Séminaire Analyse Harmonique
The anisotropy of 2D Gaussian random fields through their Lipschitz-Killing curvature densities
Feb. 2024
Intervenant : Hermine Biermé
Institution : Université de Tours
Heure : 14h00 - 15h00
Lieu : salle 2L8

I will present a joint work with Agnès Desolneux (CNRS, Centre Borelli, ENS Paris-Saclay) on the geometry of excursion sets of smooth stationary Gaussian fields.

In this work we focus on the effect of anisotropy on their Lipschitz-Killing curvature densities (close from area, perimeter and Euler characteristics of excursion sets) and propose a new geometrical index of anisotropy, closely linked with isoperimetric inequalities.

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