In this paper, we prove an almost sure limit theorem for the maxima of strongly dependent Gaussian sequences under some mild conditions. The result is an expansion of the weakly dependent result of E. Csaki and K. Gonchigdanzan.
"An Almost Sure Limit Theorem For the Maxima of Strongly Dependent Gaussian Sequences." Electron. Commun. Probab. 14 224 - 231, 2009. https://doi.org/10.1214/ECP.v14-1461