Symmetric deformed binomial distributions: An analytical example where the Boltzmann-Gibbs entropy is not extensive-Reference-Cited by-同舟云学术

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Symmetric deformed binomial distributions: An analytical example where the Boltzmann-Gibbs entropy is not extensive

Published:2016-02 Issue:2 Volume:57 Page:023301
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Bergeron H.¹,Curado E. M. F.²³,Gazeau J. P.²⁴^ORCID,Rodrigues Ligia M. C. S.²

Affiliation:

1. Univ Paris-Sud, ISMO, UMR 8214, 91405 Orsay, France

2. Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil

3. Instituto Nacional de Ciência e Tecnologia–Sistemas Complexos, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil

4. APC, UMR 7164, Univ Paris Diderot, Sorbonne Paris Cité, 75205 Paris, France

Funder

FundaÃÂ§ÃÂ£o Carlos Chagas Filho de Amparo ÃÂ Pesquisa do Estado de Rio de Janeiro

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.4939917

Reference22 articles.

1. On a Generalization of the Binomial Distribution and Its Poisson-like Limit

2. Generating functions for generalized binomial distributions

3. GENERALIZED BINOMIAL DISTRIBUTIONS

4. Symmetric generalized binomial distributions

5. A Mathematical Theory of Communication

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Beyond Boltzmann–Gibbs–Shannon in Physics and Elsewhere;Entropy;2019-07-15

2. Nonlinear inhomogeneous Fokker-Planck equations: Entropy and free-energy time evolution;Physical Review E;2016-12-13

3. The limit distribution in theq-CLT for $q\,\geqslant \,1$ is unique and can not have a compact support;Journal of Physics A: Mathematical and Theoretical;2016-09-23

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