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All published works (41)

Action Title Date Authors
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Sequence entropy and IT-tuples for minimal group actions 2025-02-28 Chunlin Liu Xiangtong Wang Leiye Xu
Independence and mean sensitivity in minimal systems under group actions 2025-01-26 Chunlin Liu Leiye Xu S. H. Zhang
Independence, sequence entropy and mean sensitivity for ergodic group actions 2025-01-14 Chunlin Liu Leiye Xu S. H. Zhang
Discrete spectrum of probability measures for locally compact group actions 2024-12-23 Zongrui Hu Xiao Ma Leiye Xu Xiaomin Zhou
Directional Pinsker algebra and its applications 2024-10-01 Chunlin Liu Leiye Xu
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Semi-horseshoe, entropy, and partial hyperbolicity 2024-07-24 Wen Huang Xiao Ma Leiye Xu
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Pinsker $$\sigma $$-Algebra Character and Mean Li–Yorke Chaos 2024-07-22 Chunlin Liu Rongzhong Xiao Leiye Xu
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Directional Entropy and Pinsker $$\sigma $$-Algebra for $$\mathbb {Z}^{2}$$-Actions 2024-01-17 Runju Wei Leiye Xu Xiaomin Zhou
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A minimal frequently stable system is almost automorphic 2024-01-01 Zongrui Hu Leiye Xu
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Discrete spectrum for group actions 2023-07-21 Fang Xu Leiye Xu
Polynomial mean complexity and logarithmic Sarnak conjecture 2023-04-27 Wen Huang Leiye Xu Xiangdong Ye
Sequence complexity, rigidity and logarithmic Sarnak conjecture 2023-01-01 Rui Qiu Runju Wei Leiye Xu
Ergodic measures in minimal group actions with finite topological sequence entropy 2023-01-01 Xiangtong Wang Leiye Xu
Weak Mean Equicontinuity for a Countable Discrete Amenable Group Action 2022-08-26 Leiye Xu Liqi Zheng
Directional Kronecker algebra for -actions 2022-01-28 Chunlin Liu Leiye Xu
Pinsker $σ$-algebra Character and mean Li-Yorke chaos 2022-01-01 Chunlin Liu Rongzhong Xiao Leiye Xu
Directional Pinsker algebra and its applications 2022-01-01 Chunlin Liu Leiye Xu
Time-restricted sensitivity and entropy 2021-05-17 Kairan Liu Leiye Xu Ruifeng Zhang
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Directional Kronecker algebra for $\mathbb{Z}^q$-actions 2021-05-07 Chunlin Liu Leiye Xu
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The existence of semi-horseshoes for partially hyperbolic diffeomorphisms 2021-01-26 Wen Huang Jian Li Leiye Xu Xiangdong Ye
Weak mean equicontinuity for a countable discrete amenable group action 2021-01-01 Leiye Xu Liqi Zheng
Ergodic measures of intermediate entropy for affine transformations of nilmanifolds 2021-01-01 Wen Huang Leiye Xu Shengnan Xu
Lyapunov optimizing measures and periodic measures for $C^2$ expanding maps 2021-01-01 Wen Huang Leiye Xu Dawei Yang
Directional bounded complexity, mean equicontinuity and discrete spectrum for $\mathbb{Z}^q$-actions 2021-01-01 Chunlin Liu Leiye Xu
Weak Horseshoe with Bounded-Gap-Hitting Times 2020-06-03 Leiye Xu Junren Zheng
Time-restricted sensitivity and entropy 2020-01-01 Kairan Liu Leiye Xu Ruifeng Zhang
Topological entropy of nonautonomous dynamical systems 2019-12-04 Kairan Liu Yixiao Qiao Leiye Xu
Bounded complexity, mean equicontinuity and discrete spectrum 2019-10-07 Wen Huang Jian Li Jean‐Paul Thouvenot Leiye Xu Xiangdong Ye
Ergodic optimization theory for non-degenerate Axiom A flows 2019-04-24 Wen Huang Zeng Lian Xiao Ma Leiye Xu Yiwei Zhang
Ergodic optimization theory for a class of typical maps 2019-01-01 Wen Huang Zeng Lian Xiao Ma Leiye Xu Yiwei Zhang
Ergodic optimization theory for Axiom A flows 2019-01-01 Wen Huang Zeng Lian Xiao Ma Leiye Xu Yiwei Zhang
Topological entropy of nonautonomous dynamical systems 2019-01-01 Kairan Liu Yixiao Qiao Leiye Xu
Weak Horseshoe with bounded-gap-hitting times 2019-01-01 Leiye Xu Junren Zheng
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Special Flow, Weak Mixing and Complexity 2018-12-10 Wen Huang Leiye Xu
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Weighted Entropy of a Flow on Non-compact Sets 2018-10-31 Jinghua Shen Leiye Xu Xiaomin Zhou
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Möbius disjointness for topological models of ergodic measure-preserving systems with quasi-discrete spectrum 2018-09-28 Leiye Xu
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A minimal distal map on the torus with sub-exponential measure complexity 2018-08-10 Wen Huang Leiye Xu Xiangdong Ye
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Variational Principles for Entropies of Nonautonomous Dynamical Systems 2017-03-23 Leiye Xu Xiaomin Zhou
Asymptotic pairs, stable sets and chaos in positive entropy systems 2014-11-21 Wen Huang Leiye Xu Yingfei Yi
Asymptotic pairs, stable sets and chaos in positive entropy systems 2014-01-01 Wen Huang Leiye Xu Yingfei Yi
Entropy of Dynamical Systems with Repetition Property 2010-12-14 Wen Huang Leiye Xu Yingfei Yi

