Keith Burns

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All published works

Action	Title	Year	Authors
+ PDF Chat	A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature	2023	Keith Burns Dong Chen
+	A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature	2022	Keith Burns Dong Chen
+ PDF Chat	Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature	2021	Keith Burns Jérôme Buzzi Tom Fisher Noelle Sawyer
+	Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature	2021	Keith Burns Jérôme Buzzi Todd Fisher Noelle Sawyer
+	Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature	2021	Keith Burns Jérôme Buzzi Todd Fisher Noelle Sawyer
+ PDF Chat	Open problems and questions about geodesics	2019	Keith Burns Vladimir S. Matveev
+ PDF Chat	Unique equilibrium states for geodesic flows in nonpositive curvature	2018	Keith Burns Vaughn Climenhaga Tom Fisher Daniel J. Thompson
+ PDF Chat	Average Pace and Horizontal Chords	2017	Keith Burns Orit Davidovich Diana Davis
+	Unique equilibrium states for geodesic flows in nonpositive curvature	2017	Keith Burns Vaughn Climenhaga Todd Fisher Daniel J. Thompson
+	Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces	2017	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Ergodicity of the Weil–Petersson Geodesic Flow	2017	Keith Burns Howard Masur Amie Wilkinson
+	Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds	2017	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Unique equilibrium states for geodesic flows in nonpositive curvature	2017	Keith Burns Vaughn Climenhaga Todd Fisher Daniel James David Thompson
+	Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces	2016	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Rates of mixing for the Weil-Petersson geodesic flow II: exponential mixing in exceptional moduli spaces	2016	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Rates of mixing for the Weil-Petersson geodesic flow II: exponential mixing in exceptional moduli spaces	2016	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Average pace and horizontal chords	2015	Keith Burns Orit Davidovich Diana Davis
+	Average pace and horizontal chords	2015	Keith Burns Orit Davidovich Diana K. Davis
+	Ergodicity of the WP geodesic flow	2014	Keith Burns
+	Rates of mixing of Weil-Pertesson geodesic flows	2013	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Lyapunov spectrum for geodesic flows of rank 1 surfaces	2013	Keith Burns Katrin Gelfert
+ PDF Chat	The Weil-Petersson geodesic flow is ergodic	2012	Keith Burns Howard Masur Amie Wilkinson
+	Thermodynamics for geodesic flows of rank 1 surfaces	2011	Keith Burns Katrin Gelfert
+	The Sharkovsky Theorem: A Natural Direct Proof	2011	Keith Burns Boris Hasselblatt
+	The Weil-Petersson geodesic flow is ergodic	2010	Keith Burns Howard Masur Amie Wilkinson
+ PDF Chat	On the ergodicity of partially hyperbolic systems	2010	Keith Burns Amie Wilkinson
+	The Weil-Petersson geodesic flow is ergodic	2010	Keith Burns Howard Masur Amie Wilkinson
+ PDF Chat	Dynamical coherence and center bunching	2008	Amie Wilkinson Keith Burns
+ PDF Chat	Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center	2008	Raúl Ures Anna Talitskaya M. A. Rodriguez Hertz Federico Rodriguez Hertz Keith Burns
+ PDF Chat	Stable ergodicity for partially hyperbolic attractors with negative central exponents	2008	Keith Burns Dmitry Dolgopyat Yakov Pesin Mark Pollicott
+ PDF Chat	Growth of the number of geodesics between points and insecurity for Riemannian manifolds	2008	Keith Burns Eugène Gutkin
+	Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD	2008	Keith Burns Dmitry Dolgopyat Ya. B. Pesin Related Topics
+	Growth of the number of geodesics between points and insecurity for riemannian manifolds	2007	Keith Burns Eugène Gutkin
+	Growth of the number of geodesics between points and insecurity for riemannian manifolds	2007	Keith Burns Eugène Gutkin
+	SHARKOVSKY'S THEOREM	2007	Keith Burns Boris Hasselblatt
+	Differential geometry and topology: with a view to dynamical systems	2006	Keith Burns Marian Gidea
+	On the rigidity of magnetic systems with the same magnetic geodesics	2005	Keith Burns Vladimir S. Matveev
+	Differential Geometry and Topology	2005	Keith Burns Marian Gidea
+	On the ergodicity of partially hyperbolic systems	2005	Keith Burns Amie Wilkinson
+	None	2003	Keith Burns Mark Pollicott
