5 papers
Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function
Nikolai Leonenko, Leonardo Maini, Ivan Nourdin +1
We study non-linear additive functionals of stationary Gaussian fields over anisotropically growing domains in , including spatiotemporal settings, and establish Gaus…
Expected Lipschitz-Killing curvatures for spin random fields and other non-isotropic fields
Francesca Pistolato, Michele Stecconi
Spherical spin random fields are used to model the Cosmic Microwave Background polarization, the study of which is at the heart of modern Cosmology and will be the subject of the L…
Limit theorems for -domain functionals of stationary Gaussian fields
Nikolai Leonenko, Leonardo Maini, Ivan Nourdin +1
Fix an integer and refer to it as the number of growing domains. For each , fix a compact subset where $d_1,\ldots,d_p\g…
Universal Cancellations in Uniform Random Waves
Louis Gass, Domenico Marinucci, Giovanni Peccati +2
A vast literature over the past fifteen years has been devoted to the study of the geometric properties of Gaussian random waves. In this work, we investigate the geometric behavio…
Level area of spin random fields: a chaos decomposition
Francesca Pistolato, Michele Stecconi
We study real left-invariant spin Gaussian fields on , a special class of non-isotropic random fields used to model the polarization of the Cosmic Microwave Background. Leve…