Michele Ancona

collaborators

3 papers

math.PR2025

Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems

Michele Ancona, Louis Gass, Thomas Letendre +1

Let $f : R^{d} \to R^{k}$ be a smooth centered stationary Gaussian field and $B \subset R^{d}$ be a bounded Borel set. In this paper, we determine the…

math.DG2025

Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields

Michele Ancona, Thomas Letendre

We define a notion of multijet for functions on $R^{n}$ , which extends the classical notion of jets in the sense that the multijet of a function is defined by contact condit…

math.AG2025

Metric and spectral aspects of random complex divisors

Michele Ancona, Damien Gayet

For any integer $n \geq 2$ , we prove that for any large enough integer $d$ , with large probability the injectivity radius of a random degree $d$ complex hypersurface in $\C P^n$ is…