36 citations · 58 across the 14 of their papers we have counts for
15 papers
Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical -Spin Complexity
Jean-Marc Azaïs, Federico Dalmao, Yohann De Castro
This paper builds a hierarchy of explicit, non-asymptotic tail bounds for the supremum of the Kostlan--Shub--Smale (KSS) random field on the sphere, and applies it to two problems:…
Gaussian random field's anisotropy using excursion sets
Jean-Marc Azaïs, Federico Dalmao, Yohann De Castro
This paper addresses the problem of detecting and estimating the anisotropy of a stationary real-valued random field from a single realization of one of its excursion sets. This se…
Landscape k-complexity of isotropic centered Gaussian fields
Jean-Marc Azaïs, Céline Delmas
In large dimension, we study the asymptotic behavior of the mean number of critical points with index k below a level u for an isotropic centered Gaussian random field defined on a…
Multivariable CLT for critical points
Jean-Marc Azaïs, Federico Dalmao, Céline Delmas
We prove a multivariate central limit theorem for the numbers of critical points with all possible indexes which lie above a level of a non-necessarily isotropic Gaussian random fi…
Studying the winding number for stationary Gaussian processes using real variables
Jean-Marc Azaïs, Federico Dalmao, José R. León
We consider the winding number of planar stationary Gaussian processes defined on the line. Under mild conditions, we obtain the asymptotic variance and the Central Limit Theorem f…
Asymptotic formula for the conjunction probability of smooth stationary Gaussian fields
Viet-Hung Pham
Let be independent copies of a stationary centered Gaussian field with almost surely smooth sample paths. In this paper, we are…