Michele Stecconi

activity

20192021

collaborators

5 papers

math.DG2021

Random Differential Topology

Michele Stecconi

This manuscript collects three independent works: arXiv:1902.03805, arXiv:1906.04444, with Antonio Lerario and arXiv:2103.10853, together with some additional results, observations…

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…

math.DG2020

What is the Degree of a Smooth Hypersurface?

Antonio Lerario, Michele Stecconi

Let $D$ be a disk in $R^{n}$ and $f \in C^{r + 2} (D, R^{k})$ . We deal with the problem of the algebraic approximation of the set $j^{r} f^{- 1} (W)$ consisting of the set o…

math.DG2019

Differential Topology of Gaussian Random Fields

Antonio Lerario, Michele Stecconi

Motivated by numerous questions in random geometry, given a smooth manifold $M$ , we approach a systematic study of the differential topology of Gaussian random fields (GRF) $X:M\to…

Random Differential Topology

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

Kac-Rice formula for transverse intersections

What is the Degree of a Smooth Hypersurface?

Differential Topology of Gaussian Random Fields

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