80 citations · 180 across the 4 of their papers we have counts for
4 papers
Rates of convergence of nonextensive statistical distributions to Levy distributions in full and half spaces
Sumiyoshi Abe, A. K. Rajagopal
The Levy-type distributions are derived using the principle of maximum Tsallis nonextensive entropy both in the full and half spaces. The rates of convergence to the exact Levy sta…
Microcanonical Foundation for Systems with Power-Law Distributions
Sumiyoshi Abe, and A. K. Rajagopal
Starting from microcanonical basis with the principle of equal a priori probability, it is found that, besides ordinary Boltzmann-Gibbs theory with the exponential distribution, a…
Nonuniqueness of Canonical Ensemble Theory arising from Microcanonical Basis
Sumiyoshi Abe, A. K. Rajagopal
Given physical systems, counting rule for their statistical mechanical descriptions need not be unique, in general. It is shown that this nonuniqueness leads to the existence of va…
Quantum entanglement inferred by the principle of maximum Tsallis entropy
Sumiyoshi Abe, A. K. Rajagopal
The problem of quantum state inference and the concept of quantum entanglement are studied using a non-additive measure in the form of Tsallis entropy indexed by the positive param…