关于对数凹函数的随机单纯形体积不等式

The Volume Inequality of Random Simplices of Log-Concave Functions

过去,关于凸体的随机单纯形体积不等式已经被证明,当1 ≤ k ∗相等;当k = n时,等号成立的充要条件是f(x)=f∗(Ax),A∈SL(n)。

In the past, the volume inequality of random simplex on convex bodies has been proved, when 1 ≤ k ∗;when k = n, the necessary and sufficient conditions for the equality sign to hold are that f(x)=f∗(Ax), A∈SL(n).