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We give here direct proof of a recent conjecture of Jauregui and Tsallis about a new representation of Dirac’s delta distribution by means of q-exponentials. The proof is based in the use of tempered ...
Shannon, Levy, and Tsallis: A note
Shannon entropy Gibbs extensive entropy Havrda-Charvat structural α-entropy
2010/9/13
The Tsallis nonextensive entropy of the statistical physics literature exactly matches the
previously defined Havrda-Charvat structural α-entropy of information theory. We offer
three novel results ...
Matrix Trace Inequalities on the Tsallis Entropies
Matrix trace inequality Tsallis entropy Tsallis relative entropy and maximum entropy principle
2008/6/30
Maximum entropy principles in nonextensive statistical physics are revisited as an application of the Tsallis relative entropy defined for non-negative matrices in the framework of matrix analysis. In...