The Probability that a Convex Body Intersects the Integer Lattice in a k-dimensional Set
Let K be a convex body in a"e (d) . It is known that there is a constant C (0) depending only on d such that the probability that a random copy rho(K) of K does not intersect a"currency sign (d) is smaller than C(0)/vertical bar K vertical bar and this is best possible. We show that for every k   0 and |K|-> a.
convex bodies lattices geometric probability