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A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems
Open Mathematics, 2022 This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
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Variational Principle for Neutralized Bowen Topological Entropy
Qualitative Theory of Dynamical Systems, 2023 Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as $$B_n(x,e^{-nε})=\{y\in X: d(T^jx, T^jy)
Xiaoyao Zhou +2 more
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Billingsley-Type Theorem of Weighted Bowen Topological Entropy for Amenable Group Actions
MathematicsLet (Xi,di) be a compact metric space with metric di, i=1,2…,k, and G be a discrete infinitely countable amenable group. This paper is based on continuous actions G↷Xi on compact metric spaces (Xi,di).
Yuan Lian, Hongjun Liu
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Bowen topological entropy of countable infinite groups on subsets [PDF]
Scientia Sinica Mathematica, 2019 Summary: In this paper, we study dynamical systems for general infinite countable groups. In particular, for any subset \(Z\) of a compact metric space \(X\), we define the naive Bowen topological entropy for the action on this subset. We develop some basic properties of this entropy, and for actions of infinite non-amenable groups, we show that there ...
Huang, Xiaojun +2 more
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Bowen topological entropy of subsets for amenable group actions
Journal of Mathematical Analysis and Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojun Huang, Changrong Zhu
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On the Topological Entropy of Some Skew-Product Maps
Entropy, 2013 The aim of this short note is to compute the topological entropy for a family of skew-product maps, whose base is a subshift of finite type, and the fiber maps are homeomorphisms defined in one dimensional spaces.
Jose S. Cánovas
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On Bowen's definition of topological entropy
Discrete and Continuous Dynamical Systems, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological entropy on subsets for fixed-point free flows
Discrete and Continuous Dynamical Systems, 2017 By considering all possible reparametrizations of the flows instead of the time- \begin{document} $1$ \end{document} maps, we introduce Bowen topological entropy and local entropy on subsets for flows.
Hua Qiu, Meng Fan, Dou Dou
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Variational Principle for Non-additive Neutralized Bowen Topological Pressure [PDF]
Qualitative Theory of Dynamical Systems, 2023 Ovadia and Rodriguez-Hertz (Neutralized local entropy and dimension bounds for invariant measures. arXiv:2302.10874v2) defined the neutralized Bowen open ball as Bn(x,e-nε)={y∈X:d(Tj(x),Tj(y))
Congcong Qu, Lan Xu
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Universal Lower Bound on Topological Entanglement Entropy. [PDF]
Physical Review Letters, 2023 Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an area law, with a constant correction term known as the topological entanglement entropy (TEE).
Isaac H. Kim +4 more
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