53 citations · 175 across the 22 of their papers we have counts for
5 papers · 1 filter
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 $\C\mathbb{P}^n$…
Asymptotic topology of excursion and nodal sets of Gaussian random fields
Damien Gayet
Let M be a compact smooth manifold of dimension n with or without boundary, and f : M R be a smooth Gaussian random field. It is very natural to suppose that for a la…
Random pseudometrics and applications
Vivek Dewan, Damien Gayet
Let be a random ergodic pseudometric over . This setting generalizes the classical \emph{first passage percolation} (FPP) over . We provide simple con…
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…
Percolation of random nodal lines
Vincent Beffara, Damien Gayet
We prove a Russo-Seymour-Welsch percolation theorem for nodal domains and nodal lines associated to a natural infinite dimensional space of real analytic functions on the real plan…