Results 31 to 40 of about 740,617 (344)
C0-stability of topological entropy for contactomorphisms [PDF]
, 2020 Topological entropy is not lower semi-continous: small perturbation of the dynamical system can lead to a collapse of entropy. In this note we show that for some special classes of dynamical systems (geodesic flows, Reeb flows, positive contactomorphisms)
Lucas Dahinden
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Entanglement Entropy in the Ising Model with Topological Defects. [PDF]
Physical Review Letters, 2021 Entanglement entropy (EE) contains signatures of many universal properties of conformal field theories (CFTs), especially in the presence of boundaries or defects.
A. Roy, H. Saleur
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Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions [PDF]
Journal of High Energy Physics, 2020 Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles in arbitrary ...
D. Anninos +3 more
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Topological entropy for impulsive differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A positive topological entropy is examined for impulsive differential equations via the associated Poincaré translation operators on compact subsets of Euclidean spaces and, in particular, on tori.
Jan Andres
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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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Hausdorff Dimension and Topological Entropies of a Solenoid
Entropy, 2020 The purpose of this paper is to elucidate the interrelations between three essentially different concepts: solenoids, topological entropy, and Hausdorff dimension.
Andrzej Biś, Agnieszka Namiecińska
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Ensemble-based topological entropy calculation (E-tec). [PDF]
Chaos, 2018 Topological entropy measures the number of distinguishable orbits in a dynamical system, thereby quantifying the complexity of chaotic dynamics. One approach to computing topological entropy in a two-dimensional space is to analyze the collective motion ...
Eric Roberts +3 more
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Entropy dimension of shifts of finite type on free groups
AIMS Mathematics, 2020 This paper considers the topological degree of G-shifts of finite type for the case where G is a finitely generated free group. Topological degree is the logarithm of entropy dimension; that is, topological degree is a characterization for zero entropy ...
Jung-Chao Ban, Chih-Hung Chang
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Topological order and topological entropy in classical systems [PDF]
Physical Review B, 2007 We show that the concept of topological order, introduced to describe ordered quantum systems which cannot be classified by broken symmetries, also applies to classical systems. Starting from a specific example, we show how to use pure state density matrices to construct corresponding thermally mixed ones that retain precisely half the original ...
Castelnovo, Claudio, Chamon, Claudio
openaire +5 more sources