2 papers
math.PR2026
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…
math.PR2026
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…