Results 41 to 50 of about 846,338 (367)
Characterising epithelial tissues using persistent entropy [PDF]
, 2019 In this paper, we apply persistent entropy, a novel topological statis- tic, for characterization of images of epithelial tissues. We have found out that persistent entropy is able to summarize topological and geomet- ric information encoded by ...
Atienza Martínez, María Nieves +3 more
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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
semanticscholar +1 more source
Topological entropy of free semigroup actions for noncompact sets
Discrete and Continuous Dynamical Systems. Series A, 2019 In this paper we introduce the topological entropy and lower and upper capacity topological entropies of a free semigroup action, which extends the notion of the topological entropy of a free semigroup action defined by Bufetov [ 10 ], by using the ...
Yujun Ju, Dongkui Ma, Yupan Wang
semanticscholar +1 more source
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
openaire +2 more sources
Entropy dimension of measure preserving systems
, 2018 The notion of metric entropy dimension is introduced to measure the complexity of entropy zero dynamical systems. For measure preserving systems, we define entropy dimension via the dimension of entropy generating sequences.
Dou, Dou, Huang, Wen, Park, Kyewon Koh
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Entropy and the variational principle for actions of sofic groups [PDF]
, 2010 Recently Lewis Bowen introduced a notion of entropy for measure-preserving actions of a countable sofic group on a standard probability space admitting a generating partition with finite entropy.
A.N. Kolmogorov +15 more
core +3 more sources
On topological entropy and stability of switched linear systems
International Conference on Hybrid Systems: Computation and Control, 2019 This paper studies topological entropy and stability properties of switched linear systems. First, we show that the exponential growth rates of solutions of a switched linear system are essentially upper bounded by its topological entropy.
Guosong Yang, J. Hespanha, D. Liberzon
semanticscholar +1 more source
The Topological Entropy Conjecture
Mathematics, 2021 For a compact Hausdorff space X, let J be the ordered set associated with the set of all finite open covers of X such that there exists nJ, where nJ is the dimension of X associated with ∂. Therefore, we have Hˇp(X;Z), where 0≤p≤n=nJ.
Lvlin Luo
doaj +1 more source
Entropy of foliations with leafwise Finsler structure
, 2015 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.
Michalik, Ilona, Walczak, Szymon M.
core +2 more sources
Nuclear Physics BThis study investigates the thermodynamic topology of AdS-Schwarzschild-like black holes within the framework of Loop Quantum Gravity (LQG) by employing various non-extensive entropy formulations. These include Rényi entropy, Barrow entropy, LQG entropy,
Saeed Noori Gashti +7 more
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