The sizes of the pioneering, lowest crossing and pivotal sites in critical percolation on the triangular lattice

DOI10.1214/105051605000000241zbMath1078.60086arXivmath/0508459OpenAlexW2087845519MaRDI QIDQ2572395

Gregory J. Morrow, Y. Zhang

Publication date: 8 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0508459

Mathematics Subject Classification ID

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

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Cites Work

• The incipient infinite cluster in two-dimensional percolation
• The tortuosity of occupied crossings of a box in critical percolation
• Critical exponents for two-dimensional percolation
• Values of Brownian intersection exponents. III: Two-sided exponents
• Scaling relations for 2D-percolation
• Hausdorff dimensions for SLE\(_6\).
• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
• Percolation
• The dimension of the planar Brownian frontier is \(4/3\)
• Values of Brownian intersection exponents. I: Half-plane exponents
• Values of Brownian intersection exponents. II: Plane exponents

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