Edit Profile Butler, Leo T. Compute Distance To: Compute Author ID: butler.leo-t Published as: Butler, L. T.; Butler, Leo; Butler, Leo T.; Butler, Léo T. Documents Indexed: 28 Publications since 1999 Co-Authors 22 single-authored 2 Levit, Boris Y. 2 Paternain, Gabriel Pedro 1 Gelfreich, Vassili 1 Sorrentino, Alfonso all top 5 Serials 4 Nonlinearity 2 Communications in Mathematical Physics 2 Ergodic Theory and Dynamical Systems 2 Mathematical Methods of Statistics 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Topology 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Experimental Mathematics 1 Discrete and Continuous Dynamical Systems 1 The Asian Journal of Mathematics 1 Regular and Chaotic Dynamics 1 SIAM Journal on Applied Dynamical Systems all top 5 Fields 24 Dynamical systems and ergodic theory (37-XX) 19 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 3 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 20 Publications have been cited 70 times in 39 Documents Cited by ▼ Year ▼ Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds. Zbl 1063.37049Butler, Leo 9 2003 A new class of homogeneous manifolds with Liouville-integrable geodesic flows. Zbl 0984.53035Butler, Leo 9 1999 New examples of integrable geodesic flows. Zbl 1116.37312Butler, Leo T. 8 2000 Integrable geodesic flows on \(n\)-step nilmanifolds. Zbl 0989.53051Butler, Leo 7 2000 Invariant fibrations of geodesic flows. Zbl 1067.37070Butler, Leo T. 5 2005 Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023Butler, Leo T.; Paternain, Gabriel P. 4 2008 Toda lattices and positive-entropy integrable systems. Zbl 1072.37027Butler, Leo T. 4 2004 Zero entropy, non-integrable geodesic flows and a non-commutative rotation vector. Zbl 1054.37036Butler, Leo T. 4 2003 Invariant tori for the Nosé thermostat near the high-temperature limit. Zbl 1352.37160Butler, Leo T. 2 2016 Weak Liouville-Arnol’d theorems and their implications. Zbl 1271.37042Butler, Leo T.; Sorrentino, Alfonso 2 2012 Positive-entropy integrable systems and the Toda lattice. II. Zbl 1206.37032Butler, Leo T. 2 2010 The Maslov cocycle, smooth structures, and real-analytic complete integrability. Zbl 1180.37113Butler, Leo T. 2 2009 An optical Hamiltonian and obstructions to integrability. Zbl 1107.37045Butler, Leo T. 2 2006 Integrable Hamiltonian flows with positive Lebesgue-measure entropy. Zbl 1057.37053Butler, Leo T. 2 2003 Invariant metrics on nilmanifolds with positive topological entropy. Zbl 1140.37320Butler, Leo T. 2 2003 Collective geodesic flows. Zbl 1066.53135Butler, Léo T.; Paternain, Gabriel P. 2 2003 Positive-entropy Hamiltonian systems on nilmanifolds via scattering. Zbl 1300.37039Butler, Leo T. 1 2014 Positive-entropy geodesic flows on nilmanifolds. Zbl 1153.37347Butler, Leo T.; Gelfreich, Vassili 1 2008 A Bayesian approach to the estimation of maps between Riemannian manifolds. Zbl 1229.62006Butler, L. T.; Levit, B. 1 2007 Geometry and real-analytic integrability. Zbl 1164.37337Butler, L. T. 1 2006 Invariant tori for the Nosé thermostat near the high-temperature limit. Zbl 1352.37160Butler, Leo T. 2 2016 Positive-entropy Hamiltonian systems on nilmanifolds via scattering. Zbl 1300.37039Butler, Leo T. 1 2014 Weak Liouville-Arnol’d theorems and their implications. Zbl 1271.37042Butler, Leo T.; Sorrentino, Alfonso 2 2012 Positive-entropy integrable systems and the Toda lattice. II. Zbl 1206.37032Butler, Leo T. 2 2010 The Maslov cocycle, smooth structures, and real-analytic