+	Spheres with positive curvature and nearly dense orbits for the geodesic flow	2002	Keith Burns Howard M. Weiss
+	Anosov magnetic flows, critical values and topological entropy	2002	Keith Burns Gabriel P. Paternain
+	None	2002	Keith Burns Dmitry Dolgopyat Ya. B. Pesin
+	A Simple Special Case of Sharkovskii's Theorem	2000	Reid Barton Keith Burns
+	A Simple Special Case of Sharkovskii's Theorem	2000	Reid Barton Keith Burns
+	GEOMETRY OF NONPOSITIVELY CURVED MANIFOLDS (Chicago Lectures in Mathematics) By P ATRICK B. E BERLEIN : 449 pp., US$45.00 (£35.95), ISBN 0 226 18198 7 (University of Chicago Press, 1996). NONPOSITIVE CURVATURE: GEOMETRIC AND ANALYTIC ASPECTS (Lecture in Mathematics ETH Zürich) By J ÜRGEN J OST : 108 pp., DM.38.–, ISBN 3 7643 5736 3 (Birkhäuser, 1997).	2000	Keith Burns
+	GEOMETRY OF NONPOSITIVELY CURVED MANIFOLDS (Chicago Lectures in Mathematics)	2000	Keith Burns
+	Stable ergodicity and Anosov flows	2000	Keith Burns Charles Pugh Amie Wilkinson
+ PDF Chat	Stable ergodicity of skew products	1999	Keith Burns Amie Wilkinson
+	Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows	1997	Keith Burns Gabriel P. Paternain
+	Embedded Surfaces with Ergodic Geodesic Flows	1997	Keith Burns Victor J. Donnay
+	Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows	1996	Keith Burns Gabriel P. Paternain
+ PDF Chat	A geometric criterion for positive topological entropy	1995	Keith Burns Howard M. Weiss
+	Infinitesimal Lyapunov functions, invariant cone families and stochastic properties of smooth dyanmical systems	1994	Anatole Katok Keith Burns
+	Ergodic geodesic flows on product manifolds with low dimensional factors.	1994	Marlies Gerber Keith Burns
+	Ergodic geodesic ows on product manifolds with low dimensional factors	1994	Keith Burns Marlies Gerber
+ PDF Chat	The Flat Strip Theorem Fails for Surfaces with No Conjugate Points	1992	Keith Burns
+ PDF Chat	The flat strip theorem fails for surfaces with no conjugate points	1992	Keith Burns
+ PDF Chat	Rigidity of surfaces with no conjugate points	1991	Keith Burns Gerhard Knieper
+ PDF Chat	Real analytic Bernoulli geodesic flows on <i>S</i><sup>2</sup>	1989	Keith Burns Marlies Gerber
+ PDF Chat	Continuous invariant cone families and ergodicity of flows in dimension three	1989	Keith Burns Marlies Gerber
+	Continuous invariant cone families and ergodicity of ows in dimension three	1989	Keith Burns Marlies Gerber
+ PDF Chat	Manifolds of nonpositive curvature and their buildings	1987	Keith Burns Ralf Spatzier
+ PDF Chat	On the differentiability of horocycles and horocycle foliations	1987	Werner Ballmann Michael Brin Keith Burns
+ PDF Chat	On surfaces with no conjugate points	1987	Werner Ballmann Michael Brin Keith Burns
+	On topological Tits buildings and their classification . Manifolds of nonpositive curvature and their buildings . Equations defining Schubert varieties and Frobenius splitting of diagonals . Markov partitions and K[2] . Transformation de Fourier constantes d'équations fonctionnelles et conjecture de Weil	1987	Keith Burns Ralf Spatzier A. Ramanathan J. B. Wagoner Gérard Laumon
+ PDF Chat	Manifolds with non-positive curvature	1985	Keith Burns A. Katok W. Ballman Michael Brin Patrick Eberlein Robert Osserman
+	Convex Supporting Domains on Surfaces	1985	Keith Burns
+ PDF Chat	Hyperbolic behaviour of geodesic flows on manifolds with no focal points	1983	Keith Burns
+	Lectures on bifurcation from periodic orbits	1981	D. D. Joseph Keith Burns

Common Coauthors

Coauthor	Papers Together
Amie Wilkinson	15
Howard Masur	10
Carlos Matheus	6
Marlies Gerber	5
Todd Fisher	4
Dmitry Dolgopyat	3
Gabriel P. Paternain	3
Michael Brin	3
Jérôme Buzzi	3
Eugène Gutkin	3
Vaughn Climenhaga	3
Noelle Sawyer	3
Marian Gidea	2
Orit Davidovich	2
Mark Pollicott	2
Boris Hasselblatt	2
Ralf Spatzier	2
Tom Fisher	2
Reid Barton	2
Diana Davis	2
Vladimir S. Matveev	2
Ya. B. Pesin	2
Werner Ballmann	2
Katrin Gelfert	2
Dong Chen	2
Daniel J. Thompson	2
Howard M. Weiss	2
Anna Talitskaya	1
Gerhard Knieper	1
Yakov Pesin	1
A. Katok	1
Raúl Ures	1
Robert Osserman	1
W. Ballman	1
M. A. Rodriguez Hertz	1
Patrick Eberlein	1
Related Topics	1
Charles Pugh	1
Orit Davidovich	1
Daniel James David Thompson	1
Diana K. Davis	1
Victor J. Donnay	1
J. B. Wagoner	1
Federico Rodriguez Hertz	1
D. D. Joseph	1
A. Ramanathan	1
Anatole Katok	1
