics 13 Duke Mathematical Journal 13 Journal of Functional Analysis 13 Regular and Chaotic Dynamics 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Mathematische Annalen 12 Topology and its Applications 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Annals of Mathematics. Second Series 11 Bulletin de la Société Mathématique de France 11 Publications Mathématiques 11 Chaos 11 Dynamical Systems 10 Geometric and Functional Analysis. GAFA 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Mathematical Physics 7 Journal of the American Mathematical Society 7 Bulletin of the American Mathematical Society. New Series 7 Annales Henri Poincaré 6 Archive for Rational Mechanics and Analysis 6 Science in China. Series A 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal d’Analyse Mathématique 5 Indagationes Mathematicae. New Series 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal of Difference Equations and Applications 5 Qualitative Theory of Dynamical Systems 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Physics Letters. A 4 Acta Mathematica 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Acta Mathematica Sinica. English Series 4 Communications in Nonlinear Science and Numerical Simulation 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Groups, Geometry, and Dynamics 4 Science China. Mathematics 4 Journal of Spectral Theory 3 Mathematical Notes 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chaos, Solitons and Fractals 3 Bulletin of the London Mathematical Society 3 Geometriae Dedicata 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Applicandae Mathematicae 3 Revista Matemática Iberoamericana 3 Journal of Nonlinear Science 3 Geometry & Topology 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Applied Analysis and Computation 3 Arnold Mathematical Journal 3 Journal de l’École Polytechnique – Mathématiques 2 Communications on Pure and Applied Mathematics 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Commentarii Mathematici Helvetici 2 Compositio Mathematica 2 Functional Analysis and its Applications 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Advances in Applied Mathematics 2 Annals of Global Analysis and Geometry 2 SIAM Journal on Mathematical Analysis 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Expositiones Mathematicae 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Conformal Geometry and Dynamics 2 Communications in Contemporary Mathematics 2 Differential Equations 2 Foundations of Computational Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Stochastics and Dynamics 2 SIAM Journal on Applied Dynamical Systems ...and 117 more Serials all top 5 Cited in 51 Fields 844 Dynamical systems and ergodic theory (37-XX) 100 Mechanics of particles and systems (70-XX) 95 Ordinary differential equations (34-XX) 65 Manifolds and cell complexes (57-XX) 62 Functions of a complex variable (30-XX) 61 Operator theory (47-XX) 60 Differential geometry (53-XX) 54 Partial differential equations (35-XX) 48 General topology (54-XX) 44 Quantum theory (81-XX) 41 Measure and integration (28-XX) 41 Global analysis, analysis on manifolds (58-XX) 37 Number theory (11-XX) 28 Difference and functional equations (39-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Several complex variables and analytic spaces (32-XX) 21 Topological groups, Lie groups (22-XX) 21 Functional analysis (46-XX) 18 Group theory and generalizations (20-XX) 15 Probability theory and stochastic processes (60-XX) 11 Real functions (26-XX) 11 Numerical analysis (65-XX) 10 Algebraic geometry (14-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Convex and discrete geometry (52-XX) 6 Algebraic topology (55-XX) 6 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 5 History and biography (01-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Category theory; homological algebra (18-XX) 3 \(K\)-theory (19-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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