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

open access: yesEntropy (Basel), 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
Kawan C.
europepmc   +7 more sources

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

open access: yesEntropy (Basel), 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).
Addabbo R, Blackmore D.
europepmc   +3 more sources

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   +2 more sources

Adjoint entropy vs topological entropy [PDF]

open access: yesTopology and its Applications, 2012
18 ...
GIORDANO BRUNO, Anna   +2 more
openaire   +5 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

Topological entropy [PDF]

open access: yesTransactions of the American Mathematical Society, 1965
summary: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).
Adler, R. L.   +2 more
core   +5 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   +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

On Meta-Geometric Gravity, Emergent Holography and Naturalness. [PDF]

open access: yesEntropy (Basel)
We show that a discrete quantization law for cosmological entropy emerges naturally within a meta-geometric gauge theory of gravity, when the standard de Sitter entropy relation is combined with the topological structure of the theory.
Addazi A.
europepmc   +2 more sources

Topological Entropy of Cournot-Puu Duopoly

open access: yesDiscrete Dynamics in Nature and Society, 2010
The aim of this paper is to analyze a classical duopoly model introduced by Tönu Puu in 1991. For that, we compute the topological entropy of the model and characterize those parameter values with positive entropy.
Jose S. Cánovas, David López Medina
doaj   +2 more sources

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