Gérard Laumon	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	11
+	PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS	1974	Michael Brin Ja B Pesin	8
+	The Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Rank 1 Manifolds	1998	Gerhard Knieper	8
+ PDF Chat	On surfaces with no conjugate points	1987	Werner Ballmann Michael Brin Keith Burns	8
+ PDF Chat	Stable ergodicity and julienne quasi-conformality	2000	Charles Pugh Michael Shub	7
+	Stable ergodicity of the time-one map of a geodesic flow	1998	Amie Wilkinson	7
+	Axial isometries of manifolds of non-positive curvature	1982	Werner Ballmann	7
+	Stably Ergodic Diffeomorphisms	1994	M. Grayson Charles Pugh Michael Shub	7
+	Stably Ergodic Dynamical Systems and Partial Hyperbolicity	1997	Charles Pugh Michael Shub	7
+	CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY	1977	Ya. B. Pesin	6
+	Continuity Properties of Entropy	1989	Sheldon E. Newhouse	6
+	GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS	1977	Ja B Pesin	5
+ PDF Chat	On the topological entropy of geodesic flows	1997	Ricardo Ma né	5
+	Structure of manifolds of nonpositive curvature	1985	Patrick Eberlein	5
+	Geometry of Nonpositively Curved Manifolds	1997	Patrick Eberlein	5
+	Topological Entropy for Geodesic Flows	1979	Anthony Manning	5
+ PDF Chat	The Weil-Petersson geodesic flow is ergodic	2012	Keith Burns Howard Masur Amie Wilkinson	5
+ PDF Chat	Invariant families of cones and Lyapunov exponents	1985	Maciej P. Wojtkowski	5
+	Introduction to the Modern Theory of Dynamical Systems	1995	Anatole Katok Boris Hasselblatt	5
+ PDF Chat	On the differential geometry of tangent bundles of Riemannian manifolds, II	1962	Shigeo Sasaki	5
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	5
+ PDF Chat	Riemannian manifolds without focal points	1976	John J. O’Sullivan	4
+ PDF Chat	Growth of the number of simple closed geodesics on hyperbolic surfaces	2008	Maryam Mirzakhani	4
+	On the entropy of the geodesic flow in manifolds without conjugate points	1982	André Pimenta Freire Ricardo Ma��	4
+ PDF Chat	Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities	1986	Anatole Katok Jean-Marie Strelcyn François Ledrappier Feliks Przytycki	4
+	Some systems with unique equilibrium states	1974	Rufus Bowen	4
+ PDF Chat	Geodesic flow on the two-sphere, Part I: Positive measure entropy	1988	Victor J. Donnay	4
+	Infinitesimal Lyapunov functions, invariant cone families and stochastic properties of smooth dyanmical systems	1994	Anatole Katok Keith Burns	4
+	Pathological foliations and removable zero exponents	2000	Michael Shub Amie Wilkinson	4
+ PDF Chat	On the differential geometry of tangent bundles of Riemannian manifolds	1958	Shigeo Sasaki	4
+	Structure of Manifolds of Nonpositive Curvature. I	1985	Werner Ballmann Misha Brin Patrick Eberlein	4
+	Manifolds all of whose Geodesics are Closed	1978	Arthur L. Besse	4
+ PDF Chat	The Moduli Space of Riemann Surfaces is Kahler Hyperbolic	2000	Curtis T. McMullen	4
+ PDF Chat	A surface with positive curvature and positive topological entropy	1994	Gerhard Knieper Howard M. Weiss	4
+ PDF Chat	Cocycles' stability for partially hyperbolic systems	1996	A. Katok А. Кононенко	4
+	GIBBS MEASURES IN ERGODIC THEORY	1972	Yakov G. Sinai	4
+	Lyapunov spectrum for geodesic flows of rank 1 surfaces	2013	Keith Burns Katrin Gelfert	4
+	Geodesic flows in manifolds of nonpositive curvature	2001	Patrick Eberlein	4
+ PDF Chat	Behavior of geodesic-length functions on Teichmüller space	2008	Scott A. Wolpert	3
+	Equiboundedness of the Weil-Petersson metric	2015	Scott A. Wolpert	3
+	Geodesic flow on the two-sphere part II: Ergodicity	1988	Victor J. Donnay	3
+ PDF Chat	Entropy and closed geodesies	1982	A. Katok	3
+ PDF Chat	Geodesic flows on negatively curved manifolds. II	1973	Patrick Eberlein	3
+ PDF Chat	Geometry of the Katok examples	1983	Wolfgang Ziller	3
+	Transverse Homoclinic Connections for Geodesic Flows	1995	Victor J. Donnay	3
+	Manifolds of Nonpositive Curvature	1985	Werner Ballmann Mikhael Gromov Viktor Schroeder	3
+ PDF Chat	Thermodynamics, dimension and the Weil–Petersson metric	2008	Curtis T. McMullen	3
+	Geodesic flows on closed Riemann manifolds with negative curvature	1969	D. V. Anosov	3
+	ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS	1973	A. Katok	3
+ PDF Chat	The flat strip theorem fails for surfaces with no conjugate points	1992	Keith Burns	3