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Smooth Gaussian fields and percolation (Q6183891)

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scientific article; zbMATH DE number 7783645

Language	Label	Description	Also known as
English	Smooth Gaussian fields and percolation	scientific article; zbMATH DE number 7783645

Statements

scholarly article

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Smooth Gaussian fields and percolation (English)

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Dmitri B. Beliaev

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Probability Surveys

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publication date

4 January 2024

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full work available at URL

https://arxiv.org/abs/2207.13448

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https://projecteuclid.org/journals/probability-surveys/volume-20/issue-none/Smooth-Gaussian-fields-and-percolation/10.1214/23-PS24.full

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zbMATH Keywords

smooth Gaussian fields

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percolation

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MaRDI profile type

MaRDI publication profile

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Random Fields and Geometry

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On a sharp transition from area law to perimeter law in a system of random surfaces

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Boundedness of level lines for two-dimensional random fields

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Level Sets and Extrema of Random Processes and Fields

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On a Hilbert space of analytic functions and an associated integral transform part I

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Is critical 2D percolation universal?

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Percolation of random nodal lines

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On the Bogomolny–Schmit conjecture

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Fluctuations of the number of excursion sets of planar Gaussian fields

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On the number of excursion sets of planar Gaussian fields

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Discretisation schemes for level sets of planar Gaussian fields

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A covariance formula for topological events of smooth Gaussian fields

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

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SLE description of the nodal lines of random wavefunctions

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Random wavefunctions and percolation

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A SHORT PROOF OF THE HARRIS–KESTEN THEOREM

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The critical probability for random Voronoi percolation in the plane is 1/2

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The influence of variables in product spaces

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Percolation in strongly correlated systems: The massless Gaussian field

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On the Mean Number of Crossings of a Level by a Stationary Gaussian Process

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Two-dimensional critical percolation: the full scaling limit

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Scaling limit for the kernel of the spectral projector and remainder estimates in the pointwise Weyl law

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Critical percolation in finite geometries

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SIXTY YEARS OF PERCOLATION

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Equality of critical parameters for percolation of Gaussian free field level sets

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Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\)

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Sharp phase transition for the random-cluster and Potts models via decision trees

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Subcritical phase of \(d\)-dimensional Poisson-Boolean percolation and its vacant set

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Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)

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Correlation inequalities on some partially ordered sets

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Every monotone graph property has a sharp threshold

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Noise Sensitivity of Boolean Functions and Percolation

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On the radius of Gaussian free field excursion clusters

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On the average number of real roots of a random algebraic equation

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The critical probability of bond percolation on the square lattice equals 1/2

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Scaling relations for 2D-percolation

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Crossing probabilities for planar percolation

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Percolation of the excursion sets of planar symmetric shot noise fields

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The statistical analysis of a random, moving surface

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Probabilistic validation of homology computations for nodal domains

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A sprinkled decoupling inequality for Gaussian processes and applications

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

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On the number of nodal domains of random spherical harmonics

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Fluctuations in Random Complex Zeroes: Asymptotic Normality Revisited

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

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Fluctuations in the number of nodal domains

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Transportation to random zeroes by the gradient flow

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Normal Approximations with Malliavin Calculus

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Positively correlated normal variables are associated

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Mathematical Analysis of Random Noise

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Talagrand's inequality in planar Gaussian field percolation

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Quasi-independence for nodal lines

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The critical threshold for Bargmann-Fock percolation

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Phase transition and level-set percolation for the Gaussian free field

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A note on percolation

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Scaling limits of loop-erased random walks and uniform spanning trees

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Contour lines of the two-dimensional discrete Gaussian free field

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A contour line of the continuum Gaussian free field

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Sharp phase transition for Gaussian percolation in all dimensions

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Percolation Probabilities on the Square Lattice

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Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits

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Critical exponents for two-dimensional percolation

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Crossing probabilities for Voronoi percolation

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Lectures on two-dimensional critical percolation

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Real and complex zeros of Riemannian random waves

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Identifiers

zbMATH Open document ID

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10.1214/23-ps24

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6183891

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