The phase transition for planar Gaussian percolation models without FKG

Crossing probabilities for planar percolation

(2023) Laurin Köhler-Schindler et al.   DUKE MATHEMATICAL JOURNAL

Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3

(2022) Hugo Duminil-Copin et al.   ANNALS OF PROBABILITY

The sharp phase transition for level set percolation of smooth planar Gaussian fields

(2020) Stephen Muirhead et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

On the number of excursion sets of planar Gaussian fields

(2020) Dmitry Beliaev et al.   PROBABILITY THEORY AND RELATED FIELDS

Nodal Statistics of Planar Random Waves

(2019) Ivan Nourdin et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Quasi-independence for nodal lines

(2019) Alejandro Rivera et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Discretisation Schemes for Level Sets of Planar Gaussian Fields

(2018) D. Beliaev et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Central Limit Theorem for Lipschitz–Killing Curvatures of Excursion Sets of Gaussian Random Fields

(2017) Marie Kratz et al.   JOURNAL OF THEORETICAL PROBABILITY

Percolation of random nodal lines

(2017) Vincent Beffara et al.   Publications Mathematiques de l IHES

Crossing probabilities for Voronoi percolation

(2016) Vincent Tassion   ANNALS OF PROBABILITY

Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions

(2016) F. Nazarov et al.   Journal of Mathematical Physics Analysis Geometry

A 0–1 law for the massive Gaussian free field

(2016) Pierre-François Rodriguez   PROBABILITY THEORY AND RELATED FIELDS

Some superconcentration inequalities for extrema of stationary Gaussian processes

(2015) Kevin Tanguy   STATISTICS & PROBABILITY LETTERS

The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1

(2011) Vincent Beffara et al.   PROBABILITY THEORY AND RELATED FIELDS