Strict monotonicity, continuity and bounds on the Kertész line for the random-cluster model on ${\mathbb{Z}}^d$

Ulrik Thinggaard Hansen, Frederik Ravn Klausen

Ising and Potts models can be studied using the Fortuin-Kasteleyn representation through the Edwards-Sokal coupling. This adapts to the setting where the models are exposed to an e…