Holographic Renyi entropy of 2d CFT in KdV generalized ensemble by Liangyu Chen, Anatoly Dymarsky, Jia Tian, Huajia Wang

“…In this limit holographic Renyi entropy can be computed using the so-called gluing construction. …”
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Entropy, complexity, and spectral features of EEG signals in autism and typical development: a quantitative approach by Aleksandar Tenev, Silvana Markovska-Simoska, Andreas Müller, Igor Mishkovski

“…The results showed that the ASD group had a lower brain rate, higher Tsallis entropy and Rényi entropy, and lower Lempel–Ziv complexity than the TD group. …”
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Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model by Maha A. Aldahlan

“…Some basic mathematical properties such as quantile, moments, order statistics, and Rényi entropy of the new distribution are considered. …”
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The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential by Muhammad Roshanzamir

“…Subsequently, the Tsallis entropy and Rényi entropy both in position and momentum spaces are defined under the desired potential. …”
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Error mitigation in brainbox quantum autoencoders by Joséphine Pazem, Mohammad H. Ansari

“…Finally, by analysing the Rényi entropy flow throughout the networks, we demonstrate that the localization of entanglement plays a central role in denoising through learning.…”
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Holographic boundary conformal field theory with T T ¯ $$ T\overline{T} $$ deformation by Zhi Wang, Feiyu Deng

“…For the boundary-undeformed case, we calculate the entanglement entropy and Rényi entropy from both the field theory side and the gravity side, and find that they match.…”
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Thermodynamics of Ricci-Gauss-Bonnet Dark Energy by Ayesha Iqbal, Abdul Jawad

“…For this purpose, Bekenstein entropy, Renyi entropy, logarithmic entropy, and power law entropic corrections are used. …”
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Thermodynamics of Various Entropies in Specific Modified Gravity with Particle Creation by Abdul Jawad, Shamaila Rani, Salman Rafique

“…By assuming various modified entropies (Bekenstein entropy logarithmic entropy, power law correction, and Renyi entropy), we investigate the first law of thermodynamics and generalized second law of thermodynamics on the apparent horizon. …”
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LREE of a dressed Dp-brane with transverse motion in the partially compact spacetime by Hamidreza Daniali, Davoud Kamani

“…At first we employ the replica trick to compute the Rényi entropy and then we obtain the entanglement entropy. …”
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New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications by Fatehi Yahya Eissa, Chhaya Dhanraj Sonar

“…Our research involves deriving mathematical expressions for various statistical measures, including moments, the generating function, the quantile function, and Renyi entropy. To estimate the parameters of the new family of distributions, we utilize a range of methods, including maximum likelihood, maximum product spacing, least squares, Cramer-von Mises, and Anderson–Darling estimations. …”
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Statistical mechanics and machine learning of the α-Rényi ensemble by Andrew Jreissaty, Juan Carrasquilla

“…We study the statistical physics of the classical Ising model in the so-called α-Rényi ensemble, a finite-temperature thermal state approximation that minimizes a modified free energy based on the α-Rényi entropy. We begin by characterizing its critical behavior in mean-field theory in different regimes of the Rényi index α. …”
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Modified Chen distribution: Properties, estimation, and applications in reliability analysis by M. G. M. Ghazal

“…We examined its statistical properties, such as moments, mean time to failure, mean residual life, Rényi entropy, and order statistics. Model parameters, along with survival and hazard functions, were estimated by utilizing maximum likelihood estimators and two types of bootstrap confidence intervals. …”
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Modeling Urban Growth and Form with Spatial Entropy by Yanguang Chen

“…Entropy is one of the physical bases for the fractal dimension definition, and the generalized fractal dimension was defined by Renyi entropy. Using the fractal dimension, we can describe urban growth and form and characterize spatial complexity. …”
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A Bounded Lifetime Distribution Specified by a Trigonometric Function: Properties, Regression Model, and Applications by Simon A. Ogumeyo, Festus C. Opone, Abdul Ghaniyyu Abubakari, Jacob C. Ehiwario

“…Some statistical properties of the new bounded distribution, including quantile function, ordinary moments, incomplete moments, moment-generating functions, inequality measures, Rényi entropy, and probability weighted moments are derived. …”
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A New Health Condition Detection Method for Planetary Gears Based on Modified Distributed Compressed Sensing and Multiscale Symbol Dynamic Entropy by Zhe Wu, Qiang Zhang, Zeyu Ma, Jialong Lu, Zhiying Qin

“…A distributed compression sensing parameter optimization algorithm based on Rényi entropy is proposed, which uses improved distributed compression sensing technology to simultaneously sample, compress, and denoise the multisource vibration data of rotating machinery. …”
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Entanglement negativity and replica symmetry breaking in general holographic states by Xi Dong, Jonah Kudler-Flam, Pratik Rath

“…Our argument involves an identity relating E 2 k $$ {\mathcal{E}}^{(2k)} $$ to the k-th Rényi entropy on subregion AB ∗ in the doubled state ρ AB A A ∗ BB ∗ $$ {\left.…”
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The Exponentiated Half-Logistic Family of Distributions: Properties and Applications by Gauss M. Cordeiro, Morad Alizadeh, Edwin M. M. Ortega

“…We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model. …”
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Entanglement content of kink excitations by Luca Capizzi, Michele Mazzoni

“…Second, we provide a field-theoretic framework based on the algebraic relations between the twist fields and the semilocal fields associated with the excitations, and we compute the Rényi entropies in this framework. We obtain universal predictions for the entropy difference between the excited states with a finite number of kinks and the symmetry-broken ground states, which do not depend on the microscopic details of the model in the limit of large regions. …”
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