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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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CeiTEA: Adaptive Hierarchy of Single Cells with Topological Entropy. [PDF]
Adv Sci (Weinh)CeiTEA, a novel hierarchical clustering algorithm based on topological entropy, effectively captures complex structures underlying data. By constructing an adaptive multi‐nary partition tree, CeiTEA reveals hierarchical structures and local diversifications, outperforming existing methods in clustering accuracy and consistency and providing the ...
Tan B, Li S, Wang M, Li SC.
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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 entropy for actions of amenable groups [PDF]
Israel Journal of Mathematics, 2016 Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimension in 1973 \cite{B}. In this paper we consider the Bowen's entropy for amenable group action dynamical systems and show that under the tempered condition, the ...
Chen, Ercai, Zheng, Dongmei
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Robust transport over networks. [PDF]
IEEE Trans Automat Contr, 2017 We consider transportation over a strongly connected, directed graph. The scheduling amounts to selecting transition probabilities for a discrete-time Markov evolution which is designed to be consistent with initial and final marginal constraints on mass
Chen Y +3 more
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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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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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, 2023 Ovadia and Rodriguez-Hertz (Neutralized local entropy, arXiv:2302.10874) defined the neutralized Bowen open ball for an autonomous dynamical system on a compact metric space. Replacing the usual Bowen open ball with neutralized Bowen open ball, we introduce the notions of neutralized Bowen topological entropy of subsets, neutralized weighted Bowen ...
Sarkooh, Javad Nazarian +3 more
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Entropy and the variational principle for actions of sofic groups [PDF]
, 2010 Recently Lewis Bowen introduced a notion of entropy for measure-preserving actions of a countable sofic group on a standard probability space admitting a generating partition with finite entropy.
A.N. Kolmogorov +15 more
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Naive entropy of dynamical systems [PDF]
, 2016 We study an invariant of dynamical systems called naive entropy, which is defined for both measurable and topological actions of any countable group.
Burton, Peter
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