6 papers
Noise sensitivity of crossings for high temperature Ising model
Vincent Tassion, Hugo Vanneuville
Consider the event that there is a crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber…
Exponential decay of the volume for Bernoulli percolation: a proof via stochastic comparison
Hugo Vanneuville
Let us consider subcritical Bernoulli percolation on a connected, transitive, infinite and locally finite graph. In this paper, we propose a new (and short) proof of the exponentia…
The annealed spectral sample of Voronoi percolation
Hugo Vanneuville
In this paper, we introduce and study the annealed spectral sample of Voronoi percolation, which is a continuous and finite point process in whose definition is most…
Bargmann-Fock percolation is noise sensitive
Christophe Garban, Hugo Vanneuville
We show that planar Bargmann-Fock percolation is noise sensitive under the Ornstein-Ulhenbeck process. The proof is based on the randomized algorithm approach introduced by Schramm…
The sharp phase transition for level set percolation of smooth planar Gaussian fields
Stephen Muirhead, Hugo Vanneuville
We prove that the connectivity of the level sets of a wide class of smooth centred planar Gaussian fields exhibits a phase transition at the zero level that is analogous to the pha…
Annealed scaling relations for Voronoi percolation
Hugo Vanneuville
We prove annealed scaling relations for planar Voronoi percolation. To our knowledge, this is the first result of this kind for a continuum percolation model. We are mostly inspire…