43 citations · 57 across the 11 of their papers we have counts for
14 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…
Sharpness of Bernoulli percolation via couplings
Hugo Vanneuville
In this paper, we consider Bernoulli percolation on a locally finite, transitive and infinite graph (e.g. the hypercubic lattice ). We prove the following estimate, w…
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension
Hugo Duminil-Copin, Alejandro Rivera, Pierre-François Rodriguez +1
For the Bargmann--Fock field on with , we prove that the critical level of the percolation model formed by the excursion sets is…
Noise sensitivity of percolation via differential inequalities
Vincent Tassion, Hugo Vanneuville
Consider critical Bernoulli percolation in the plane. We give a new proof of the sharp noise sensitivity theorem shown by Garban, Pete and Schramm. Contrary to the previous approac…
The phase transition for planar Gaussian percolation models without FKG
Stephen Muirhead, Alejandro Rivera, Hugo Vanneuville +1
We develop techniques to study the phase transition for planar Gaussian percolation models that are not (necessarily) positively correlated. These models lack the property of posit…
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…
Quantitative quenched Voronoi percolation and applications
Hugo Vanneuville
Ahlberg, Griffiths, Morris and Tassion have proved that, asymptotically almost surely, the quenched crossing probabilities for critical planar Voronoi percolation do not depend on…
The critical threshold for Bargmann-Fock percolation
Alejandro Rivera, Hugo Vanneuville
In this article, we study the excursions sets where is a natural real-analytic planar Gaussian field called the Bargmann-Fock field. More…
Quasi-independence for nodal lines
Alejandro Rivera, Hugo Vanneuville
We prove a quasi-independence result for level sets of a planar centered stationary Gaussian field with covariance . As a first application, we study percolatio…
Exceptional times for percolation under exclusion dynamics
Christophe Garban, Hugo Vanneuville
We analyse in this paper a conservative analogue of the celebrated model of dynamical percolation introduced by Häggström, Peres and Steif in [HPS97]. It is simply defined as follo…