Diameter of convex sets (Bodies)‎ and concentration of measure

الملخص EN

Under the notion of concentration of measure and (LDP) we found that the diameter of a section of any convex bodies will depends basically in the isotropic constant L_K of the polar body of the convex body and we found thatdiam(K∩E)≤C√p diam(K∩K^0)where E⊂K^0.