Results 1 to 10 of about 928,980 (320)
Topological pseudo entropy [PDF]
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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On the Relation between Topological Entropy and Restoration Entropy [PDF]
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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Weakly fuzzy topological entropy [PDF]
In 2005, İ. Tok fuzzified the notion of the topological entropy R. A. Adler et al. (1965) using the notion of fuzzy compactness of C. L. Chang (1968).
B M Uzzal Afsan
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A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy [PDF]
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]
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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A topological kagome magnet in high entropy form
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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Non-extensive entropy and holographic thermodynamics: topological insights
In this paper, we delve into the thermodynamic topology of AdS Einstein–Gauss–Bonnet black holes, employing non-extensive entropy formulations such as Barrow, Rényi, and Sharma–Mittal entropy within two distinct frameworks: bulk boundary and restricted ...
Saeed Noori Gashti, Behnam Pourhassan
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A generalized topological entropy for analyzing the complexity of DNA sequences. [PDF]
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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Uniform entropy vs topological entropy
We discuss the connection between the topological entropy and the uniform entropy and answer several open questions from [10, 15]. We also correct several erroneous statements given in [10, 18] without proof.
Dikranjan Dikran, Kunzi Hans-Peter A.
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Topological entropy and secondary folding [PDF]
A convenient measure of a map or flow's chaotic action is the topological entropy. In many cases, the entropy has a homological origin: it is forced by the topology of the space. For example, in simple toral maps, the topological entropy is exactly equal
A. Fathi +31 more
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