Twenty Years of Kaniadakis Entropy
Entropy is publishing a Special Issue in honor of the twentieth anniversary of Kaniadakis entropy’s introduction. This then-new entropy is one of the most viable candidates for explaining the experimentally observed power-law-tailed statistical distributions in various physical, natural, and artific...
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| Formato: | Online |
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| Idioma: | inglés |
| Publicado: |
MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Acceso en liña: | ONIX_20250812T110751_9783725836499_115 |
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| _version_ | 1869520493862715392 |
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| collection | Directory of Open Access Books |
| description | Entropy is publishing a Special Issue in honor of the twentieth anniversary of Kaniadakis entropy’s introduction. This then-new entropy is one of the most viable candidates for explaining the experimentally observed power-law-tailed statistical distributions in various physical, natural, and artificial complex systems. In this reprint, readers can find information about the recent applications of Kaniadakis entropy in mechanical statistics, high-energy physics, cosmology, information geometry, biology, and economic sciences. We hope that the papers gathered in this Special Issue may inspire the reader and encourage them to continue the development of this expanding field of statistical physics. |
| format | Online |
| id | doab-20.500.12854ir-165359 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1653592025-08-12T09:24:16Z Twenty Years of Kaniadakis Entropy Hristopulos, Dionissios T. da Silva, Sergio Luiz E. F. Scarfone, Antonio orbital angular momentum Langmuir waves ion-acoustic waves κ-deformed Kaniadakis distribution function Kaniadakis entropy kappa statistics Tsallis distribution KMS relation DNA cucurbitaceae non-additive statistics Kaniadakis exponential modified lognormal distribution earthquake recurrence times Weibull distribution power-law tail precipitation flow in random media tensile strength Kaniadakis κ-statistics neutron cross-section Doppler broadening function Faddeeva function entropic kinetic energy Lotka–Volterra replicator equation relativistic Toda lattice Kaniadakis logarithm Tsallis deformation κ-deformed Lagrangian relativistic theory gravity cosmology big bang nucleosynthesis κ-deformed functions constitutive relations Gompertz rule Lotka–Volterra equations contact density dynamics nuclear reactor physics κ-Gaussian distribution optimal transport seismic imaging cycle skipping non-linear optimization Wasserstein metric inverse problems wave propagation information geometry compositional data affine displacement affine statistical bundle barycenter Kaniadakis divergence income and wealth distribution parametric modeling κ-generalized model generalized entropy H–theorem entropy production nonlinear Fokker–Planck equation κ-entropy pseudo-additivity power-law distributions relativistic statistical mechanics power-law tailed distributions κdistribution κ-exponential κ-logarithm κ-mathematics κ-deformation temperature of a moving body relativistic temperature relativistic thermodynamics n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general Entropy is publishing a Special Issue in honor of the twentieth anniversary of Kaniadakis entropy’s introduction. This then-new entropy is one of the most viable candidates for explaining the experimentally observed power-law-tailed statistical distributions in various physical, natural, and artificial complex systems. In this reprint, readers can find information about the recent applications of Kaniadakis entropy in mechanical statistics, high-energy physics, cosmology, information geometry, biology, and economic sciences. We hope that the papers gathered in this Special Issue may inspire the reader and encourage them to continue the development of this expanding field of statistical physics. 2025-08-12T09:24:14Z 2025-08-12T09:24:14Z 2025 book ONIX_20250812T110751_9783725836499_115 9783725836499 9783725836505 https://directory.doabooks.org/handle/20.500.12854/165359 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10706 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-3650-5 10.3390/books978-3-7258-3650-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725836499 9783725836505 264 open access |
