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q-Calculus Framework For Entropy In Multifractal Distributions

Ramandeep S. Johal
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Abstract

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.

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BibTeXRIS

Ramandeep S. Johal. 1998-03-02. q-Calculus Framework For Entropy In Multifractal Distributions. https://arxiv.org/abs/cond-mat/9803017

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