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Variational Principle for Neutralized Bowen Topological Entropy
Qualitative Theory of Dynamical Systems, 2023Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as Bn(x,e-nϵ)={y∈X:d(Tjx,Tjy)
Rui Yang, Ercai Chen, Xiaoyao Zhou
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Mathematische Zeitschrift, 2021
We study topological entropy of compactly supported Hamiltonian diffeomorphisms from a perspective of persistent homology and Floer theory. We introduce barcode entropy, a Floer-theoretic invariant of a Hamiltonian diffeomorphism, measuring exponential ...
Erman Çineli +2 more
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We study topological entropy of compactly supported Hamiltonian diffeomorphisms from a perspective of persistent homology and Floer theory. We introduce barcode entropy, a Floer-theoretic invariant of a Hamiltonian diffeomorphism, measuring exponential ...
Erman Çineli +2 more
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Topological entropy of Markov set-valued functions
Ergodic Theory and Dynamical Systems, 2021We investigate the entropy for a class of upper semi-continuous set-valued functions, called Markov set-valued functions, that are a generalization of single-valued Markov interval functions. It is known that the entropy of a Markov interval function can
Lori Alvin, James P. Kelly
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Stem and topological entropy on Cayley trees
Mathematical physics, analysis and geometry, 2021We consider the existence of the topological entropy of shift spaces on a finitely generated semigroup whose Cayley graph is a tree. The considered semigroups include free groups. On the other hand, the notion of stem entropy is introduced.
Jung-Chao Ban +3 more
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Polycyclic aromatic compounds (Print), 2022
Due to its metal-free and visible-light responsive nature, as well as attractive electrical band structure and excellent physicochemical stability, graphitic carbon nitride has become a new multidisciplinary research hot point.
Zheng-Qing Chu +5 more
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Due to its metal-free and visible-light responsive nature, as well as attractive electrical band structure and excellent physicochemical stability, graphitic carbon nitride has become a new multidisciplinary research hot point.
Zheng-Qing Chu +5 more
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Calculating Topological Entropy
Journal of Statistical Physics, 1997This paper deals with the attempt to find effective algorithms for calculating the topological entropy of piecewise monotone maps of the interval having more than three pieces. The original motivation for the algorithms described in this paper is based on the following fact: If \(g\) is a piecewise monotone continuous function on the unit interval ...
Baldwin, Stewart L., Slaminka, Edward E.
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TOPOLOGICAL ENTROPY VERSUS GEODESIC ENTROPY
International Journal of Mathematics, 1994Using Yomdin's Theorem [8], we show that for a compact Riemannian manifold M, the geodesic entropy — defined as the exponential growth rate of the average number of geodesic segments between two points — is ≤ the topological entropy of the geodesic flow of M.
Paternain, Gabriel P., Paternain, Miguel
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On Topological Entropy of Switched Linear Systems with Diagonal, Triangular, and General Matrices
IEEE Conference on Decision and Control, 2018This paper introduces a notion of topological entropy for switched systems, formulated using the minimal number of initial states needed to approximate all initial states within a finite precision.
Guosong Yang, A. J. Schmidt, D. Liberzon
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