An upper bound on the two-arms exponent for critical percolation on \(\mathbb{Z}^d\)

DOI10.1214/21-AIHP1153zbMath1493.60146arXiv2009.13337OpenAlexW4226023646MaRDI QIDQ2077369

Yanyan Li

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/2009.13337

zbMATH Keywords

critical exponentcritical percolation

Mathematics Subject Classification ID

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

Cites Work

• A lower bound for point-to-point connection probabilities in critical percolation
• A lower bound on the two-arms exponent for critical percolation on the lattice
• Analyticity properties and power law estimates of functions in percolation theory
• Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation
• On the uniqueness of the infinite cluster in the percolation model
• Density and uniqueness in percolation
• The critical probability of bond percolation on the square lattice equals 1/2
• Domination by product measures
• Critical exponents for two-dimensional percolation
• Upper bounds on the percolation correlation length
• Planar random-cluster model: fractal properties of the critical phase
• Minimal spanning trees and Stein's method
• Arm exponents in high dimensional percolation

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