Almost Sure Limit Theorem for the Maximum of Stationary Gaussian Vector Sequences

In the paper,we prove an almost sure convergence for the maximum of stationary Gaussion vector sequencs under the conditons rn(p)log n(log log n)1+e=O(1),rn(p,q)log n(log log n)1+e=O(1),1≤p≠q≤d.