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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 dynamical systems, restoration entropy strictly exceeds topological entropy.
Christoph Kawan
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On the computability of the topological entropy of subshifts [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We prove that the topological entropy of subshifts having decidable language is uncomputable in the following sense: For no error bound less than 1/4 does there exists a program that, given a decision procedure for the language of a subshift as input, will approximate the entropy of the subshift within the error bound.
Jakob Grue Simonsen
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A note on topological feedback entropy and invariance entropy [PDF]
Systems & Control Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fritz Colonius +2 more
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Bekenstein-Hawking entropy as topological entanglement entropy [PDF]
Journal of High Energy Physics, 2013 15 pages, 3 figures; typos corrected, references ...
Mcgough, Lauren, Verlinde, Herman
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On the Categorical Entropy and the Topological Entropy [PDF]
International Mathematics Research Notices, 2017 To an exact endofunctor of a triangulated category with a split-generator, the notion of entropy is given by Dimitrov-Haiden-Katzarkov-Kontsevich, which is a (possibly negative infinite) real-valued function of a real variable. In this paper, we propose a conjecture which naturally generalizes the theorem by Gromov-Yomdin, and show that the categorical
Kikuta, Kohei, Takahashi, Atsushi
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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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Topology and topological sequence entropy [PDF]
Science China Mathematics, 2019 Let $X$ be a compact metric space and $T:X\longrightarrow X$ be continuous. Let $h^*(T)$ be the supremum of topological sequence entropies of $T$ over all subsequences of $\mathbb Z_+$ and $S(X)$ be the set of the values $h^*(T)$ for all continuous maps $T$ on $X$.
Snoha, L., Ye, X., Zhang, R.
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Topological Entropy and Secondary Folding [PDF]
Journal of Nonlinear Science, 2012 13 pages, 8 figures.
Sarah Tumasz, Jean-Luc Thiffeault
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Topological entropy of DNA sequences [PDF]
Bioinformatics, 2011 Abstract Motivation: Topological entropy has been one of the most difficult to implement of all the entropy-theoretic notions. This is primarily due to finite sample effects and high-dimensionality problems. In particular, topological entropy has been implemented in previous literature to conclude that entropy of exons is higher than of ...
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Tree shift topological entropy [PDF]
Theoretical Computer Science, 2018 Final version (with changed title), to appear in Theoretical Computer ...
Karl Petersen, Ibrahim Salama
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