| spellingShingle | orbital angular momentum Langmuir waves ion-acoustic waves κ-deformed Kaniadakis distribution function Kaniadakis entropy kappa statistics Tsallis distribution KMS relation DNA cucurbitaceae non-additive statistics Kaniadakis exponential modified lognormal distribution earthquake recurrence times Weibull distribution power-law tail precipitation flow in random media tensile strength Kaniadakis κ-statistics neutron cross-section Doppler broadening function Faddeeva function entropic kinetic energy Lotka–Volterra replicator equation relativistic Toda lattice Kaniadakis logarithm Tsallis deformation κ-deformed Lagrangian relativistic theory gravity cosmology big bang nucleosynthesis κ-deformed functions constitutive relations Gompertz rule Lotka–Volterra equations contact density dynamics nuclear reactor physics κ-Gaussian distribution optimal transport seismic imaging cycle skipping non-linear optimization Wasserstein metric inverse problems wave propagation information geometry compositional data affine displacement affine statistical bundle barycenter Kaniadakis divergence income and wealth distribution parametric modeling κ-generalized model generalized entropy H–theorem entropy production nonlinear Fokker–Planck equation κ-entropy pseudo-additivity power-law distributions relativistic statistical mechanics power-law tailed distributions κdistribution κ-exponential κ-logarithm κ-mathematics κ-deformation temperature of a moving body relativistic temperature relativistic thermodynamics n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general Twenty Years of Kaniadakis Entropy |
| title | Twenty Years of Kaniadakis Entropy |
| title_full | Twenty Years of Kaniadakis Entropy |
| title_fullStr | Twenty Years of Kaniadakis Entropy |
| title_full_unstemmed | Twenty Years of Kaniadakis Entropy |
| title_short | Twenty Years of Kaniadakis Entropy |
| title_sort | twenty years of kaniadakis entropy |
| topic | orbital angular momentum Langmuir waves ion-acoustic waves κ-deformed Kaniadakis distribution function Kaniadakis entropy kappa statistics Tsallis distribution KMS relation DNA cucurbitaceae non-additive statistics Kaniadakis exponential modified lognormal distribution earthquake recurrence times Weibull distribution power-law tail precipitation flow in random media tensile strength Kaniadakis κ-statistics neutron cross-section Doppler broadening function Faddeeva function entropic kinetic energy Lotka–Volterra replicator equation relativistic Toda lattice Kaniadakis logarithm Tsallis deformation κ-deformed Lagrangian relativistic theory gravity cosmology big bang nucleosynthesis κ-deformed functions constitutive relations Gompertz rule Lotka–Volterra equations contact density dynamics nuclear reactor physics κ-Gaussian distribution optimal transport seismic imaging cycle skipping non-linear optimization Wasserstein metric inverse problems wave propagation information geometry compositional data affine displacement affine statistical bundle barycenter Kaniadakis divergence income and wealth distribution parametric modeling κ-generalized model generalized entropy H–theorem entropy production nonlinear Fokker–Planck equation κ-entropy pseudo-additivity power-law distributions relativistic statistical mechanics power-law tailed distributions κdistribution κ-exponential κ-logarithm κ-mathematics κ-deformation temperature of a moving body relativistic temperature relativistic thermodynamics n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general |
| topic_facet | orbital angular momentum Langmuir waves ion-acoustic waves κ-deformed Kaniadakis distribution function Kaniadakis entropy kappa statistics Tsallis distribution KMS relation DNA cucurbitaceae non-additive statistics Kaniadakis exponential modified lognormal distribution earthquake recurrence times Weibull distribution power-law tail precipitation flow in random media tensile strength Kaniadakis κ-statistics neutron cross-section Doppler broadening function Faddeeva function entropic kinetic energy Lotka–Volterra replicator equation relativistic Toda lattice Kaniadakis logarithm Tsallis deformation κ-deformed Lagrangian relativistic theory gravity cosmology big bang nucleosynthesis κ-deformed functions constitutive relations Gompertz rule Lotka–Volterra equations contact density dynamics nuclear reactor physics κ-Gaussian distribution optimal transport seismic imaging cycle skipping non-linear optimization Wasserstein metric inverse problems wave propagation information geometry compositional data affine displacement affine statistical bundle barycenter Kaniadakis divergence income and wealth distribution parametric modeling κ-generalized model generalized entropy H–theorem entropy production nonlinear Fokker–Planck equation κ-entropy pseudo-additivity power-law distributions relativistic statistical mechanics power-law tailed distributions κdistribution κ-exponential κ-logarithm κ-mathematics κ-deformation temperature of a moving body relativistic temperature relativistic thermodynamics n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general |
| url | ONIX_20250812T110751_9783725836499_115 |