Theory of Probability &Its Applications, Volume 65, Issue 1, Page 111-113, January 2020.
We study the form of excursions of a Gaussian stationary process intersecting a high level $u$. We show that the trajectories fluctuate in this case in a narrow tube around the expected motion. We also find an upper bound for the probability that the trajectory intersects the boundary of this tube as $u$ goes off to infinity.

中文翻译：

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高斯平稳过程的高偏移形状

概率论及其应用，第65卷，第1期，第111-113页，2020年1月。
我们研究了与高位$ u $相交的高斯平稳过程的偏移形式。我们表明，在这种情况下，轨迹在围绕预期运动的狭窄管中波动。我们还找到了当$ u $变为无穷大时，轨迹与该管的边界相交的概率的上限。