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Crossing probabilities for planar percolation (Q6042547)

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scientific article; zbMATH DE number 7684352

Language	Label	Description	Also known as
English	Crossing probabilities for planar percolation	scientific article; zbMATH DE number 7684352

Statements

scholarly article

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Crossing probabilities for planar percolation (English)

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Laurin Köhler-Schindler

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Vincent Tassion

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Duke Mathematical Journal

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publication date

11 May 2023

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full work available at URL

https://arxiv.org/abs/2011.04618

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http://hdl.handle.net/20.500.11850/604725

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zbMATH Keywords

criticality

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crossing

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percolation

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Russo-Seymour-Welsh

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MaRDI profile type

MaRDI publication profile

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Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\)

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Emergent planarity in two-dimensional Ising models with finite-range interactions

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The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees

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Crossing probabilities for critical Bernoulli percolation on slabs

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The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\)

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Percolation of random nodal lines

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Discretisation schemes for level sets of planar Gaussian fields

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

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

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A SHORT PROOF OF THE HARRIS–KESTEN THEOREM

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Percolation on self-dual polygon configurations

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Liouville first-passage percolation: subsequential scaling limits at high temperature

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Lectures on the Ising and Potts Models on the Hypercubic Lattice

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Discontinuity of the phase transition for the planar random-cluster and Potts models with $q>4$

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Macroscopic loops in the loop \(O(n)\) model at Nienhuis' critical point

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Logarithmic variance for the height function of square-ice

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Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model

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Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs

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Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\)

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Renormalization of crossing probabilities in the planar random-cluster model

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The box-crossing property for critical two-dimensional oriented percolation

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Correlation inequalities on some partially ordered sets

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The scaling limits of near-critical and dynamical percolation

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Uniform Lipschitz functions on the triangular lattice have logarithmic variations

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The Random-Cluster Model

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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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Critical Percolation and the Minimal Spanning Tree in Slabs

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A short proof of the discontinuity of phase transition in the planar random-cluster model with \(q > 4\)

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Quasi-independence for nodal lines

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The Russo-Seymour-Welsh theorem and the equality of critical densities and the ``dual'' critical densities for continuum percolation on \({\mathbb{R}}^ 2\)

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A note on percolation

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On the critical percolation probabilities

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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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Crossing probabilities for Voronoi percolation

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Lectures on two-dimensional critical percolation

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Identifiers

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10.1215/00127094-2022-0015

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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:6042547

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