Results 21 to 30 of about 282,648 (277)
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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Symplectomorphisms with positive metric entropy
Proceedings of the London Mathematical Society, 2022 We obtain a dichotomy for $C^1$-generic symplectomorphisms: either all the Lyapunov exponents of almost every point vanish, or the map is partially hyperbolic and ergodic with respect to volume. This completes a program first put forth by Ricardo Ma .
Avila, Artur +2 more
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Canonical Energy is Quantum Fisher Information [PDF]
, 2016 In quantum information theory, Fisher Information is a natural metric on the space of perturbations to a density matrix, defined by calculating the relative entropy with the unperturbed state at quadratic order in perturbations. In gravitational physics,
Lashkari, Nima, Van Raamsdonk, Mark
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The Maximum Entropy of a Metric Space [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractWe define a one-parameter family of entropies, each assigning a real number to any probability measure on a compact metric space (or, more generally, a compact Hausdorff space with a notion of similarity between points). These generalize the Shannon and Rényi entropies of information theory.
Leinster, Tom, Roff, Emily
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Entropy increases at linear order in scalar-hairy Lovelock gravity
Journal of High Energy Physics, 2020 In this paper, we investigate the second law of the black holes in Lovelock gravity sourced by a conformally coupled scalar field under the first-order approximation when the perturbation matter fields satisfy the null energy condition.
Jie Jiang, Ming Zhang
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Diffeomorphisms with positive metric entropy [PDF]
Publications mathématiques de l'IHÉS, 2016 24 pages, 2 figures. The original arXiv submission has been split into two parts, this new version corresponds to the first part.
Avila, A., Crovisier, S., Wilkinson, A.
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Metric entropy in linear inverse scattering
Advanced Electromagnetics, 2016 The role of multiple views and/or multiple frequencies on the achievable performance in linear inverse scattering problems is addressed. To this end, the impact of views and frequencies on the Kolmogorov entropy measure is studied.
M. A. Maisto, R. Solimene, R. Pierri
doaj +1 more source
The Entropy of Co-Compact Open Covers
Entropy, 2013 Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required).
Steven Bourquin +4 more
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Natural Metric for Quantum Information Theory
, 2009 We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative ...
Constantinescu T. +5 more
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Entropy production and the geometry of dissipative evolution equations [PDF]
, 2015 Purely dissipative evolution equations are often cast as gradient flow structures, $\dot{\mathbf{z}}=K(\mathbf{z})DS(\mathbf{z})$, where the variable $\mathbf{z}$ of interest evolves towards the maximum of a functional $S$ according to a metric defined ...
Reina, Celia, Zimmer, Johannes
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