4 papers
Sparsity for isotropic spherical random fields
Giacomo Greco, Domenico Marinucci
We introduce a simple representation for isotropic spherical random fields and we discuss how it allows to discuss different notions of sparsity under isotropy. We also show how a…
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…
Fractional Cointegration of Geometric Functionals
Alessia Caponera, Domenico Marinucci, Anna Vidotto
In this paper, we show that geometric functionals (e.g., excursion area, boundary length) evaluated on excursion sets of sphere-cross-time long memory random fields can exhibit fra…
Critical Points of Chi-Fields
Domenico Marinucci, Michele Stecconi
We give here a semi-analytic formula for the density of critical values for chi random fields on a general manifold. The result uses Kac-Rice argument and a convenient representati…