Concentration of mass on convex bodies
نویسنده
چکیده
We establish a sharp concentration of mass inequality for isotropic convex bodies: there exists an absolute constant c > 0 such that if K is an isotropic convex body in R, then Prob ({ x ∈ K : ‖x‖2 > c √ nLKt }) 6 exp ( − √ nt ) for every t > 1, where LK denotes the isotropic constant.
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