Xiaokai Liu

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All published works

Action	Title	Year	Authors
+	The Hopf-Tsuji-Sullivan dichotomy on visibility manifolds without conjugate points	2025	Fei Liu Xiaokai Liu Fang Wang
+	Finiteness of Bowen-Margulis-Sullivan Measures on Certain Manifolds Without Conjugate Points	2024	FEI LIU Xiaokai Liu Fang Wang
+ PDF Chat	On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points	2021	Fei Liu Xiaokai Liu Fang Wang
+	Some Dynamical Properties on Manifolds with no Conjugate Points	2021	Fei Liu Xiaokai Liu Fang Wang
+	On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points	2018	Fei Liu Xiaokai Liu Fang Wang

Common Coauthors

Coauthor	Papers Together
Fei Liu	4
Fang Wang	3
Fang Wang	1
FEI LIU	1
Fang Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Rank 1 Manifolds	1998	Gerhard Knieper	5
+ PDF Chat	On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points	2019	Fei Liu Fang Wang Weisheng Wu	4
+	Entropy-expansiveness of geodesic flows on closed manifolds without conjugate points	2016	Fei Liu Fang Wang	4
+	The transitivity of geodesic flows on rank 1 manifolds without focal points	2018	Fei Liu Xiongfeng Zhu	3
+ PDF Chat	The higher rank rigidity theorem for manifolds with no focal points	2012	Jordan Watkins	3
+ PDF Chat	On the variety of manifolds without conjugate points	1975	Robert Gulliver	3
+ PDF Chat	Riemannian manifolds without focal points	1976	John J. O’Sullivan	3
+ PDF Chat	Ergodic geometry for non-elementary rank one manifolds	2016	Jean-Claude Picaud Gabriele Link	2
+	On the mixing property for hyperbolic systems	2002	Martine Babillot	2
+	Structure of manifolds of nonpositive curvature	1985	Patrick Eberlein	2
+ PDF Chat	The ergodic theory of discrete isometry groups on manifolds of variable negative curvature	1996	Chengbo Yue	2
+	Geodesic flows on closed Riemann manifolds with negative curvature	1969	D. V. Anosov	2
+	Axial isometries of manifolds of non-positive curvature	1982	Werner Ballmann	2
+ PDF Chat	The limit set of a Fuchsian group	1976	S. J. Patterson	2
+	The topological entropy for autonomous Lagrangian systems on compact manifolds whose fundamental groups have exponential growth	2019	Fei Liu Fang Wang Weisheng Wu	2
+ PDF Chat	The density at infinity of a discrete group of hyperbolic motions	1979	Dennis Sullivan	2
+	ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS	1971	E. I. Dinaburg	2
+	TOPOLOGICAL DYNAMICS AND LOCAL PRODUCT STRUCTURE	2004	Yves Coudène	1
+	Geodesic Flows on Negatively Curved Manifolds I	1972	Patrick Eberlein	1
+	Invariant measures of the geodesic flow and measures at infinity on negatively curved manifolds	1990	Vadim A. Kaimanovich	1
+	GEOMETRY OF NONPOSITIVELY CURVED MANIFOLDS (Chicago Lectures in Mathematics)	2000	Keith Burns	1
+ PDF Chat	Unique equilibrium states for geodesic flows in nonpositive curvature	2018	Keith Burns Vaughn Climenhaga Tom Fisher Daniel J. Thompson	1
+ PDF Chat	On the stability conjecture for geodesic flows of manifolds without conjugate points	2021	Ludovic Rifford Rafael O. Ruggiero	1
+	On the ergodicity of geodesic flows on surfaces without focal points	2018	Weisheng Wu Fei Liu Fang Wang	1
+	Equilibrium states for self-products of flows and the mixing properties of rank 1 geodesic flows	2019	Benjamin Call Daniel J. Thompson	1
+ PDF Chat	Hopf-Tsuji-Sullivan dichotomy for quotients of Hadamard spaces with a rank one isometry	2018	Gabriele Link	1
+	Geodesic Flows Modelled by Expansive Flows	2018	Katrin Gelfert Rafael O. Ruggiero	1
+ PDF Chat	Ergodic properties of equilibrium measures for smooth three dimensional flows	2016	François Ledrappier Yuri Lima Omri Sarig	1
+ PDF Chat	Geometry and Dynamics in Gromov Hyperbolic Metric Spaces	2017	Tushar Das David Simmons Mariusz Urbański	1
+ PDF Chat	Flat strips, Bowen–Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces	2015	Russell Ricks	1
+ PDF Chat	The Hopf–Tsuji–Sullivan dichotomy in higher rank and applications to Anosov subgroups	2023	Marc Burger Or Landesberg Minju Lee Hee Oh	1
+	An Introduction to Ergodic Theory	1982	Peter Walters	1
+	Structure of Manifolds of Nonpositive Curvature. I	1985	Werner Ballmann Misha Brin Patrick Eberlein	1
+ PDF Chat	On the ergodicity of geodesic flows on surfaces without focal points	2023	Weisheng Wu FEI LIU Fang Wang	1
+	Potential theory in modern function theory	1959	正次辻	1
+	The Hopf-Tsuji-Sullivan Dichotomy on Visibility Manifolds Without Conjugate Points	2023	Fei Liu Xiaokai Liu Fang Wang	1
+	Chapter 6 Hyperbolic dynamics and riemannian geometry	2002	Gerhard Knieper	1
+	The Ergodic Theory of Discrete Groups	1989	Peter Nicholls	1
+ PDF Chat	Equilibrium states in negative curvature	2018	Frédéric Paulin Mark Pollicott Barbara Schapira	1
+	Maximizing entropy for a hyperbolic flow	1973	Rufus Bowen	1
+ PDF Chat	Geodesic flow of visibility manifolds	2004	Hyun Jung Kim	1
+ PDF Chat	The flat strip theorem fails for surfaces with no conjugate points	1992	Keith Burns	1
+ PDF Chat	Ergodic theory and the geodesic flow on surfaces of constant negative curvature	1971	Eberhard Hopf	1
+ PDF Chat	Geodesic flow in certain manifolds without conjugate points	1972	Patrick Eberlein	1
+	On the Asymptotic Geometry of Nonpositively Curved Manifolds	1997	Gerhard Knieper	1
+ PDF Chat	Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups	1984	Dennis Sullivan	1
+ PDF Chat	Manifolds with non-positive curvature	1985	Keith Burns A. Katok W. Ballman Michael Brin Patrick Eberlein Robert Osserman	1
+ PDF Chat	Manifolds of negative curvature	1969	Richard L. Bishop Barrett O’Neill	1
+ PDF Chat	Le bas du spectre d'une variété hyperbolique est un point selle	2007	Omar Mohsen	1
+	Weak stability of the geodesic flow and Preissmann's theorem	2000	Rafael O. Ruggiero	1