Michele Stecconi

activity

20192024

collaborators

Showing math.PRShow all

4 papers · 1 filter

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

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 $C^{2}$ ma…

math.PR2021

Isotropic random spin weighted functions on $S^{2}$ vs isotropic random fields on $S^{3}$

Michele Stecconi

We show that an isotropic random field on $S U (2)$ is not necessarily isotropic as a random field on $S^{3}$ , although the two spaces can be identified. The ambiguity is due to the fa…

math.PR2021

Kac-Rice formula for transverse intersections

Michele Stecconi

We prove a generalized Kac-Rice formula that, in a well defined regular setting, computes the expected cardinality of the preimage of a submanifold via a random map, by expressing…

Critical Points of Chi-Fields

Nodal Volumes as Differentiable Functionals of Gaussian fields

Isotropic random spin weighted functions on S2 vs isotropic random fields on S3

Kac-Rice formula for transverse intersections

Isotropic random spin weighted functions on $S^{2}$ vs isotropic random fields on $S^{3}$