English

Information theory and generalized statistics

Statistical Mechanics 2015-06-24 v1 High Energy Physics - Theory Mathematical Physics math.MP Quantum Physics

Abstract

We present a discussion of generalized statistics based on Renyi's, Fisher's and Tsallis's measures of information. The unifying conceptual framework which we employ here is provided by information theory. Important applications of generalized statistics to systems with (multi-)fractal structure are examined.

Keywords

Cite

@article{arxiv.cond-mat/0301343,
  title  = {Information theory and generalized statistics},
  author = {Petr Jizba},
  journal= {arXiv preprint arXiv:cond-mat/0301343},
  year   = {2015}
}

Comments

Invited talk at the International Workshop DICE2002 "Decoherence, Information, Complexity and Entropy" - Piombino (Tuscany), September 2-6, 2002