The triangle condition for percolation

DOI10.1090/S0273-0979-1989-15827-8zbMath0698.60099OpenAlexW2072299679MaRDI QIDQ3476108

Takashi Hara, Gordon Slade

Publication date: 1989

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15827-8

zbMATH Keywords

percolationtriangle conditionnearest neighbour models

Mathematics Subject Classification ID

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

Related Items (1)

Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman

Cites Work

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• Percolation critical exponents under the triangle condition
• Sharpness of the phase transition in percolation models
• Mean-field critical behaviour for correlation length for percolation in high dimensions
• Gap exponents for percolation processes with triangle condition
• On the upper critical dimension of lattice trees and lattice animals
• Inequalities with applications to percolation and reliability
• On the critical percolation probabilities

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