Xiongping Dai

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All published works

Action	Title	Year	Authors
+ PDF Chat	Characterizations of open and semi-open maps of compact Hausdorff spaces by induced maps	2024	Xiongping Dai Yuxuan Xie
+ PDF Chat	Characterizations of open and semi-open maps of compact Hausdorff spaces by induced maps	2024	Xiongping Dai Yuxun Xie
+ PDF Chat	On sncc-inheritance of pointwise almost periodicity in flows	2024	Xiongping Dai
+ PDF Chat	On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics	2023	Xiongping Dai
+	On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics	2023	Xiongping Dai
+	Veech's Theorem of $G$ acting freely on $G^{\textrm{LUC}}$ and Structure Theorem of a.a. flows	2023	Xiongping Dai Hailan Liang Zhengyu Yin
+	On recurrence in zero-dimensional locally compact flow with compactly generated phase group	2022	Xiongping Dai
+ PDF Chat	On recurrence in zero-dimensional locally compact flow with compactly generated phase group	2022	Xiongping Dai
+	On recurrence in zero-dimsnional locally compact flow with compactly generated phase group	2022	Xiongping Dai
+ PDF Chat	Lifting the regionally proximal relation and characterizations of distal extensions	2021	Kai Cao Xiongping Dai
+	Characterizations of relativized distal points of topological dynamical systems	2021	Xiongping Dai Hailan Liang Zubiao Xiao
+	Almost automorphy and Veech's relations of dynamics on compact T2-spaces	2020	Xiongping Dai
+ PDF Chat	Erratum to: On Galvin’s theorem for compact Hausdorff right-topological semigroups with dense topological centers	2019	Xiongping Dai Hailan Liang
+	WITHDRAWN: Almost automorphy of surjective semiflows on compact Hausdorff spaces	2019	Xiongping Dai
+ PDF Chat	Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces	2019	Joseph Auslander Xiongping Dai
+ PDF Chat	On universal minimal proximal flows of topological groups	2018	Xiongping Dai Eli Glasner
+	Almost automorphy of invertible semiflows with compact Hausdorff phase spaces	2018	Xiongping Dai
+	On transitivity dynamics of topological semiflows	2018	Joseph Auslander Xiongping Dai
+	Uniform positive recursion frequency of any minimal dynamical system on a compact space	2018	Xiongping Dai
+	The McMahon pseudo-metrics of minimal semiflows with invariant measures	2018	Xiongping Dai
+	Almost automorphy of surjective semiflows on compact Hausdorff spaces	2018	Xiongping Dai
+	Equicontinuity, uniform almost periodicity, and regionally proximal relation for topological semiflows	2017	Xiongping Dai Zubiao Xiao
+	On Galvin’s theorem for compact Hausdorff right-topological semigroups with dense topological centers	2017	Xiongping Dai Hailan Liang
+	Chaotic dynamics of minimal center of attraction of discrete amenable group actions	2017	Zhijing Chen Xiongping Dai
+	Devaney chaos, Li–Yorke chaos, and multi-dimensional Li–Yorke chaos for topological dynamics	2017	Xiongping Dai Xinjia Tang
+	Chaotic behavior of discrete-time linear inclusion dynamical systems	2017	Xiongping Dai Tingwen Huang Yu Huang Yi Luo Gang Wang Mingqing Xiao
+ PDF Chat	A fixed point theorem of Markov-Kakutani type for a commuting family of convex multivalued maps	2017	Xiongping Dai
+ PDF Chat	Szemerédi-type theorems for subsets of locally compact abelian groups of positive upper Banach density	2017	Xiongping Dai Hailan Liang Xinjia Tang
+	Chaotic dynamics of minimal center of attraction for a flow with discrete amenable phase group	2017	Zhijing Chen Xiongping Dai
+	On universal minimal proximal flows of topological groups	2017	Xiongping Dai Eli Glasner