Commonly Cited References

Action Title Date Authors # of times referenced
Independence in topological and C*-dynamics 2007-04-02 David Kerr Hanfeng Li 10
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An Introduction to Ergodic Theory 1982-01-01 Peter Walters 8
Entropy for group endomorphisms and homogeneous spaces 1971-01-01 Rufus Bowen 7
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Measure-theoretical sensitivity and equicontinuity 2011-06-01 Wen Huang Ping Lü Xiangdong Ye 6
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A local variational relation and applications 2006-12-01 Wen Huang Xiangdong Ye 6
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Ergodic Theory via Joinings 2003-02-11 Eli Glasner 6
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms 1980-12-01 A. Katok 6
On groups with full Banach mean value 1955-12-01 Erling Følner 6
Measure complexity and Möbius disjointness 2019-03-08 Wen Huang Zhiren Wang Xiangdong Ye 5
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Measure-theoretic complexity of ergodic systems 1997-12-01 Sébastien Ferenczi 5
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On directional entropy functions 1999-12-01 Kyewon Koh Park 5
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Operator Methods in Classical Mechanics, II 1942-04-01 Paul R. Halmos John von Neumann 5
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Mean topological dimension 2000-12-01 Elon Lindenstrauss Benjamin Weiss 5
Stable sets and mean Li–Yorke chaos in positive entropy systems 2014-02-01 Wen Huang Jian Li Xiangdong Ye 5
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On local entropy 1983-01-01 Michael Brin A. Katok 4
Complexity and directional entropy in two dimensions 2016-09-01 Ryan Broderick Van Cyr Bryna Kra 4
Quasi-factors of zero-entropy systems 1995-01-01 Eli Glasner Benjamin Weiss 4
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A note on two types of Lyapunov exponents and entropies for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup></mml:math>-actions 2018-01-09 Yujun Zhu 4
Entropy Theory from the Orbital Point of View 2001-12-01 Alexandre I. Danilenko 4
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Recurrence in Ergodic Theory and Combinatorial Number Theory 1981-12-31 Harry Furstenberg 4
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Nilpotent Structures in Ergodic Theory 2018-12-11 Bernard Host Bryna Kra 4
The logarithmic Sarnak conjecture for ergodic weights 2018-03-27 Nikos Frantzikinakis Bernard Host 3
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On Li-Yorke pairs 2002-01-29 F. Blanchard Eli Glasner S. F. Kolyada Alejandro Maass 3
Mean proximality and mean Li-Yorke chaos 2016-12-22 Felipe García‐Ramos Lei Jin 3
Multiplicative functions in short intervals 2016-04-18 Kaisa Matomäki Maksym Radziwiłł 3
Homoclinic points of algebraic $\mathbb {Z}^d$-actions 1999-05-24 Douglas Lind Klaus Schmidt 3
Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy 2016-03-08 Felipe García‐Ramos 3
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Topological entropy bounds measure-theoretic entropy 1971-01-01 L. Wayne Goodwyn 3
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Optimal orbits of hyperbolic systems 1999-01-01 Guo‐Cheng Yuan Brian R. Hunt 3
Entropy, Chaos, and Weak Horseshoe for Infinite‐Dimensional Random Dynamical Systems 2017-05-03 Wen Huang Kening Lu 3
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Diffeomorphisms with Many Periodic Points 1965-12-31 Stephen T. Smale 3
Local entropy theory for a countable discrete amenable group action 2011-05-13 Wen Huang Xiangdong Ye Guohua Zhang 3
Asymptotic pairs in positive-entropy systems 2002-06-01 F. Blanchard Bernard Host Sylvie Ruette 3
Bounded complexity, mean equicontinuity and discrete spectrum 2019-10-07 Wen Huang Jian Li Jean‐Paul Thouvenot Leiye Xu Xiangdong Ye 3
Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval 1999-01-01 S. F. Kolyada Michał Misiurewicz Ľubomír Snoha 3
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INFORMATION PASTS IN GROUPS 1984-04-30 A. V. Safonov 3
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Lower bounds of the topological entropy for nonautonomous dynamical systems 2009-03-01 Jinlian Zhang Lanxin Chen 3
Positive topological entropy implies chaos DC2 2013-08-28 Tomasz Downarowicz 3
Construction d'un difféomorphisme minimal d'entropie topologique non nulle 1981-03-01 Michael R. Herman 3
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Topological and Measure-Theoretical Entropies of Nonautonomous Dynamical Systems 2016-09-22 Andrzej Biś 3
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Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures 2017-01-01 Terence Tao 3
Combinatorial Independence and Sofic Entropy 2013-02-21 David Kerr Hanfeng Li 3
Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces 2012-03-23 Zeng Lian Lai‐Sang Young 3
Metric Entropy of Nonautonomous Dynamical Systems 2013-07-11 Christoph Kawan 3
Sequence entropy pairs and complexity pairs for a measure 2004-01-01 Wen Huang Alejandro Maass Xiangdong Ye 3
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ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II) 1937-01-01 H. Davenport 3
ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS 2012-01-01 Yujun Zhu Zhaofeng Liu Xueli Xu Wenda Zhang 3
Ground states are generically a periodic orbit 2015-12-14 Gonzalo Contreras 3
Mean equicontinuity and mean sensitivity 2014-08-04 Jian Li Siming Tu Xiangdong Ye 3
THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS 2016-01-01 Terence Tao 3