On the Subadditivity of the Entropy on the Sphere

Einav, Amit (2015-11-17)


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 Rᴺ with respect to the entropy. Additionally, we remark about the connection between this inequality and the investigation of the many-body Cercignani’s conjecture.