+	Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces	2017	Joseph Auslander Xiongping Dai
+	When is weakly almost periodic equivalent to uniformly almost periodic for semiflows?	2017	Xiongping Dai
+	Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics	2017	Xiongping Dai Xinjia Tang
+	Szemeredi-type theorems for subsets of locally compact abelian groups of positive upper Banach density	2017	Xiongping Dai Hailan Liang Xinjia Tang
+ PDF Chat	Dynamics of Bohr almost periodic motions of topological abelian semigroups	2016	Xiongping Dai
+	Exponential stability of matrix-valued Markov chains via nonignorable periodic data	2016	Xiongping Dai Tingwen Huang Yu Huang
+	Pointwise convergence of ergodic averages of bounded measurable functions for amenable groups	2016	Xiongping Dai
+	An extension of Furstenberg's structure theorem for Noetherian modules and multiple recurrence theorems III	2016	Xiongping Dai
+	Dynamics of Bohr almost periodic motions of topological abelian semigroups	2016	Xiongping Dai
+	An extension of Furstenberg's structure theorem for Noetherian modules and multiple recurrence theorems II	2016	Xiongping Dai
+	An extension of Furstenberg's structure theorem for Noetherian modules and multiple recurrence theorems I	2016	Xiongping Dai
+ PDF Chat	On uniformly recurrent motions of topological semigroup actions	2015	Xiongping Dai Bin Chen
+	On chaotic minimal center of attraction of a Lagrange stable motion for topological semi flows	2015	Xiongping Dai
+	Multiple Recurrence and Minimal Center of Attraction of a Lagrange Stable Motion for Topological Semiflows	2015	Xiongping Dai
+	Chaotic dynamics of continuous-time topological semi-flows on Polish spaces	2015	Xiongping Dai
+	Chaotic dynamics of continuous-time topological semi-flows on Polish spaces	2015	Xiongping Dai
+	Grünwald version of van der Waerden's theorem for semi-modules	2015	Xiongping Dai
+	From the First Borel–Cantelli Lemma to Poincaré's Recurrence Theorem	2015	Xiongping Dai
+	On chaotic minimal center of attraction of a Lagrange stable motion for topological semi flows	2015	Xiongping Dai
+	Pointwise Stability of Discrete-Time Stationary Matrix-Valued Markovian Processes	2014	Xiongping Dai Yu Huang Mingqing Xiao
+	Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions	2014	Xiongping Dai Tingwen Huang Yu Huang Goong Chen
+	Criterion for quasi-anosovian diffeomorphisms of closed manifolds	2014	Xiongping Dai
+ PDF Chat	Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations	2014	Xiongping Dai
+	Exponential stability of nonhomogeneous matrix-valued Markovian chains	2014	Xiongping Dai Tingwen Huang Yu Huang
+	Criterion for quasi-anosovian diffeomorphisms of closed manifolds	2014	Xiongping Dai
+	Balance times of multidimensional quasi-additive potentials for a measure-preserving semiflow	2013	Xiongping Dai
+	Spectral Finiteness Property and Splitting of State Space for Matrix-Valued Cocycles.	2013	Xiongping Dai Yu Huang Mingqing Xiao
+	Robust periodic stability implies uniform exponential stability for a random linear semiflow driven by a dynamical system with closing property.	2013	Xiongping Dai
+	Asymptotic stability of time-varying switched systems under perturbations	2013	Xiongping Dai Yu Huang Mingqing Xiao
+	Finer filtration for matrix-valued cocycle based on Oseledec's multiplicative ergodic theorem	2013	Xiongping Dai
+	Chaotic Characteristics of Discrete-time Linear Inclusion Dynamical Systems	2013	Xiongping Dai Tingwen Huang Yu Huang Mingqing Xiao
+	Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations	2013	Xiongping Dai
