Results 31 to 40 of about 282,648 (277)
Topological and metric entropy for group and semigroup actions
Topological Algebra and its Applications, 2019 It is well-known that the classical definition of topological entropy for group and semigroup actions is frequently zero in some rather interesting situations, e.g. smooth actions of ℤk+ (k >1) on manifolds.
Stoyanov Luchezar
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Node Importance Ranking of Complex Networks with Entropy Variation
Entropy, 2017 The heterogeneous nature of a complex network determines the roles of each node in the network that are quite different. Mechanisms of complex networks such as spreading dynamics, cascading reactions, and network synchronization are highly affected by a ...
Xinbo Ai
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Exponential arcs in manifolds of quantum states
Frontiers in Physics, 2023 The manifold under consideration consists of the faithful normal states on a sigma-finite von Neumann algebra in standard form. Tangent planes and approximate tangent planes are discussed. A relative entropy/divergence function is assumed to be given. It
Jan Naudts
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Entanglement entropy in top-down models
, 2016 We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the ...
Jones, Peter A. R., Taylor, Marika
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Holographic Entropy on the Brane in de Sitter Schwarzschild Space [PDF]
, 2001 The relationship between the entropy of de Sitter (dS) Schwarzschild space and that of the CFT, which lives on the brane, is discussed by using Friedmann-Robertson-Walker (FRW) equations and Cardy-Verlinde formula.
Cardy J. L., SACHIKO OGUSHI
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Entropy, 2021 Classification of asynchronous elementary cellular automata (AECAs) was explored in the first place by Fates et al. (Complex Systems, 2004) who employed the asymptotic density of cells as a key metric to measure their robustness to stochastic transitions.
Qin Lei +3 more
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Metric entropy, n-widths, and sampling of functions on manifolds
, 2017 We first investigate on the asymptotics of the Kolmogorov metric entropy and nonlinear n-widths of approximation spaces on some function classes on manifolds and quasi-metric measure spaces. Secondly, we develop constructive algorithms to represent those
Ehler, Martin, Filbir, Frank
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On defining partition entropy by inequalities [PDF]
, 2007 Partition entropy is the numerical metric of uncertainty within a partition of a finite set, while conditional entropy measures the degree of difficulty in predicting a decision partition when a condition partition is provided.
He, Q, Luo, P, Lü, K, Shi, Z, Zhan, G
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Entropies, Volumes, and Einstein Metrics [PDF]
, 2011 We survey the definitions and some important properties of several asymptotic invariants of smooth manifolds, and discuss some open questions related to them. We prove that the (non-)vanishing of the minimal volume is a differentiable property, which is not invariant under homeomorphisms.
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The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law
EntropyThe area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black
Ginestra Bianconi
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