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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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Weakly fuzzy topological entropy [PDF]
Mathematica Bohemica, 2022 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]
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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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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Uniform entropy vs topological entropy
Topological Algebra and its Applications, 2015 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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Experimental observation of classical analogy of topological entanglement entropy [PDF]
Nature Communications, 2019 The experimental observation of topological entanglement entropy (TEE) remains a challenge. Here, authors propose a scheme and experimentally construct classical analogs of minimum entropy states to simulate nontrivial topological orders by observing the
Tian Chen +6 more
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Topological Entropy and Secondary Folding [PDF]
Journal of Nonlinear Science, 2012 13 pages, 8 figures.
Tumasz, Sarah, Thiffeault, Jean-Luc
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Rescaled topological entropy [PDF]
18 pages, 2 ...
Eduardo Magalhães Rego +2 more
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Topological Entanglement Entropy [PDF]
Physical Review Letters, 2006 4 pages, 3 eps figures.
Kitaev, Alexei, Preskill, John
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