On the Subadditivity of the Entropy on the Sphere
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🧮 math.FA
cs.ITmath-phmath.ITmath.MP
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sphereentropymeasureasymptomaticallybehavesconditionsentropicfinding
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We present a refinement of a known entropic inequality on the sphere, finding suitable conditions under which the uniform probability measure on the sphere behaves asymptomatically like the Gaussian measure on $\mathbb{R}^N$ with respect to the entropy.
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