10 citations · 10 across the 2 of their papers we have counts for
5 papers
Percolation without FKG
Vincent Beffara, Damien Gayet
We prove a Russo-Seymour-Welsh theorem for the antiferromagnetic Ising model with small parameter on a regular enough periodic planar triangulation. More generally we prove that th…
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…
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…
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 $\C\mathbb{P}^n$…