+	Chaotic Characteristic of Discrete-time Linear Inclusion Dynamical Systems	2013	Xiongping Dai Tingwen Huang Yu Huang Mingqing Xiao
+	Some criteria for spectral finiteness of a finite subset of the real matrix space<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mo>×</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>	2012	Xiongping Dai
+	A note on a sifting-type lemma	2012	Xiao Wen Xiongping Dai
+	Dominated splitting of differentiable dynamics with $\mathrm{C}^1$-topological weak-star property	2012	Xiongping Dai
+	Dominated splitting of differentiable dynamics with C^1-topological weak-star property	2012	Xiongping Dai
+	On C1-class local diffeomorphisms whose periodic points are nonuniformly expanding	2012	Xiongping Dai
+	Extremal ergodic measures and the finiteness property of matrix semigroups	2012	Xiongping Dai Yu Huang Mingqing Xiao
+	Some criteria for spectral finiteness of a finite subset of the real matrix space $\mathbb{R}^{d\times d}$	2012	Xiongping Dai
+	Criteria of stabilizability for switching-control systems with solvable linear approximations	2012	Xiongping Dai
+	On $\mathrm{C}^1$-class local diffeomorphisms whose periodic points are nonuniformly expanding	2012	Xiongping Dai
+ PDF Chat	Criteria of Stabilizability for Switching-Control Systems with Solvable Linear Approximations	2012	Xiongping Dai
+ PDF Chat	Finiteness property of a bounded set of matrices with uniformly sub-peripheral spectrum	2011	Xiongping Dai Victor Kozyakin
+	A Gel’fand-type spectral radius formula and stability of linear constrained switching systems	2011	Xiongping Dai
+	Pointwise stabilization of discrete-time matrix-valued stationary Markov chains	2011	Xiongping Dai Yu Huang Mingqing Xiao
+ PDF Chat	Realization of joint spectral radius via Ergodic theory	2011	Xiongping Dai Yu Huang Mingqing Xiao
+	Optimal state points of the subadditive ergodic theorem	2011	Xiongping Dai
+	Extremal and Barabanov semi-norms of a semigroup generated by a bounded family of matrices	2011	Xiongping Dai
+	Stability of time-varying nonlinear switching systems under perturbations	2011	Xiongping Dai Yu Huang Mingqing Xiao
+	A criterion of simultaneously symmetrization and spectral finiteness for a finite set of real 2-by-2 matrices	2011	Xiongping Dai
+	Extremal ergodic measures and the finiteness property of matrix semigroups	2011	Xiongping Dai Yu Huang Mingqing Xiao
+	The finite-step realizability of the joint spectral radius of a pair of $d\times d$ matrices one of which being rank-one	2011	Xiongping Dai
+	A Gel'fand-type spectral radius formula and stability of linear constrained switching systems	2011	Xiongping Dai
+	Stability Criteria via Common Non-strict Lyapunov Matrix for Discrete-time Linear Switched Systems	2011	Xiongping Dai Yu Huang Mingqing Xiao
+	Pointwise Stabilization of Discrete-time Stationary Matrix-valued Markovian Chains	2011	Xiongping Dai Yu Huang Mingqing Xiao
+	Hyperbolicity of C 1-star invariant sets for C 1-class dynamical systems	2010	Xiongping Dai
+	Almost sure stability of discrete-time switched linear systems	2010	Xiongping Dai Yu Huang Mingqing Xiao
+	Exponential closing property and approximation of Lyapunov exponents of linear cocycles	2010	Xiongping Dai
+	On the approximation of Lyapunov exponents and a question suggested by Anatole Katok	2010	Xiongping Dai
+ PDF Chat	A note on the shadowing lemma of Liao: A generalized and improved version	2010	Xiongping Dai
+	Topological formulation of discrete-time switched linear systems and almost sure stability	2008	Xiongping Dai Yu Huang Mingqing Xiao
