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arxiv: 1001.1388 · v1 · submitted 2010-01-09 · ❄️ cond-mat.stat-mech

Matrix trace inequalities on the Tsallis entropies

classification ❄️ cond-mat.stat-mech
keywords entropymatrixtsallisinequalitiesrelativetraceaddtitionanalysis
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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 addtition, some matrix trace inequalities related to the Tsallis relative entropy are studied.

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