Michele Stecconi

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20192025

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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.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…