Speaker:
Konstantiv Izyurov, Helsinki
Abstract
We study the number of loops surrounding a given lattice site in a double-dimer model on Temperleyan domains. For a single lattice site, we prove that this number, after a suitable shift and scaling, converges in distribution to a standard Gaussian. We also prove that, when varying the point and viewing the resulting quantity as a random field, this field converges, after centering, to the CLE(4) nesting field defined by Miller, Watson, and Wilson. Joint work with Mikhail Basok.