Results 1 to 10 of about 928,980 (320)

Topological pseudo entropy [PDF]

open access: yesJournal 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
doaj   +7 more sources

On the Relation between Topological Entropy and Restoration Entropy [PDF]

open access: yesEntropy, 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
doaj   +4 more sources

Weakly fuzzy topological entropy [PDF]

open access: yesMathematica 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
doaj   +3 more sources

A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy [PDF]

open access: yesEntropy, 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
doaj   +2 more sources

Entropy as a Topological Operad Derivation [PDF]

open access: yesEntropy, 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
doaj   +2 more sources

A topological kagome magnet in high entropy form

open access: yesCommunications 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
doaj   +2 more sources

Non-extensive entropy and holographic thermodynamics: topological insights

open access: yesEuropean Physical Journal C: Particles and Fields
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
doaj   +2 more sources

A generalized topological entropy for analyzing the complexity of DNA sequences. [PDF]

open access: yesPLoS 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
doaj   +2 more sources

Uniform entropy vs topological entropy

open access: yesTopological 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.
doaj   +3 more sources

Topological entropy and secondary folding [PDF]

open access: yesJournal of Nonlinear Science, 2012
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
core   +2 more sources

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