TY - Type of reference TI - Generalization of statistics and algebras intended for the treatment of self-similar systems AU - Alain Le Méhauté AU - Laurent Nivanen AB - 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. DO - 10.21494/ISTE.OP.2023.0984 JF - Entropy: Thermodynamics – Energy – Environment – Economy KW - Fractal Dynamics, Non-Integer Statistics, entropy, α-exponential , Open systems, Dynamiques Fractales, Statistiques Fractionnaires, α-exponentielle, entropie, Systèmes ouverts, L1 - http://www.openscience.fr/IMG/pdf/iste_entropie23v4n2_3.pdf LA - en PB - ISTE OpenScience DA - 2023/05/30 SN - 2634-1476 TT - Généralisation de statistiques et d’algèbres destinées au traitement de systèmes fractionnaires UR - http://www.openscience.fr/Generalization-of-statistics-and-algebras-intended-for-the-treatment-of-self IS - Special issue LILA VL - 4 ER -