The biparametric Fisher–Rényi complexity measure and its application to the multidimensional blackbody radiation

DOI10.1088/1742-5468/aa6a22zbMath1456.81115arXiv1704.08452OpenAlexW2609155920WikidataQ58362792 ScholiaQ58362792MaRDI QIDQ3303034

D. Puertas-Centeno, Irene V. Toranzo, Jesús S. Dehesera

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08452

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Uses Software

• DLMF

Cites Work

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• Monotone measures of statistical complexity
• Fisher-Shannon plane and statistical complexity of atoms
• Fisher-Rényi entropy product and information plane
• \(q\)-thermostatistics and the black-body radiation problem
• Some features of the López-Ruiz-Mancini-Calbet (LMC) statistical measure of complexity.
• Cramer--Rao information plane of orthogonal hypergeometric polynomials
• A Generalized Freud Weight
• Heisenberg-like uncertainty measures for D-dimensional hydrogenic systems at large D
• Wave Equations in Higher Dimensions
• TheN-dimensional Coulomb problem: Stark effect in hyperparabolic and hyperspherical coordinates
• CramÉr–Rao and Moment-Entropy Inequalities for Renyi Entropy and Generalized Fisher Information
• The Lambert W function and quantum statistics
• A generalized statistical complexity measure: Applications to quantum systems
• Complexity
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential
• Illuminating the blackbody
• Pauli Spin Paramagnetism and Electronic Specific Heat in Generalised d -Dimensions
• Black-body radiation with extra dimensions

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