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arxiv: 1409.1110 · v2 · pith:N7OGFQQBnew · submitted 2014-09-03 · 🧮 math-ph · math.MP· math.OA

Golden-Thompson's inequality for deformed exponentials

classification 🧮 math-ph math.MPmath.OA
keywords deformedexponentialsgolden-thompsoninequalitycounterpartsentropiesformulatefunctions
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Deformed logarithms and their inverse functions, the deformed exponentials, are important tools in the theory of non-additive entropies and non-extensive statistical mechanics. We formulate and prove counterparts of Golden-Thompson's trace inequality for q-exponentials with parameter q in the interval [1,3].

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