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All published works (23)

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
Directional Pinsker algebra and its applications 2024-10-01 Chunlin Liu Leiye Xu
Variational principles for metric mean dimension with potential of level sets 2024-07-23 Lucas Backes Chunlin Liu Fagner B. Rodrigues
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Metric Mean Dimension via Preimage Structures 2024-02-25 Chunlin Liu Fagner B. Rodrigues
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Directional weak mixing and applications 2024-01-01 Chunlin Liu
The irregular set for maps with almost weak specification property has full metric mean dimension 2023-12-18 Chunlin Liu Xue Liu
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Sequence entropy for amenable group actions* 2023-11-22 Chunlin Liu Kesong Yan
Sequence entropy tuples and mean sensitive tuples 2023-02-20 Jie Li Chunlin Liu Siming Tu Tao Yu
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Directional entropy dimension of topological dynamical systems 2022-06-21 Chunlin Liu Xiaomin Zhou
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Positive Density Subsets in Amenable Groups 2022-06-18 Chunlin Liu
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 dynamics of $\mathbb{Z}_+\times \mathbb{Z}$-actions generated by 1D-CA and the shift map 2022-01-01 Hasan Akın Chunlin Liu
Directional Pinsker algebra and its applications 2022-01-01 Chunlin Liu Leiye Xu
Mean Li-Yorke chaos along any infinite sequence for infinite-dimensional random dynamical systems 2022-01-01 Chunlin Liu Feng Tan Zhang Jian-hua
Sequence entropy tuples and mean sensitive tuples 2022-01-01 Jie Li Chunlin Liu Siming Tu Changyuan Yu
The irregular set for maps with almost weak specification property has full metric mean dimension 2022-01-01 Chunlin Liu Xue Liu
Directional weak mixing and sequence entropy n-tuples for a measure for $\mathbb{Z}^q$-actions 2021-06-15 Chunlin Liu
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Directional Kronecker algebra for $\mathbb{Z}^q$-actions 2021-05-07 Chunlin Liu Leiye Xu
Directional bounded complexity, mean equicontinuity and discrete spectrum for $\mathbb{Z}^q$-actions 2021-01-01 Chunlin Liu Leiye Xu
Directional weak mixing for $\mathbb{Z}^q$-actions 2021-01-01 Chunlin Liu
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Bijections between bicoloured ordered trees and non-crossing partitions. 2014-01-01 Chunlin Liu Zhenghua Wang Baodi Li
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Enumeration for spanning forests of complete bipartite graphs. 2004-01-01 Yinglie Jin Chunlin Liu

