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A Network Structure Entropy Considering Series-Parallel Structures
Entropy, 2022 Entropy is an important indicator to measure network heterogeneity. We propose a new network structure entropy, SP (series-parallel) structure entropy, based on the global network topology while adding a medial measure that considers the series-parallel ...
Meng Cai, Jiaqi Liu, Ying Cui
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Entropy, 2021 Different arguments led to supposing that the deep origin of phase transitions has to be identified with suitable topological changes of potential related submanifolds of configuration space of a physical system.
Loris Di Cairano +2 more
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Entropy as a Topological Operad Derivation
Entropy, 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
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Topological aspects of generalized gravitational entropy [PDF]
Journal of High Energy Physics, 2015 The holographic prescription for computing entanglement entropy requires that the bulk extremal surface, whose area encodes the amount of entanglement, satisfies a homology constraint. Usually this is stated as the requirement of a (spacelike) interpolating surface that connects the region of interest and the extremal surface.
Haehl, Felix M. +4 more
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The proposal of a modeling methodology for an industrial internet information model [PDF]
PeerJ Computer Science, 2022 With the large distributed, autonomous, diverse, and dynamic information sources generated in the Industrial Internet area, the information model becomes the critical technology for heterogeneous data interoperability.
Sicong Yu +3 more
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Entanglement entropy and edge modes in topological string theory. Part I. Generalized entropy for closed strings [PDF]
Journal of High Energy Physics, 2021 Abstract Progress in identifying the bulk microstate interpretation of the Ryu-Takayanagi formula requires understanding how to define entanglement entropy in the bulk closed string theory. Unfortunately, entanglement and Hilbert space factorization remains poorly understood in string theory.
William Donnelly +3 more
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IEEE Access, 2022 We present a general framework for improving the chaotic properties of CMOS-based chaotic maps by cascading multiple maps in series. Along with two novel chaotic map topologies, we present the 45 $nm$ designs for four CMOS-based discrete-time chaotic ...
Partha Sarathi Paul +4 more
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Ve-Degree, Ev-Degree, and Degree-Based Topological Indices of Fenofibrate
Journal of Mathematics, 2022 The molecular topology of a graph is described by topological indices, which are numerical measures. In theoretical chemistry, topological indices are numerical quantities that are used to represent the molecular topology of networks.
Sadik Delen +6 more
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Topological entropy of generalized polygon exchanges [PDF]
Bulletin of the American Mathematical Society, 1995 We obtain geometric upper bounds on the topological entropy of generalized polygon exchange transformations. As an application of our results, we show that billiards in polygons and rational polytops have zero topological entropy.
Gutkin, Eugene, Haydn, Nicolai
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Topological entanglement entropy in d-dimensions for Abelian higher gauge theories
Journal of High Energy Physics, 2020 We compute the topological entanglement entropy for a large set of lattice models in d-dimensions. It is well known that many such quantum systems can be constructed out of lattice gauge models.
J.P. Ibieta-Jimenez +3 more
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