q-Calculus Framework For Entropy In Multifractal Distributions
arXiv:cond-mat/9803017
Abstract
The connection between Tsallis entropy for a multifractal distribution and Jackson's -derivative is established. Based on this derivation and definition of a homogeneous function, a -analogue of Shannon's entropy is discussed. -additivity of this entropy is shown. We also define -analogue of Kullback relative entropy. The implications of lattice structure beneath -calculus are highlighted in the context of -entropy.
Latex, pages 8, one latex figure, e-mail: raman%[email protected]