+	Integral expressions of Lyapunov exponents for autonomous ordinary differential systems	2008	Xiongping Dai
+ PDF Chat	LIAOWISE REDUCED REORDERING AND SPECTRUM THEOREMS FOR DIFFERENTIAL SYSTEMS ON COMPACT MANIFOLDS AND APPLICATIONS	2008	Xiongping Dai Wenxiang Sun
+	A positive solution to a conjecture of A. Katok for diffeomorphism case	2008	Xiongping Dai
+	Almost Sure Stability of Discrete-Time Switched Linear Systems: A Topological Point of View	2008	Xiongping Dai Yu Huang Mingqing Xiao
+ PDF Chat	Distance entropy of dynamical systems on noncompact-phase spaces	2008	Xiongping Dai Yunping Jiang
+	Time-preserving structural stability of hyperbolic differential dynamics with noncompact phase spaces	2008	Xiongping Dai
+	Hyperbolicity and integral expression of the Lyapunov exponents for linear cocycles	2007	Xiongping Dai
+	Exponential stability of nonautonomous linear differential equations with linear perturbations by Liao methods	2006	Xiongping Dai
+	Continuous Differentiability of Solutions of ODEs with Respect to Initial Conditions	2006	Xiongping Dai
+	Continuous Differentiablity of Solutions of ODEs with Respect to Initial Conditions	2006	Xiongping Dai
+	ON THE CONTINUITY OF LIAO QUALITATIVE FUNCTIONS OF DIFFERENTIAL SYSTEMS AND APPLICATIONS	2005	Xiongping Dai
+	Existence of full-Hausdorff-dimension invariant measures of dynamical systems with dimension metrics	2005	Xiongping Dai
+	Partial linearization of differentiable systems	2005	Xiongping Dai
+ PDF Chat	Hausdorff Dimensions of Zero-Entropy Sets of Dynamical Systems with Positive Entropy	2005	Xiongping Dai Yunping Jiang
+	Standard Systems of Discrete Differentiable Dynamical Systems	2004	Xiongping Dai
+	LIAO STYLE NUMBERS OF DIFFERENTIAL SYSTEMS	2004	Xiongping Dai
+	Some relations between Hausdorff-dimensions and entropies	1998	Xiongping Dai Zuoling Zhou Xiangyi Geng
+	An equivalent condition for Anosov maps with zero entropies	1996	Xiongping Dai

Common Coauthors

Coauthor	Papers Together
Mingqing Xiao	16
Yu Huang	13
Tingwen Huang	6
Hailan Liang	6
Yu Huang	5
Xinjia Tang	4
Joseph Auslander	3
Yunping Jiang	2
Eli Glasner	2
Zubiao Xiao	2
Zhengyu Yin	1
Xiao Wen	1
Goong Chen	1
Yu Huang	1
Zuoling Zhou	1
Yi Luo	1
Yuxuan Xie	1
Victor Kozyakin	1
Wenxiang Sun	1
Zhijing Chen	1
Zhijing Chen	1
Gang Wang	1
Bin Chen	1
Yuxun Xie	1
Kai Cao	1
Xiangyi Geng	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Qualitative Theory of Differential Equations	1961	Viktor Vladimirovich Nemytskii	29
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	27
+	An Introduction to Ergodic Theory	1981	Peter Walters	23
+	Bounded semigroups of matrices	1992	Marc A. Berger Yang Wang	19
+	Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture	2001	Thierry Bousch Jean Mairesse	17
+	Extremal and Barabanov semi-norms of a semigroup generated by a bounded family of matrices	2011	Xiongping Dai	16
+	Structure of extremal trajectories of discrete linear systems and the finiteness conjecture	2007	Victor Kozyakin	16
+	Integral expressions of Lyapunov exponents for autonomous ordinary differential systems	2008	Xiongping Dai	15
+ PDF Chat	On uniformly recurrent motions of topological semigroup actions	2015	Xiongping Dai Bin Chen	15
+ PDF Chat	The topological dynamics of semigroup actions	2000	David B. Ellis Robert Ellis Mahesh Nerurkar	14
+	Asymptotic stability and generalized Gelfand spectral radius formula	1997	Mau-Hsiang Shih Jinn-Wen Wu Chin-Tzong Pang	14
+	Sets of matrices all infinite products of which converge	1992	Ingrid Daubechies Jeffrey C. Lagarias	13
