Titre : Generalization of statistics and algebras intended for the treatment of self-similar systems 

Auteurs : Alain Le Méhauté, Laurent Nivanen,  

Revue : Entropy: Thermodynamics – Energy – Environment – Economy  

Numéro : Special issue LILA 

Volume : 4 

Date : 2023/05/30 

DOI : 10.21494/ISTE.OP.2023.0984 

ISSN : 2634-1476 

Résumé : This paper is a brief presentation of the so called Non-Extensive Algebra. This algebra is related to the generalization of the exponential and logarithm functions depending on an external parameter. The relationship between these operators & this algebra and fractal geometry & the dynamics under the control of non-integer differential operators is analyzed. The different aspects of the incomplete statistics are developed using the new operators. 

Éditeur : ISTE OpenScience