Michele Ancona

activity

20172025

most citedZeros of smooth stationary Gaussian processes

5 citations · 12 across the 13 of their papers we have counts for

collaborators

14 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.AG2023

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…

math.DG2023★ 3 cited

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.CV2022

Berezin-Toeplitz operators, Kodaira maps, and random sections

Michele Ancona, Yohann Le Floch

We study the zeros of sections of the form $T_{k} s_{k}$ of a large power $L^{\otimes k} \to M$ of a holomorphic positive Hermitian line bundle over a compact K\''ahler manifold $M$ , w…

math.AG2022★ 1 cited

Existence of real algebraic hypersurfaces with many prescribed components

Michele Ancona

Given a real algebraic variety $X$ of dimension $n$ , a very ample divisor $D$ on $X$ and a smooth closed hypersurface $Σ$ of $R^{n}$ , we construct real algebraic hypersurfac…

math.SG2021

Symplectic Instability of Bézout's Theorem

Michele Ancona, Antonio Lerario

We investigate the failure of Bézout's Theorem for two symplectic surfaces in $C P^{2}$ (and more generally on an algebraic surface), by proving that every plane alg…