Results 1 to 10 of about 740,617 (344)
On the Relation between Topological Entropy and Restoration Entropy [PDF]
Entropy, 2018 In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem that demonstrates that for most
Christoph Kawan
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Topological pseudo entropy [PDF]
Journal of High Energy Physics, 2021 We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop insertions ...
Tatsuma Nishioka +2 more
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A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy [PDF]
Entropy, 2019 A rigorous dynamical systems-based hierarchy is established for the definitions of entropy of Shannon (information), Kolmogorov−Sinai (metric) and Adler, Konheim & McAndrew (topological).
Raymond Addabbo, Denis Blackmore
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Entropy as a Topological Operad Derivation [PDF]
Entropy, 2021 We share a small connection between information theory, algebra, and topology—namely, a correspondence between Shannon entropy and derivations of the operad of topological simplices.
Tai-Danae Bradley
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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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A topological kagome magnet in high entropy form
Communications Physics, 2022 Kagome materials have recently attracted significant attention due to their ability to house both topological and magnetic phases. Here, the authors report a high-entropy Kagome magnet that exhibits an anomalous Hall effect, indicating the nontrivial ...
Lujin Min +8 more
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A generalized topological entropy for analyzing the complexity of DNA sequences. [PDF]
PLoS ONE, 2014 Topological entropy is one of the most difficult entropies to be used to analyze the DNA sequences, due to the finite sample and high-dimensionality problems. In order to overcome these problems, a generalized topological entropy is introduced.
Shuilin Jin +6 more
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Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution. [PDF]
Entropy, 2004 : A concept of entropy production associated with continuous topological evolution is deduced (without statistics) from the fact that Cartan-Hilbert 1-form of Action defines a non-equilibrium symplectic system of Pfaff Topological dimension 2n+2.
Robert M. Kiehn
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A remark on positive topological entropy of N-buffer switched flow networks [PDF]
Discrete Dynamics in Nature and Society, 2005 We present a simpler elementary proof on positive topological entropy of the N-buffer switched flow networks based on a new simple theorem on positive topological entropy of continuous map on compact metric space.
Xiao-Song Yang
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Topological insights into black hole thermodynamics: non-extensive entropy in CFT framework [PDF]
European Physical Journal C: Particles and FieldsIn this paper, we conducted an in-depth investigation into the thermodynamic topology of Einstein-Gauss-Bonnet black holes within the framework of Conformal Field Theory (CFT), considering the implications of non-extensive entropy formulations. Our study
Mohammad Ali S. Afshar +3 more
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