@ARTICLE{10.21494/ISTE.OP.2023.0984, 

TITLE={Generalization of statistics and algebras intended for the treatment of self-similar systems}, 
  
AUTHOR={Alain Le Méhauté, Laurent Nivanen, }, 
	
JOURNAL={Entropy: Thermodynamics – Energy – Environment – Economy }, 
	
VOLUME={4}, 

NUMBER={Special issue LILA}, 
	
YEAR={2023}, 

URL={https://www.openscience.fr/Generalization-of-statistics-and-algebras-intended-for-the-treatment-of-self}, 
	
DOI={10.21494/ISTE.OP.2023.0984}, 
	
ISSN={2634-1476}, 
	
ABSTRACT={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.}}