Let K be a 1-unconditional convex bodies in Euclidean spaces.We study the asymptotic properties of two affine invariants m2(K) and S2(K) for a random simplex inside K.As an application,we discuss the asymptotic pr...Let K be a 1-unconditional convex bodies in Euclidean spaces.We study the asymptotic properties of two affine invariants m2(K) and S2(K) for a random simplex inside K.As an application,we discuss the asymptotic properties of two affine invariants m2(Bpn ) and S2(Bpn ),where Bpn = {x ∈ Rn : ‖x‖ p 1}.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No.10671119)
文摘Let K be a 1-unconditional convex bodies in Euclidean spaces.We study the asymptotic properties of two affine invariants m2(K) and S2(K) for a random simplex inside K.As an application,we discuss the asymptotic properties of two affine invariants m2(Bpn ) and S2(Bpn ),where Bpn = {x ∈ Rn : ‖x‖ p 1}.