A lower bound for point-to-point connection probabilities in critical percolation

DOI10.1214/20-ECP326zbMath1456.60266arXiv1912.10964MaRDI QIDQ782843

D. Kharzeev

Publication date: 29 July 2020

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

Full work available at URL: https://arxiv.org/abs/1912.10964

zbMATH Keywords

critical percolationconnection probabilities

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (2)

Upper bounds on the one-arm exponent for dependent percolation models ⋮ An upper bound on the two-arms exponent for critical percolation on \(\mathbb{Z}^d\)

Cites Work

• Unnamed Item
• A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\)
• A lower bound on the two-arms exponent for critical percolation on the lattice
• One-arm exponent for critical 2D percolation
• Progress in high-dimensional percolation and random graphs
• Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals
• Mean-field behavior for nearest-neighbor percolation in \(d>10\)
• Percolation Processes: Lower Bounds for the Critical Probability

This page was built for publication: A lower bound for point-to-point connection probabilities in critical percolation