Leo Butler

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Name: Leo Butler

Office Phone Number: (204) 474-6108

Email: Leo.Butler@umanitoba.ca

Research and Teaching Interests

dynamical systems, differential equations, computer algebra

Education

BSScH University of Ottawa
MSc Queen’s University
PhD Queen’s University

Links

https://server.math.umanitoba.ca/~butlerlt/

Butler, Leo T. (2018). Nosé-thermostated mechanical systems on the n-torus. Arch. Ration. Mech. Anal. 227 (2), 855–867.
Butler, Leo T. (2016). Invariant tori for the Nosé thermostat near the high-temperature limit. Nonlinearity 29 (11), 3454–3463.
Butler, Leo T. (2014). A note on integrable mechanical systems on surfaces. Discrete Contin. Dyn. Syst. 34 (5), 1873–1878.
Butler, Leo T. (2014). Positive-entropy Hamiltonian systems on nilmanifolds via scattering. Nonlinearity 27 (10), 2479–2489.
Butler, Leo T. (2012). Smooth structures on Eschenburg spaces: numerical computations. Exp. Math. 21 (1), 57–64.
Butler, Leo T. and Sorrentino, Alfonso (2012). Weak Liouville-Arnol’d theorems and their implications. Comm. Math. Phys. 315 (1), 109–133.
Butler, Leo T. (2010). Positive-entropy integrable systems and the Toda lattice, II.Math. Proc. Cambridge Philos. Soc. 149 (3), 491–538.
Butler, Leo T. (2009). The Maslov cocycle, smooth structures, and real-analytic complete integrability. Amer. J. Math. 131 (5), 1311–1336.
Butler, L. T. and Levit, B. (2009). A Bayesian approach to the estimation of maps between Riemannian manifolds. II. Examples. Math. Methods Statist. 18 (3), 207–230.
Butler, Leo T. and Gelfreich, Vassili (2008). Positive-entropy geodesic flows on nilmanifolds. Nonlinearity 21 (7), 1423–1434. With online multimedia enhancements
Butler, Leo T. and Paternain, Gabriel P. (2008). Magnetic flows on Sol-manifolds: dynamical and symplectic aspects. Comm. Math. Phys. 284 (1), 187–202.
Butler, L. T. and Levit, B. (2007). A Bayesian approach to the estimation of maps between Riemannian manifolds. Math. Methods Statist. 16 (4), 281–297.
Butler, Leo T.. An integrable, volume-preserving flow on S2×S3 with positive Lebesgue-measure entropy. In Topological methods in the theory of integrable systems 81–87. Camb. Sci. Publ., Cambridge, 2006.
Butler, Leo T. (2006). An optical Hamiltonian and obstructions to integrability.Nonlinearity 19 (9), 2123–2135.
Butler, L. T. (2006). Geometry and real-analytic integrability. Regul. Chaotic Dyn. 11(3), 363–369.
Butler, Leo T. (2005). Invariant fibrations of geodesic flows. Topology 44 (4), 769–789.
Butler, Leo T. (2005). Manifolds of infinite topological type with integrable geodesic flows. Manuscripta Math. 116 (1), 99–113.
Butler, Leo T. (2004). Toda lattices and positive-entropy integrable systems. Invent. Math. 158 (3), 515–549.
Butler, Leo (2003). Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds. Ergodic Theory Dynam. Systems 23 (3), 771–797.
Butler, Leo T. (2003). Integrable Hamiltonian flows with positive Lebesgue-measure entropy. Ergodic Theory Dynam. Systems 23 (6), 1671–1690.
Butler, Leo T. (2003). Invariant metrics on nilmanifolds with positive topological entropy. Geom. Dedicata 100, 173–185.
Butler, Leo T. (2003). Zero entropy, non-integrable geodesic flows and a non-commutative rotation vector. Trans. Amer. Math. Soc. 355 (9), 3641–3650.
Butler, L. T. and Paternain, G. P. (2003). Collective geodesic flows. Ann. Inst. Fourier (Grenoble) 53 (1), 265–308.
Butler, Leo (2000). Integrable geodesic flows on n-step nilmanifolds. J. Geom. Phys. 36 (3-4), 315–323.
Butler, Leo T. (2000). New examples of integrable geodesic flows. Asian J. Math. 4(3), 515–526.
Butler, Leo Thomas (2000). Topological obstructions to the integrability of geodesic flows on nonsimply connected Riemannian manifolds. ProQuest LLC, Ann Arbor, MI.
Butler, Leo (1999). A new class of homogeneous manifolds with Liouville-integrable geodesic flows. C. R. Math. Acad. Sci. Soc. R. Can. 21 (4), 127–131.