complete integrability. Zbl 1180.37113Butler, Leo T. 2 2009 Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023Butler, Leo T.; Paternain, Gabriel P. 4 2008 Positive-entropy geodesic flows on nilmanifolds. Zbl 1153.37347Butler, Leo T.; Gelfreich, Vassili 1 2008 A Bayesian approach to the estimation of maps between Riemannian manifolds. Zbl 1229.62006Butler, L. T.; Levit, B. 1 2007 An optical Hamiltonian and obstructions to integrability. Zbl 1107.37045Butler, Leo T. 2 2006 Geometry and real-analytic integrability. Zbl 1164.37337Butler, L. T. 1 2006 Invariant fibrations of geodesic flows. Zbl 1067.37070Butler, Leo T. 5 2005 Toda lattices and positive-entropy integrable systems. Zbl 1072.37027Butler, Leo T. 4 2004 Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds. Zbl 1063.37049Butler, Leo 9 2003 Zero entropy, non-integrable geodesic flows and a non-commutative rotation vector. Zbl 1054.37036Butler, Leo T. 4 2003 Integrable Hamiltonian flows with positive Lebesgue-measure entropy. Zbl 1057.37053Butler, Leo T. 2 2003 Invariant metrics on nilmanifolds with positive topological entropy. Zbl 1140.37320Butler, Leo T. 2 2003 Collective geodesic flows. Zbl 1066.53135Butler, Léo T.; Paternain, Gabriel P. 2 2003 New examples of integrable geodesic flows. Zbl 1116.37312Butler, Leo T. 8 2000 Integrable geodesic flows on \(n\)-step nilmanifolds. Zbl 0989.53051Butler, Leo 7 2000 A new class of homogeneous manifolds with Liouville-integrable geodesic flows. Zbl 0984.53035Butler, Leo 9 1999 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 10 Butler, Leo T. 3 Bolsinov, Alexey V. 3 Sorrentino, Alfonso 2 Frauenfelder, Urs Adrian 2 Khosravi, Mahta 2 Labrousse, Clémence 2 Marco, Jean-Pierre 2 Paternain, Gabriel Pedro 2 Schlenk, Felix 1 Bao, Jinrong 1 Bauer, Wolfram 1 Bialy, Misha 1 Bizyaev, Ivan Alekseevich 1 Borisov, Alekseĭ Vladimirovich 1 Cieliebak, Kai 1 Dullin, Holger R. 1 Epstein, Jonathan A. 1 Féjoz, Jacques 1 Furutani, Kenro 1 Gorni, Gianluca 1 Jovanović, Božidar Žarko 1 Knauf, Andreas 1 Kocsard, Alejandro 1 Kruglikov, Boris S. 1 Levit, Boris Y. 1 Li, Xiong 1 Liao, Gang 1 Liu, Fei 1 Llibre, Jaume 1 Long, Yiming 1 Macarini, Leonardo 1 Mahdi, Adam 1 Mamaev, Ivan Sergeevich 1 Markina, Irina 1 Matveev, Vladimir S. 1 Niu, Yanmin 1 Ovando, Gabriela P. 1 Petridis, Yiannis N. 1 Reggiani, Silvio 1 Schüth, Dorothee 1 Sun, Wenxiang 1 Taimanov, Iskander Asanovich 1 Tarama, Daisuke 1 Toth, John Andrew 1 Valls Anglés, Cláudia 1 Veselov, Alexander Petrovich 1 Wang, Fang 1 Wojtkowski, Maciej P. 1 Zampieri, Gaetano all top 5 Cited in 30 Serials 4 Regular and Chaotic Dynamics 2 Communications in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Geometry and Physics 2 Transactions of the American Mathematical Society 2 Differential Geometry and its Applications 2 Acta Mathematica Sinica. English Series 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Physica D 1 Geometric and Functional Analysis. GAFA 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 Mathematical Methods of Statistics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Complexity 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Geometry & Topology 1 Frontiers of Mathematics in China 1 Journal of Topology and Analysis 1 Analysis and Mathematical Physics all top 5 Cited in 18 Fields 30 Dynamical systems and ergodic theory (37-XX) 22 Differential geometry (53-XX) 11 Mechanics of particles and systems (70-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year