2022-Sustainable Industrial Processing Summit
SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics

Editors:F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis.
Publisher:Flogen Star OUTREACH
Publication date:22 December 2022
Pages:235 pages
ISBN:978-1-989820-64-3(CD)
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    Generalizing Fourier transform, central limit theorem and entropy production in the realm of nonextensive statistical mechanics

    Constantino Tsallis1;
    1GROUP OF STATISTICAL PHYSICS, CENTRO BRASILEIRO DE PESQUISAS FISICAS, , Brazil;
    Type of Paper: Regular
    Id Paper: 333
    Topic: 38

    Abstract:

    Complex phenomena in wide classes of natural, artificial and social systems can be satisfactorily handled by using mathematical concepts that emerge naturally within nonextensive statistical mechanics, based on nonadditive entropies. A brief introduction will be provided on tools such as the q-generalized Fourier transform, central limit theorem, entropy production in nonlinear dynamical systems, global optimization techniques, among others.

    Keywords:

    Mathematics; Fourier transform; central limit theorem; entropy; statistical mechanics

    References:

    See Bibliography at http://tsallis.cat.cbpf.br/biblio.htm and “Mathematical Foundations of Nonextensive Statistical Mechanics” by S. Umarov and C. Tsallis (World Scientific Publishers, Singapore, in press).

    Cite this article as:

    Tsallis C. (2022). Generalizing Fourier transform, central limit theorem and entropy production in the realm of nonextensive statistical mechanics. In F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis. (Eds.), Sustainable Industrial Processing Summit SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics (pp. 210-211). Montreal, Canada: FLOGEN Star Outreach