Number of critical points of a Gaussian random field: Condition for a finite variance
Résumé
We study the number of points where the gradient of a stationary Gaussian random field restricted to a compact set in $\mathbb{R}^d$ 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.
Domaines
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Référence hal-01192805 Preprint Anne Estrade, Julie Fournier. FINITE VARIANCE OF THE NUMBER OF STATIONARY POINTS OF A GAUSSIAN RANDOM FIELD. 2015. ⟨hal-01192805⟩