On the Subadditivity of the Entropy on the Sphere
نویسنده
چکیده
We present a refinement of a known entropic inequality on the sphere, finding suitable conditions underwhich the uniformprobabilitymeasure on the sphere behaves asymptomatically like the Gaussian measure on R N with respect to the entropy. Additionally, we remark about the connection between this inequality and a the investigation of themany body Cercignani’s conjecture.
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