On crossing probabilities in critical random-cluster models

Date: 2022-08-12

Time: 09:30 - 10:30


Eveliina Peltola


I will discuss exact solvability results (in a sense) for scaling limits of interface crossings in critical random-cluster models in the plane with various boundary conditions. The results are rigorous for the FK-Ising model, Bernoulli percolation, and the spin-Ising model in appropriate setups.

The scaling limit formulas describe structures in the corresponding boundary conformal field theory.

(Based on joint works with Yu Feng, Mingchang Liu, and Hao Wu – all at Tsinghua University, China).