Quasi-independence for nodal lines
From MaRDI portal
Publication:2337838
DOI10.1214/18-AIHP931zbMath1448.60190arXiv1711.05009OpenAlexW2976341921MaRDI QIDQ2337838
Hugo Vanneuville, Alejandro Rivera
Publication date: 20 November 2019
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05009
Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (18)
Percolation of the excursion sets of planar symmetric shot noise fields ⋮ Fluctuations of the number of excursion sets of planar Gaussian fields ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ The critical threshold for Bargmann-Fock percolation ⋮ The sharp phase transition for level set percolation of smooth planar Gaussian fields ⋮ Crossing probabilities for planar percolation ⋮ Noise sensitivity of percolation via differential inequalities ⋮ Upper bounds on the one-arm exponent for dependent percolation models ⋮ A sprinkled decoupling inequality for Gaussian processes and applications ⋮ The phase transition for planar Gaussian percolation models without FKG ⋮ Smooth Gaussian fields and percolation ⋮ Asymptotics for the critical level and a strong invariance principle for high intensity shot noise fields ⋮ Smoothness and monotonicity of the excursion set density of planar Gaussian fields ⋮ Bargmann-Fock percolation is noise sensitive ⋮ A covariance formula for topological events of smooth Gaussian fields ⋮ Mean conservation of nodal volume and connectivity measures for Gaussian ensembles ⋮ Talagrand's inequality in planar Gaussian field percolation ⋮ Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Crossing probabilities for Voronoi percolation
- Exponential rarefaction of real curves with many components
- Boundedness of level lines for two-dimensional random fields
- Percolation of random nodal lines
- The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes
- The critical probability of bond percolation on the square lattice equals 1/2
- Positively correlated normal variables are associated
- Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\)
- The box-crossing property for critical two-dimensional oriented percolation
- Crossing probabilities for critical Bernoulli percolation on slabs
- Discretisation schemes for level sets of planar Gaussian fields
- Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
- The critical threshold for Bargmann-Fock percolation
- Transportation to random zeroes by the gradient flow
- The critical probability for random Voronoi percolation in the plane is 1/2
- Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
- Fluctuations in Random Complex Zeroes: Asymptotic Normality Revisited
- Variance of the volume of random real algebraic submanifolds
- Percolation
- Probability on Graphs
- Level Sets and Extrema of Random Processes and Fields
- On the number of nodal domains of random spherical harmonics
- A note on percolation
- Percolation Probabilities on the Square Lattice
- Percolation
- Critical Percolation and the Minimal Spanning Tree in Slabs
- Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model
- Random Fields and Geometry
- Random wavefunctions and percolation
This page was built for publication: Quasi-independence for nodal lines
