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math.PR2024
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…
math.PR2024
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…
math.PR2024
Nodal Volumes as Differentiable Functionals of Gaussian fields
Giovanni Peccati, Michele Stecconi
We characterize the absolute continuity of the law and the Malliavin-Sobolev regularity of random nodal volumes associated with smooth Gaussian fields on generic ma…