A lower bound on the two-arms exponent for critical percolation on the lattice

DOI10.1214/14-AOP940zbMath1356.60163arXiv1306.3105OpenAlexW1754264015MaRDI QIDQ888533

Raphaël Cerf

Publication date: 30 October 2015

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3105

zbMATH Keywords

critical percolationtwo-arms exponent

Mathematics Subject Classification ID

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

Related Items (11)

Equality of critical parameters for percolation of Gaussian free field level sets ⋮ Continuity of the Ising phase transition on nonamenable groups ⋮ Transience and anchored isoperimetric dimension of supercritical percolation clusters ⋮ Critical exponents for a percolation model on transient graphs ⋮ On the four-arm exponent for 2D percolation at criticality ⋮ Upper bounds on the percolation correlation length ⋮ Harry Kesten's work in probability theory ⋮ Power-law bounds for critical long-range percolation below the upper-critical dimension ⋮ An upper bound on the two-arms exponent for critical percolation on \(\mathbb{Z}^d\) ⋮ A lower bound for point-to-point connection probabilities in critical percolation ⋮ Locality of the critical probability for transitive graphs of exponential growth

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