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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.PR2021
Isotropic random spin weighted functions on vs isotropic random fields on
Michele Stecconi
We show that an isotropic random field on is not necessarily isotropic as a random field on , 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…