Number of critical points of a Gaussian random field: Condition for a finite variance

作者：Estrade Anne; Fournier Julie^*

来源：Statistics & Probability Letters, 2016, 118: 94-99.

DOI：10.1016/j.spl.2016.06.018

• Gaussian field
• Critical point
• Geman condition
• Crossing

We study the number of points where the gradient of a stationary Gaussian random field restricted to a compact set in R-d takes a fixed value. We extend to higher dimensions the Geman condition, a sufficient condition on the covariance function under which the variance of this random variable is finite.

• 出版日期2016-11