Commonly Cited References

Action Title Date Authors # of times referenced
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An Introduction to Ergodic Theory 1982-01-01 Peter Walters 7
Independence in topological and C*-dynamics 2007-04-02 David Kerr Hanfeng Li 6
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On directional entropy functions 1999-12-01 Kyewon Koh Park 6
A disjointness theorem involving topological entropy 1993-01-01 F. Blanchard 6
Sequence entropy pairs and complexity pairs for a measure 2004-01-01 Wen Huang Alejandro Maass Xiangdong Ye 6
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Sequence entropy and mixing 1977-08-01 Alan Saleski 4
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ON METRIC INVARIANTS OF ENTROPY TYPE 1967-10-31 A. G. Kushnirenko 4
Combinatorial independence in measurable dynamics 2009-01-15 David Kerr Hanfeng Li 4
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Mean topological dimension 2000-12-01 Elon Lindenstrauss Benjamin Weiss 4
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A remark on the topological entropy of homeomorphisms 1980-10-01 Koichi Yano 3
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Measure-theoretical sensitivity and equicontinuity 2011-06-01 Wen Huang Ping Lü Xiangdong Ye 3
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Ergodic Theory via Joinings 2003-02-11 Eli Glasner 3
Complexity and directional entropy in two dimensions 2016-09-01 Ryan Broderick Van Cyr Bryna Kra 3
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Combinatorial lemmas and applications to dynamics 2008-12-17 Wen Huang Xiangdong Ye 3
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Entropy pairs for a measure 1995-08-01 F. Blanchard Bernard Host Alejandro Maass Salomé Martínez Daniel J. Rudolph 3
From Rate Distortion Theory to Metric Mean Dimension: Variational Principle 2018-02-28 Elon Lindenstrauss Masaki Tsukamoto 3
Genericity of Continuous Maps with Positive Metric Mean Dimension 2021-11-02 Jeovanny de Jesus Muentes Acevedo 3
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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 3
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Null systems and sequence entropy pairs 2003-09-25 Wen Huang Shiyuan Li Song Shao X. D. YE 3
Around the variational principle for metric mean dimension 2021-01-01 Yonatan Gutman Adam Śpiewak 3
Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy 2016-03-08 Felipe García‐Ramos 2
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Nilpotent Structures in Ergodic Theory 2018-12-11 Bernard Host Bryna Kra 2
Local entropy theory for a countable discrete amenable group action 2011-05-13 Wen Huang Xiangdong Ye Guohua Zhang 2
Disjointness and weak mixing of minimal sets 1970-02-01 Karl Petersen 2
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Measures of intermediate entropies and homogeneous dynamics 2017-08-03 Lifan Guan Peng Sun Weisheng Wu 2
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A note on periodic points for ergodic toral automorphisms 1980-06-01 Brian Marcus 2
Extensions of ergodic group actions 1976-09-01 Robert J. Zimmer 2
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Tame systems and scrambled pairs under an Abelian group action 2006-07-26 Wen Huang 2
Stable sets and mean Li–Yorke chaos in positive entropy systems 2014-02-01 Wen Huang Jian Li Xiangdong Ye 2
Variational principles for topological entropies of subsets 2012-07-24 De‐Jun Feng Wen Huang 2
Ergodic Theory on Compact Spaces 1976-01-01 Manfred Denker Christian Grillenberger Karl Sigmund 2
Topological entropy of level sets of empirical measures for non-uniformly expanding maps 2017-01-01 Xueting Tian Paulo Varandas 2
Entropy dimension of measure preserving systems 2018-02-28 Dou Dou Wen Huang Kyewon Koh Park 2
The irregular set for maps with the specification property has full topological pressure 2009-08-21 Daniel J. Thompson 2
Entropy pairs of Z<sup>2</sup>and their directional properties 2004-01-01 Kyewon Koh Park Uijung Lee 2
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Probability: Theory and Examples. 1992-06-01 Kathryn Prewitt Richard Durrett 2
On the topological entropy of saturated sets 2007-02-12 C.-E. Pfister Wayne G. Sullivan 2
The almost weak specification property for ergodic group automorphisms of abelian groups 1990-04-01 Masahito Dateyama 2
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Topological entropy for divergence points 2005-05-19 Ercai Chen Tassilo Küpper Lin Shu 2
Positive topological entropy implies chaos DC2 2013-08-28 Tomasz Downarowicz 2
On the variational principle for the topological entropy of certain non-compact sets 2003-01-24 Floris Takens Evgeny Verbitskiy 2
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On the Sequence Entropy of Transformations with Quasi-Discrete Spectrum 1979-08-01 Paul Hulse 2
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Structure of bounded topological-sequence-entropy minimal systems 2007-11-15 Alejandro Maass Song Shao 2
Slow entropy type invariants and smooth realization of commuting measure-preserving transformations 1997-01-01 A. Katok Jean‐Paul Thouvenot 2
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Rank-one ℤ<sup><i>d</i></sup> actions and directional entropy 2009-12-11 E. Arthur Robinson Ayşe Şahı̇n 2
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A local variational relation and applications 2006-12-01 Wen Huang Xiangdong Ye 2
Ergodic universality of some topological dynamical systems 2015-07-10 Anthony Quas Terry Soo 2
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Entropy pairs and a local Abramov formula for a measure theoretical entropy of open covers 2004-08-01 Weimin Huang Alejandro Maass Pierre Paul Romagnoli X. Ye 2
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms 1980-12-01 A. Katok 2
On the directional entropy of Z<sup>2</sup>-actions generated by cellular automata 2002-01-01 M. Courbage B. Kamiński 2