14 citations · 15 across the 3 of their papers we have counts for
3 papers
math.PR2008
The 2D Ising model near criticality: a FK percolation analysis
Raphael Cerf, Reda Messikh
We study the 2d-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and th…
math.PR2006★ 14 cited
The surface tension near criticality of the 2d-Ising model
R. J. Messikh
For the two dimensional Ising model, we construct the adequate surface tension near criticality. The latter quantity has been shown to play a central role in the study of phase coe…
math.PR2003★ 1 cited
Surface order large deviations for 2d FK-percolation and Potts models
O. Couronne, R. J. Messikh
By adapting the renormalization techniques of Pisztora, we establish surface order large deviations estimates for FK-percolation on with parameter and for the corr…