CARDY'S FORMULA FOR CERTAIN MODELS OF THE BOND-TRIANGULAR TYPE

DOI10.1142/S0129055X0700305XzbMath1152.82009arXivmath-ph/0601023OpenAlexW2113760798MaRDI QIDQ3502754

Helen K. Lei, Lincoln Chayes

Publication date: 20 May 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0601023

zbMATH Keywords

universalityconformal invariancecritical percolationCardy's formula

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (6)

On convergence to \(\mathrm{SLE}_6\). I: Conformal invariance for fertain models of the bond-triangular type ⋮ On convergence to \(\mathrm{SLE}_6\). II: Discrete approximations and extraction of Cardy's formula for general domains ⋮ A Biography of Robert M Ziff ⋮ Conformally invariant scaling limits in planar critical percolation ⋮ Universality in two-dimensional enhancement percolation ⋮ On the rate of convergence for critical crossing probabilities

Cites Work

• Cardy's formula for some dependent percolation models
• Critical exponents for two-dimensional percolation
• Scaling relations for 2D-percolation
• Critical percolation in finite geometries
• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
• A note on percolation
• Percolation Probabilities on the Square Lattice

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