+	The generalized spectral-radius theorem: An analytic-geometric proof	1995	L. Elsner	13
+	An Introduction to Ergodic Theory	1982	Peter Walters	13
+ PDF Chat	A note on sensitivity of semigroup actions	2007	Eduard Kontorovich Michael Megrelishvili	13
+	An explicit counterexample to the Lagarias–Wang finiteness conjecture	2011	Kevin G. Hare Ian D. Morris Nikita Sidorov Jacques Theys	12
+	Sensitive dependence on initial conditions	1993	Eli Glasner Bernard Weiss	11
+	On Characteristic Exponents Construction of a New Borel Set for the Multiplicative Ergodic Theorem for Vector Fields	1993	Shantao Liao	10
+	A note on the joint spectral radius	1960	Gian‐Carlo Rota W. Gilbert Strang	10
+	Optimal state points of the subadditive ergodic theorem	2011	Xiongping Dai	10
+	Semi-uniform ergodic theorems and applications to forced systems	1999	Rob Sturman J. Stark	9
+	The finiteness conjecture for the generalized spectral radius of a set of matrices	1995	Jeffrey C. Lagarias Yang Wang	9
+	Qualitative theory of differential equations	1961		8
+	Almost Sure Stability of Discrete-Time Switched Linear Systems: A Topological Point of View	2008	Xiongping Dai Yu Huang Mingqing Xiao	8
+	Ergodic Theory via Joinings	2003	Eli Glasner	8
+	Non-zero Lyapunov exponents and uniform hyperbolicity	2003	Yongluo Cao	8
+	Almost Periodic Points with Respect to Transformation Semi-Groups	1946	W. H. Gottschalk	8
+	Hyperbolicity and integral expression of the Lyapunov exponents for linear cocycles	2007	Xiongping Dai	7
+	RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY	1982	L. N. Vaserstein	7
+	On Galvin’s theorem for compact Hausdorff right-topological semigroups with dense topological centers	2017	Xiongping Dai Hailan Liang	7
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg	7
+ PDF Chat	Realization of joint spectral radius via Ergodic theory	2011	Xiongping Dai Yu Huang Mingqing Xiao	7
+	Nonsingular star flows satisfy Axiom A and the no-cycle condition	2005	Shaobo Gan Lan Wen	7
+	Devaney's chaos or 2-scattering implies Li–Yorke's chaos	2002	Wen Huang Xiangdong Ye	7
+ PDF Chat	Homomorphisms of transformation groups	1960	Robert Ellis W. H. Gottschalk	7
+ PDF Chat	Finiteness property of a bounded set of matrices with uniformly sub-peripheral spectrum	2011	Xiongping Dai Victor Kozyakin	7
+	On Growth Rates of Subadditive Functions for Semiflows	1998	Sebastian J. Schreiber	7
+	Certain Ergodic Properties of a Differential System on a Compact Differentiable Manifold	2006	Shan-tao Liao	7
+ PDF Chat	Coherent structures and isolated spectrum for Perron–Frobenius cocycles	2009	Gary Froyland S. P. Lloyd Anthony Quas	6
+	Locally almost periodic minimal flows	2008	Joseph Auslander Nelson G. Markley	6
+	Point-Distal Flows	1970	William A. Veech	6
+	Basic problems in stability and design of switched systems	1999	Daniel Liberzon A. Stephen Morse	6
+	Automorphisms and Equivalence Relations in Topological Dynamics	2014	David B. Ellis Robert Ellis	6
+	Density in Arbitrary Semigroups	2006	Neil Hindman Dona Strauss	6
+	On Li-Yorke pairs	2002	F. Blanchard Eli Glasner S. F. Kolyada Alejandro Maass	6
+	ON THE CONTINUITY OF LIAO QUALITATIVE FUNCTIONS OF DIFFERENTIAL SYSTEMS AND APPLICATIONS	2005	Xiongping Dai	6
+	An Ergodic Closing Lemma	1982	Ricardo Mañé	6
+ PDF Chat	Shadowing by non-uniformly hyperbolic periodic points and uniform hyperbolicity	2006	Armando Castro Krerley Oliveira Vilton Pinheiro	6
+ PDF Chat	Lyapunov exponents, entropy and periodic orbits for diffeomorphisms	1980	A. Katok	6
+	Duality results for the joint spectral radius and transient behavior	2008	Elmar Plischke Fabian Wirth	6