Non-additive Entropy Formulas: Motivation and Derivations

This Special Issue reprint includes contributions about using generalized entropy in describing statistical phenomena, principally in physics, as well as interpretations and motivations for one or another type of generalizing Boltzmann’s classical (logarirthmic) entropy formula.

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collection Directory of Open Access Books
description This Special Issue reprint includes contributions about using generalized entropy in describing statistical phenomena, principally in physics, as well as interpretations and motivations for one or another type of generalizing Boltzmann’s classical (logarirthmic) entropy formula.
format Online
id doab-20.500.12854ir-137428
institution Directory of Open Access Books
language eng
publishDate 2024
publishDateRange 2024
publishDateSort 2024
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-1374282024-05-14T13:03:20Z Non-additive Entropy Formulas: Motivation and Derivations Bíró, Tamás Sándor Deppman, Airton information shift Tsallis entropy Chebyshev maps fine structure constant generalized entropies generalized logarithms duality relations entropy optimization Sq entropies entropy finite heat-bath superstatistics nonlinearity Rényi mutual information Tsallis mutual information EKC hypothesis non-additive entropy Tsallis distribution multiparticle production processes S-theorem q-renormalized entropy complexity measures logistic map micro-canonical ensemble Sq non-additive entropies indoor biosafety infection risk estimation COVID-19 SEI dynamics indoor-space epidemiology h-derivative Sh,h′-entropy fractal derivatives fractional derivatives fractional differential equations q-calculus nonextensive statistics nonlinear Fokker–Planck equations nonextensive thermostatistics n/a thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics This Special Issue reprint includes contributions about using generalized entropy in describing statistical phenomena, principally in physics, as well as interpretations and motivations for one or another type of generalizing Boltzmann’s classical (logarirthmic) entropy formula. 2024-05-14T13:03:12Z 2024-05-14T13:03:12Z 2024 book ONIX_20240514_9783036599274_31 9783036599274 9783036599281 https://directory.doabooks.org/handle/20.500.12854/137428 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/8583 https://mdpi.com/books/pdfview/book/8583 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-9928-1 10.3390/books978-3-0365-9928-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036599274 9783036599281 168 open access
spellingShingle information shift
Tsallis entropy
Chebyshev maps
fine structure constant
generalized entropies
generalized logarithms
duality relations
entropy optimization
Sq entropies
entropy
finite heat-bath
superstatistics
nonlinearity
Rényi mutual information
Tsallis mutual information
EKC hypothesis
non-additive entropy
Tsallis distribution
multiparticle production processes
S-theorem
q-renormalized entropy
complexity measures
logistic map
micro-canonical ensemble
Sq non-additive entropies
indoor biosafety
infection risk estimation
COVID-19
SEI dynamics
indoor-space epidemiology
h-derivative
Sh,h′-entropy
fractal derivatives
fractional derivatives
fractional differential equations
q-calculus
nonextensive statistics
nonlinear Fokker–Planck equations
nonextensive thermostatistics
n/a
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
Non-additive Entropy Formulas: Motivation and Derivations
title Non-additive Entropy Formulas: Motivation and Derivations
title_full Non-additive Entropy Formulas: Motivation and Derivations
title_fullStr Non-additive Entropy Formulas: Motivation and Derivations
title_full_unstemmed Non-additive Entropy Formulas: Motivation and Derivations
title_short Non-additive Entropy Formulas: Motivation and Derivations
title_sort non additive entropy formulas motivation and derivations
topic information shift
Tsallis entropy
Chebyshev maps
fine structure constant
generalized entropies
generalized logarithms
duality relations
entropy optimization
Sq entropies
entropy
finite heat-bath
superstatistics
nonlinearity
Rényi mutual information
Tsallis mutual information
EKC hypothesis
non-additive entropy
Tsallis distribution
multiparticle production processes
S-theorem
q-renormalized entropy
complexity measures
logistic map
micro-canonical ensemble
Sq non-additive entropies
indoor biosafety
infection risk estimation
COVID-19
SEI dynamics
indoor-space epidemiology
h-derivative
Sh,h′-entropy
fractal derivatives
fractional derivatives
fractional differential equations
q-calculus
nonextensive statistics
nonlinear Fokker–Planck equations
nonextensive thermostatistics
n/a
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
topic_facet information shift
Tsallis entropy
Chebyshev maps
fine structure constant
generalized entropies
generalized logarithms
duality relations
entropy optimization
Sq entropies
entropy
finite heat-bath
superstatistics
nonlinearity
Rényi mutual information
Tsallis mutual information
EKC hypothesis
non-additive entropy
Tsallis distribution
multiparticle production processes
S-theorem
q-renormalized entropy
complexity measures
logistic map
micro-canonical ensemble
Sq non-additive entropies
indoor biosafety
infection risk estimation
COVID-19
SEI dynamics
indoor-space epidemiology
h-derivative
Sh,h′-entropy
fractal derivatives
fractional derivatives
fractional differential equations
q-calculus
nonextensive statistics
nonlinear Fokker–Planck equations
nonextensive thermostatistics
n/a
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
url ONIX_20240514_9783036599274_31