Information Theory based on Non-additive Information Content

Details Information Theory based on Non-additive Information Content Information Theory based on Non-additive Information Content

2000-10-05

arxiv.org/abs/cond-mat/0010074v2

Physics

Condensed Matter

Statistical Mechanics

9 pages, no figures, RevTex, accepted for publication in Phys. Rev. E(an error in proof of theorem 1 was corrected, typos corr

Scientific paper

10.1103/PhysRevE.63.046105

We generalize the Shannon's information theory in a nonadditive way by focusing on the source coding theorem. The nonadditive information content we adopted is consistent with the concept of the form invariance structure of the nonextensive entropy. Some general properties of the nonadditive information entropy are studied, in addition, the relation between the nonadditivity $q$ and the codeword length is pointed out.

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