Dans le modèle de percolation sur le réseau triangulaire et pour certaines généralisations pour lesquelles la formule de Cardy a été établie, nous démontrons un taux de convergence en loi de puissance des probabilités de percolation vers la formule de Cardy.
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.
Mots clés : critical percolation, crossing probability, triangular lattice, conformal invariance, Cardy’s formula
@article{AIHPB_2015__51_2_672_0, author = {Binder, I. and Chayes, L. and Lei, H. K.}, title = {On the rate of convergence for critical crossing probabilities}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {672--715}, publisher = {Gauthier-Villars}, volume = {51}, number = {2}, year = {2015}, doi = {10.1214/13-AIHP589}, mrnumber = {3335021}, zbl = {1330.82025}, language = {en}, url = {http://www.numdam.org/articles/10.1214/13-AIHP589/} }
TY - JOUR AU - Binder, I. AU - Chayes, L. AU - Lei, H. K. TI - On the rate of convergence for critical crossing probabilities JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2015 SP - 672 EP - 715 VL - 51 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/articles/10.1214/13-AIHP589/ DO - 10.1214/13-AIHP589 LA - en ID - AIHPB_2015__51_2_672_0 ER -
%0 Journal Article %A Binder, I. %A Chayes, L. %A Lei, H. K. %T On the rate of convergence for critical crossing probabilities %J Annales de l'I.H.P. Probabilités et statistiques %D 2015 %P 672-715 %V 51 %N 2 %I Gauthier-Villars %U http://www.numdam.org/articles/10.1214/13-AIHP589/ %R 10.1214/13-AIHP589 %G en %F AIHPB_2015__51_2_672_0
Binder, I.; Chayes, L.; Lei, H. K. On the rate of convergence for critical crossing probabilities. Annales de l'I.H.P. Probabilités et statistiques, Tome 51 (2015) no. 2, pp. 672-715. doi : 10.1214/13-AIHP589. http://www.numdam.org/articles/10.1214/13-AIHP589/
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