Bargmann-Fock percolation is noise sensitive

DOI10.1214/20-EJP491zbMath1459.60197arXiv1906.02666OpenAlexW3049737923MaRDI QIDQ2201513

Christophe Garban, Hugo Vanneuville

Publication date: 29 September 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02666

zbMATH Keywords

percolationnoise sensitivityrandomized algorithmsGaussian fields

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (7)

Spatial networks and percolation. Abstracts from the workshop held January 17--23, 2021 (hybrid meeting) ⋮ Boundedness of the nodal domains of additive Gaussian fields ⋮ Noise sensitivity of percolation via differential inequalities ⋮ Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees ⋮ Upper bounds on the one-arm exponent for dependent percolation models ⋮ The phase transition for planar Gaussian percolation models without FKG ⋮ Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)

Cites Work

• Geometric influences
• Noise sensitivity in continuum percolation
• Polynomial chaos and scaling limits of disordered systems
• The Fourier spectrum of critical percolation
• Boundedness of level lines for two-dimensional random fields
• Percolation of random nodal lines
• Quenched Voronoi percolation
• Quantitative noise sensitivity and exceptional times for percolation
• Exceptional planes of percolation
• Dynamical percolation
• Critical exponents for two-dimensional percolation
• Sharp phase transition for the random-cluster and Potts models via decision trees
• Discretisation schemes for level sets of planar Gaussian fields
• One-arm exponent for critical 2D percolation
• Noise sensitivity and Voronoi percolation
• The critical threshold for Bargmann-Fock percolation
• The sharp phase transition for level set percolation of smooth planar Gaussian fields
• Quasi-independence for nodal lines
• The critical probability for random Voronoi percolation in the plane is 1/2
• SLE description of the nodal lines of random wavefunctions
• Level Sets and Extrema of Random Processes and Fields
• Gaussian Hilbert Spaces
• Noise Sensitivity of Boolean Functions and Percolation
• Random wavefunctions and percolation
• Scattered Data Approximation
• Noise sensitivity of Boolean functions and applications to percolation

This page was built for publication: Bargmann-Fock percolation is noise sensitive