1998/03/02 by Ramandeep S. Johal, Johal, Ramandeep S.
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9803017
Latex, pages 8, one latex figure, e-mail: raman%[email protected]
arxiv created 1998/03/02 · arxiv updated 2009/11/30
The connection between Tsallis entropy for a multifractal distribution and Jackson's q-derivative is established. Based on this derivation and definition of a homogeneous function, a q-analogue of Shannon's entropy is discussed. q-additivity of this entropy is shown. We also define q-analogue of Kullback relative entropy. The implications of lattice structure beneath q-calculus are highlighted in the context of q-entropy.