53 citations · 175 across the 22 of their papers we have counts for
25 papers
A recursion for the volume of the moduli space of hyperbolic spheres
Michele Ancona, Damien Gayet
We prove the existence of a non-linear recursive relation for the volume of the moduli space of hyperbolic spheres with conical points or geodesic boundaries. This relation general…
Lower bound for the Cheeger constant of random complex curves
Michele Ancona, Damien Gayet
In this paper, we provide a lower bound for the Cheeger constant and the spectral gap for random complex curves in $\C P^2$. The complex curve is endowed with the restriction of th…
On the curvatures of random complex submanifolds
Michele Ancona, Damien Gayet
For any integers and satisfying , we show that the expected volume fraction of a random degree complex submanifold of $\C\mathbb{P}^n$…
How curved is a random complex curve?
Michele Ancona, Damien Gayet
In this paper, we study the curvature properties of random complex plane curves. We bound from below the probability that a uniform proportion of the area of a random complex degre…
Metric and spectral aspects of random complex divisors
Michele Ancona, Damien Gayet
For any integer , we prove that for any large enough integer , with large probability the injectivity radius of a random degree complex hypersurface in $\C P^n$ is…
Expected local topology of random complex submanifolds
Damien Gayet
Let and be integers, be a compact smooth K\''ahler manifold of complex dimension , be a holomorphic vector bundle with complex rank $…