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Entropies and Degree-Based Topological Indices of Generalized Sierpiński Graphs
Fractal and FractionalFractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon ...
Si-Ao Xu, Jia-Dong Si, Jia-Bao Liu
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Estimates of topological entropy of continuous maps with applications
Discrete Dynamics in Nature and Society, 2006 We present a simple theory on topological entropy of the continuous maps defined on a compact metric space, and establish some inequalities of topological entropy. As an application of the results of this paper, we give a new simple proof of chaos in the
Xiao-Song Yang, Xiaoming Bai
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An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map. [PDF]
J Stat Phys, 2023 Činč J, Troubetzkoy S.
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Topological Entropy Characterization, NMR and ESR Spectral Patterns of Coronene-Based Transition Metal Organic Frameworks. [PDF]
ACS Omega, 2023 Raza Z +4 more
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Dynamics of real projective transformations
Applied General Topology, 2018 The dynamics of a projective transformation on a real projective space are studied in this paper. The two main aspects of these transformations that are studied here are the topological entropy and the zeta function.
Sharan Gopal, Srikanth Ravulapalli
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Topological insights into black hole thermodynamics: non-extensive entropy in CFT framework
European Physical Journal C: Particles and FieldsIn this paper, we conducted an in-depth investigation into the thermodynamic topology of Einstein-Gauss-Bonnet black holes within the framework of Conformal Field Theory (CFT), considering the implications of non-extensive entropy formulations. Our study
Mohammad Ali S. Afshar +3 more
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Topological classifier for detecting the emergence of epileptic seizures
BMC Research Notes, 2018 Objective An innovative method based on topological data analysis is introduced for classifying EEG recordings of patients affected by epilepsy. We construct a topological space from a collection of EEGs signals using Persistent Homology; then, we ...
Marco Piangerelli +3 more
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On the Topological Entropy of Solenoids [PDF]
Indiana University Mathematics Journal, 1969 England, J. W., Martin, N. F. G.
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Charged topological entanglement entropy
Physical Review B, 2016 14 pages, Explanation added in section ...
Matsuura, Shunji +3 more
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