Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials

DOI10.1214/20-AIHP1142zbMath1483.30028arXiv1709.08961OpenAlexW3205166129MaRDI QIDQ2077362

Igor Wigman, Stephen Muirhead, Dmitri B. Beliaev

Publication date: 25 February 2022

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/1709.08961

zbMATH Keywords

percolationnodal setGaussian fieldRusso-Seymour-Welsh estimatesKostlan ensemble

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (5)

The sharp phase transition for level set percolation of smooth planar Gaussian fields ⋮ Crossing probabilities for planar percolation ⋮ Smooth Gaussian fields and percolation ⋮ Quasi-independence for nodal lines ⋮ Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)

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