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Published May 2015 | Published + Submitted
Journal Article Open

On the rate of convergence for critical crossing probabilities

Abstract

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 rate of convergence of the crossing probabilities to Cardy's Formula.

Additional Information

© 2015 Association des Publications de l'Institut Henri Poincare. Received 4 December 2012; revised 22 September 2013; accepted 3 October 2013. The authors acknowledge the hospitality of the Fields Institute during the Thematic Program on Dynamics and Transport in Disordered Systems where this work was initiated. I. B. was partially supported by an NSERC Discovery Grant 5810-2009-298433. L. Chayes was supported by the NSF under the auspices of the Grants DMS-08-05486 and PHY-12-05295. H. K. L. was supported by the NSF under the Grant DMS-10-04735 and by the Olga Taussky–John Todd Instructorship at Caltech. The authors also acknowledge some detailed useful comments from a source who will remain anonymous.

Attached Files

Published - Binder_2015p672.pdf

Submitted - 1210.1917v2.pdf

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August 22, 2023
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