Results 11 to 20 of about 4,536 (162)

Rényi Entropy in Statistical Mechanics [PDF]

Entropy, 2022
Rényi entropy was originally introduced in the field of information theory as a parametric relaxation of Shannon (in physics, Boltzmann–Gibbs) entropy. This has also fuelled different attempts to generalise statistical mechanics, although mostly skipping
Jesús Fuentes, Jorge Gonçalves
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The Case for Shifting the Renyi Entropy [PDF]

Entropy, 2019
We introduce a variant of the Rényi entropy definition that aligns it with the well-known Hölder mean: in the new formulation, the r-th order Rényi Entropy is the logarithm of the inverse of the r-th order Hölder mean. This brings about new insights into
Francisco J. Valverde-Albacete, Carmen Peláez-Moreno   +1 more
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From Rényi Entropy Power to Information Scan of Quantum States [PDF]

Entropy, 2021
In this paper, we generalize the notion of Shannon’s entropy power to the Rényi-entropy setting. With this, we propose generalizations of the de Bruijn identity, isoperimetric inequality, or Stam inequality. This framework not only allows for finding new
Petr Jizba, Jacob Dunningham, Martin Prokš   +2 more
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Rényi Entropy and Free Energy [PDF]

Entropy, 2022
The Rényi entropy is a generalization of the usual concept of entropy which depends on a parameter q. In fact, Rényi entropy is closely related to free energy. Suppose we start with a system in thermal equilibrium and then suddenly divide the temperature
John C. Baez
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Some new findings on the survival Rényi entropy and application of COVID-19 data [PDF]

Results in Physics, 2021
Motivated by the connotation of survival Rényi entropy and its related dynamic version, we introduce them in terms of their lower bounds and mean residual life function.
Mohamed S. Mohamed, Amani Almohaimeed, Mahmoud M. Abd El-Raouf   +2 more
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Non-Hermitian Generalization of Rényi Entropy [PDF]

Entropy, 2022
From their conception to present times, different concepts and definitions of entropy take key roles in a variety of areas from thermodynamics to information science, and they can be applied to both classical and quantum systems.
Daili Li, Chao Zheng
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A Novel Perspective of the Kalman Filter from the Rényi Entropy [PDF]

Entropy, 2020
Rényi entropy as a generalization of the Shannon entropy allows for different averaging of probabilities of a control parameter α. This paper gives a new perspective of the Kalman filter from the Rényi entropy.
Yarong Luo, Chi Guo, Shengyong You, Jingnan Liu   +3 more
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Negative Rényi entropy and brane intersection

Journal of High Energy Physics, 2023
In this work, we revisit the calculation of Rényi entropy in AdS3/(B)CFT2. We find that gravity solutions with brane intersection will lead to negative Rényi entropy.
Jia Tian, Xiaoge Xu
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On Rényi Permutation Entropy

Entropy, 2021
Among various modifications of the permutation entropy defined as the Shannon entropy of the ordinal pattern distribution underlying a system, a variant based on Rényi entropies was considered in a few papers.
Tim Gutjahr, Karsten Keller
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Rényi entropy with surface defects in six dimensions

Journal of High Energy Physics
We compute the surface defect contribution to Rényi entropy and supersymmetric Rényi entropy in six dimensions. We first compute the surface defect contribution to Rényi entropy for free fields, which verifies a previous formula about entanglement ...
Ma-Ke Yuan, Yang Zhou
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