Results 21 to 30 of about 846,338 (367)
Reeb orbits that force topological entropy [PDF]
Ergodic Theory and Dynamical Systems, 2020 We develop a forcing theory of topological entropy for Reeb flows in dimension three. A transverse link L in a closed contact $3$ -manifold $(Y,\xi )$ is said to force topological entropy if $(Y,\xi )$ admits a Reeb flow with vanishing topological ...
Marcelo R. R. Alves, A. Pirnapasov
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Topological Properties and Entropy Calculations of Aluminophosphates
Mathematics, 2023 Topological indices are invariant numerical quantities of a graph that give facts about the structure of graphs and are found to be very helpful in predicting the physical properties of aluminophosphates.
J. S. Vijay +6 more
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Topology and topological sequence entropy [PDF]
Science China Mathematics, 2019 Let $X$ be a compact metric space and $T:X\longrightarrow X$ be continuous. Let $h^*(T)$ be the supremum of topological sequence entropies of $T$ over all subsequences of $\mathbb Z_+$ and $S(X)$ be the set of the values $h^*(T)$ for all continuous maps $T$ on $X$.
Snoha, L., Ye, X., Zhang, R.
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Topological charge-entropy scaling in kagome Chern magnet TbMn6Sn6 [PDF]
Nature Communications, 2021 In ordinary materials, electrons conduct both electricity and heat, where their charge-entropy relations observe the Mott formula and the Wiedemann-Franz law.
Xitong Xu +11 more
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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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The topological entropy of iterated piecewise affine maps is uncomputable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We show that it is impossible to compute (or even to approximate) the topological entropy of a continuous piecewise affine function in dimension four. The same result holds for saturated linear functions in unbounded dimension.
Pascal Koiran
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Domain Wall Topological Entanglement Entropy [PDF]
Physical Review Letters, 2021 5 pages, 5 ...
Bowen Shi, Isaac H. Kim
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C0-stability of topological entropy for contactomorphisms [PDF]
, 2020 Topological entropy is not lower semi-continous: small perturbation of the dynamical system can lead to a collapse of entropy. In this note we show that for some special classes of dynamical systems (geodesic flows, Reeb flows, positive contactomorphisms)
Lucas Dahinden
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Entropy and induced dynamics on state spaces [PDF]
, 2004 We consider the topological entropy of state space and quasi-state space homeomorphisms induced from C*-algebra automorphisms. Our main result asserts that, for automorphisms of separable exact C*-algebras, zero Voiculescu-Brown entropy implies zero ...
Kerr, David
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Bowen entropy for actions of amenable groups [PDF]
, 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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