Pivotal, cluster, and interface measures for critical planar percolation
type: Item
instance of: scholarly article
title: Pivotal, cluster, and interface measures for critical planar percolation
zbMATH Open document ID: 1276.60111
DOI: 10.1090/S0894-0347-2013-00772-9
author: Christophe Garban
author: Gábor Pete
author: Oded Schramm
published in: Journal of the American Mathematical Society
publication date: 2013-08-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1008.1378
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81T27
Mathematics Subject Classification ID: 82B27
Mathematics Subject Classification ID: 60J67
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 6195224
zbMATH Keywords: pivotal
zbMATH Keywords: cluster
zbMATH Keywords: interface measures
zbMATH Keywords: critical planar percolation
MaRDI profile type: Publication
Wikidata QID: Q56688692
arXiv ID: 1008.1378
cites work: Exponential tail bounds for loop-erased random walk in two dimensions
cites work: Hausdorff dimensions for SLE\(_6\).
cites work: The dimension of the SLE curves
cites work: Noise sensitivity of Boolean functions and applications to percolation
cites work: The birth of the infinite cluster: Finite-size scaling in percolation
cites work: Two-dimensional scaling limits via marked nonsimple loops
cites work: Planar Ising magnetization field. I: Uniqueness of the critical scaling limit
cites work: Two-dimensional critical percolation: the full scaling limit
cites work: Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence
cites work: Ising (conformal) fields and cluster area measures
cites work: Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters
cites work: Excursion decompositions for SLE and Watts' crossing formula
cites work: Commutation relations for Schramm‐Loewner evolutions
cites work: Oded Schramm's contributions to noise sensitivity
cites work: The Fourier spectrum of critical percolation
cites work: Percolation
cites work: Dynamical percolation
cites work: Local time on the exceptional set of dynamical percolation and the incipient infinite cluster
cites work: Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals
cites work: The incipient infinite cluster in two-dimensional percolation
cites work: Scaling relations for 2D-percolation
cites work: Q4215728
cites work: Minkowski content and natural parameterization for the Schramm-Loewner evolution
cites work: A natural parametrization for the Schramm-Loewner evolution
cites work: Values of Brownian intersection exponents. II: Plane exponents
cites work: Analyticity of intersection exponents for planar Brownian motion
cites work: Fast convergence to an invariant measure for non-intersecting 3-dimensional Brownian paths
cites work: SLE curves and natural parametrization
cites work: Off-critical lattice models and massive SLEs
cites work: The growth exponent for planar loop-erased random walk
cites work: Q4328334
cites work: Near-critical percolation in two dimensions
cites work: Asymmetry of near-critical percolation interfaces
cites work: Q4052427
cites work: Proof of the Van den Berg–Kesten Conjecture
cites work: Scaling limits of loop-erased random walks and uniform spanning trees
cites work: Contour lines of the two-dimensional discrete Gaussian free field
cites work: On the scaling limits of planar percolation
cites work: Quantitative noise sensitivity and exceptional times for percolation
cites work: Exploration trees and conformal loop ensembles
cites work: Schramm's proof of Watts' formula
cites work: Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits
cites work: Towards conformal invariance of 2D lattice models
cites work: A survey on dynamical percolation
cites work: Critical exponents for two-dimensional percolation
cites work: Lectures on two-dimensional critical percolation
cites work: Reversibility of chordal SLE
OpenAlex ID: W2131981330
Recommended article: On the scaling limits of planar percolation
Recommended article: Mean-field criticality for percolation on planar non-amenable graphs
Recommended article: On the critical parameter of interlacement percolation in high dimension
Recommended article: Critical percolation in finite geometries
Recommended article: Critical exponents of planar gradient percolation
Recommended article: The geometry of a critical percolation cluster on the UIPT
Recommended article: Universal aspects of critical percolation on random half-planar maps

Pivotal, cluster, and interface measures for critical planar percolation (Recommended article)
Recommended article: Critical behavior of percolation and Markov fields on branching planes
Similarity Score: 0.88692796
Recommender Run: Recommender Run 2

Pivotal, cluster, and interface measures for critical planar percolation (Recommended article)
Recommended article: The density of critical percolation clusters touching the boundaries of strips and squares
Similarity Score: 0.8868996
Recommender Run: Recommender Run 2