Results 21 to 30 of about 17,983 (296)
A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy [PDF]
Entropy (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.
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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.
Jin S +6 more
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On the estimation of topological entropy
Journal of Statistical Physics, 1993 We study here a method for estimating the topological entropy of a smooth dynamical system. Our method is based on estimating the logarithmic growth rates of suitably chosen curves in the system.
Thea Pignataro, Sheldon Newhouse
exaly +1 more source
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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The topological entropy of iterated piecewise affine maps is uncomputable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We show that it is impossible to compute (or even to approximate) the topological entropy of a continuous piecewise affine function in dimension four. The same result holds for saturated linear functions in unbounded dimension.
Pascal Koiran
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A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems
Open Mathematics, 2022 This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
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Entropy of foliations with leafwise Finsler structure [PDF]
Opuscula Mathematica, 2016 We extend the notion of the geometric entropy of foliation to foliated manifolds equipped with leafwise Finsler structure. We study the relation between the geometric entropy and the topological entropy of the holonomy pseudogroup. The case of a foliated
Ilona Michalik, Szymon Walczak
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Entropy, 2018 In this paper we consider the metric entropies of the maps of an iterated function system deduced from a black hole which are known the Bekenstein–Hawking entropies and its subleading corrections.
Christian Corda +3 more
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Entropy, 2004 : A concept of entropy production associated with continuous topological evolution is deduced (without statistics) from the fact that Cartan-Hilbert 1-form of Action defines a non-equilibrium symplectic system of Pfaff Topological dimension 2n+2.
Robert M. Kiehn
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