80 citations · 224 across the 14 of their papers we have counts for
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On the Rate of Convergence for Critical Crossing Probabilities
I. Binder, L. Chayes, H. K. Lei
For the site percolation model on the triangular lattice and certain generalizations for which Cardy's Formula has been established we acquire a power law estimate for the \emph{ra…
Territorial Developments Based on Graffiti: a Statistical Mechanics Approach
Alethea B. T. Barbaro, Lincoln Chayes, Maria R. D'Orsogna
We study the well-known sociological phenomenon of gang aggregation and territory formation through an interacting agent system defined on a lattice. We introduce a two-gang Hamilt…
On Convergence to SLE II: Discrete Approximations and Extraction of Cardy's Formula for General Domains
I. Binder, L. Chayes, H. K. Lei
Following the approach outlined in [17], convergence to SLE of the Exploration Processes for the correlated bond-triangular type models studied in [6] is established in [3] and…
On Convergence to SLE I: Conformal Invariance for Certain Models of the Bond-Triangular Type
I. Binder, L. Chayes, H. K. Lei
Following the approach outlined in [26], convergence to SLE of the Exploration Processes for the correlated bond-triangular type models studied in [11] is established. This put…
Conformal Invariance for Certain Models of the Bond-Triangular Type
I. Binder, L. Chayes, H. K. Lei
Following the approach outlined in [18], convergence to SLE6 of the Exploration Processes for the correlated bond-triangular type models studied in [7] is established. This puts th…
Cardy's Formula for Certain Models of the Bond-Triangular Type
L. Chayes, H. K. Lei
We introduce and study a family of 2D percolation systems which are based on the bond percolation model of the triangular lattice. The system under study has local correlations, ho…