## Butler, Leo T.

Compute Distance To:
 Author ID: butler.leo-t Published as: Butler, Leo T.; Butler, L. T.; Butler, Leo; Butler, Léo T.
 Documents Indexed: 29 Publications since 1999 Co-Authors: 4 Co-Authors with 6 Joint Publications 89 Co-Co-Authors

### Co-Authors

 23 single-authored 2 Levit, Boris Y. 2 Paternain, Gabriel Pedro 1 Gelfreich, Vassili 1 Sorrentino, Alfonso
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### 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 Classical and Quantum Gravity 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
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### Fields

 24 Dynamical systems and ergodic theory (37-XX) 20 Differential geometry (53-XX) 7 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 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 78 times in 44 Documents Cited by Year
Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds. Zbl 1063.37049
Butler, Leo
2003
A new class of homogeneous manifolds with Liouville-integrable geodesic flows. Zbl 0984.53035
Butler, Leo
1999
New examples of integrable geodesic flows. Zbl 1116.37312
Butler, Leo T.
2000
Integrable geodesic flows on $$n$$-step nilmanifolds. Zbl 0989.53051
Butler, Leo
2000
Invariant fibrations of geodesic flows. Zbl 1067.37070
Butler, Leo T.
2005
Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023
Butler, Leo T.; Paternain, Gabriel P.
2008
Zero entropy, non-integrable geodesic flows and a non-commutative rotation vector. Zbl 1054.37036
Butler, Leo T.
2003
Toda lattices and positive-entropy integrable systems. Zbl 1072.37027
Butler, Leo T.
2004
Positive-entropy integrable systems and the Toda lattice. II. Zbl 1206.37032
Butler, Leo T.
2010
Weak Liouville-Arnol’d theorems and their implications. Zbl 1271.37042
Butler, Leo T.; Sorrentino, Alfonso
2012
Positive-entropy geodesic flows on nilmanifolds. Zbl 1153.37347
Butler, Leo T.; Gelfreich, Vassili
2008
An optical Hamiltonian and obstructions to integrability. Zbl 1107.37045
Butler, Leo T.
2006
Integrable Hamiltonian flows with positive Lebesgue-measure entropy. Zbl 1057.37053
Butler, Leo T.
2003
Invariant tori for the Nosé thermostat near the high-temperature limit. Zbl 1352.37160
Butler, Leo T.
2016
Invariant metrics on nilmanifolds with positive topological entropy. Zbl 1140.37320
Butler, Leo T.
2003
Positive-entropy Hamiltonian systems on nilmanifolds via scattering. Zbl 1300.37039
Butler, Leo T.
2014
Collective geodesic flows. Zbl 1066.53135
Butler, Léo T.; Paternain, Gabriel P.
2003
The Maslov cocycle, smooth structures, and real-analytic complete integrability. Zbl 1180.37113
Butler, Leo T.
2009
A Bayesian approach to the estimation of maps between Riemannian manifolds. Zbl 1229.62006
Butler, L. T.; Levit, B.
2007
Geometry and real-analytic integrability. Zbl 1164.37337
Butler, L. T.
2006
Invariant tori for the Nosé thermostat near the high-temperature limit. Zbl 1352.37160
Butler, Leo T.
2016
Positive-entropy Hamiltonian systems on nilmanifolds via scattering. Zbl 1300.37039
Butler, Leo T.
2014
Weak Liouville-Arnol’d theorems and their implications. Zbl 1271.37042
Butler, Leo T.; Sorrentino, Alfonso
2012
Positive-entropy integrable systems and the Toda lattice. II. Zbl 1206.37032
Butler, Leo T.
2010
The Maslov cocycle, smooth structures, and real-analytic complete integrability. Zbl 1180.37113
Butler, Leo T.
2009
Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023
Butler, Leo T.; Paternain, Gabriel P.
2008
Positive-entropy geodesic flows on nilmanifolds. Zbl 1153.37347
Butler, Leo T.; Gelfreich, Vassili
2008
A Bayesian approach to the estimation of maps between Riemannian manifolds. Zbl 1229.62006
Butler, L. T.; Levit, B.
2007
An optical Hamiltonian and obstructions to integrability. Zbl 1107.37045
Butler, Leo T.
2006
Geometry and real-analytic integrability. Zbl 1164.37337
Butler, L. T.
2006
Invariant fibrations of geodesic flows. Zbl 1067.37070
Butler, Leo T.
2005
Toda lattices and positive-entropy integrable systems. Zbl 1072.37027
Butler, Leo T.
2004
Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds. Zbl 1063.37049
Butler, Leo
2003
Zero entropy, non-integrable geodesic flows and a non-commutative rotation vector. Zbl 1054.37036
Butler, Leo T.
2003
Integrable Hamiltonian flows with positive Lebesgue-measure entropy. Zbl 1057.37053
Butler, Leo T.
2003
Invariant metrics on nilmanifolds with positive topological entropy. Zbl 1140.37320
Butler, Leo T.
2003
Collective geodesic flows. Zbl 1066.53135
Butler, Léo T.; Paternain, Gabriel P.
2003
New examples of integrable geodesic flows. Zbl 1116.37312
Butler, Leo T.
2000
Integrable geodesic flows on $$n$$-step nilmanifolds. Zbl 0989.53051
Butler, Leo
2000
A new class of homogeneous manifolds with Liouville-integrable geodesic flows. Zbl 0984.53035
Butler, Leo
1999
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### Cited by 50 Authors

 11 Butler, Leo T. 4 Bolsinov, Alexey V. 3 Ovando, Gabriela P. 3 Sorrentino, Alfonso 2 Epstein, Jonathan A. 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 Féjoz, Jacques 1 Furutani, Kenro 1 Gornet, Ruth 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 Llibre, Jaume 1 Long, Yiming 1 Macarini, Leonardo 1 Mahdi, Adam 1 Mamaev, Ivan Sergeevich 1 Markina, Irina 1 Mast, Maura B. 1 Matveev, Vladimir S. 1 Niu, Yanmin 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
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### Cited in 33 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 Annals of Global Analysis and Geometry 2 Differential Geometry and its Applications 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Sinica. English Series 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 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 Revista de la Unión Matemática Argentina 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 Geometry & Topology 1 Theoretical and Applied Mechanics 1 Frontiers of Mathematics in China 1 Journal of Topology and Analysis 1 Analysis and Mathematical Physics
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### Cited in 19 Fields

 32 Dynamical systems and ergodic theory (37-XX) 26 Differential geometry (53-XX) 15 Mechanics of particles and systems (70-XX) 5 Topological groups, Lie groups (22-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Nonassociative rings and algebras (17-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) 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) 1 Relativity and gravitational theory (83-XX)