We study the behavior of the two-dimensional Ising model in a finite box at temperatures that are below, but very close to, the critical temperature. In a regime where the temperature approaches the critical point and, simultaneously, the size of the box grows fast enough, we establish a large deviation principle that proves the appearance of a round Wulff crystal.
"On the 2D Ising Wulff crystal near criticality." Ann. Probab. 38 (1) 102 - 149, January 2010. https://doi.org/10.1214/08-AOP449