4 papers · 1 filter
Towards Nonadditive Quantum Information Theory
Sumiyoshi Abe, A. K. Rajagopal
A definition of the nonadditive (nonextensive) conditional entropy indexed by q is presented. Based on the composition law in terms of it, the Shannon-Khinchin axioms are generaliz…
Statistical Mechanical Foundations for Systems with Nonexponential Distributions
A. K. Rajagopal, Sumiyoshi Abe
Traditionally the exponential canonical distributions of Gibbsian statistical mechanics are given theoretical justification in at least four different ways: steepest descent method…
Levy distribution in half space based on nonextensive statistical mechanics
A. K. Rajagopal, Sumiyoshi Abe
Probability distributions defined on the half space are known to be quite different from those in the full space. Here, a nonextensive entropic treatment is presented for the half…
Properties of convergence of nonextensive statistical distribution to the Levy distribution
Sumiyoshi Abe, A. K. Rajagopal
It is shown that the distribution derived from the principle of maximum Tsallis entropy is a superposable Levy-type distribution. Concomitantly, the leading order correction to the…