2 papers
math.PR2026
The self-dual point of Fortuin--Kasteleyn planar maps is critical
Nathanaël Berestycki, William Da Silva
We study the Fortuin--Kasteleyn model of planar maps with parameter at and away from its self-dual point. This model is also bijectively equivalent to the fully packed…
math.PR2025
The scaling limit of the volume of loop O(n) quadrangulations
Ãlie Aïdékon, William Da Silva, Xingjian Hu
We study the volume of rigid loop- quadrangulations with a boundary of length in the non-generic critical regime. We prove that, as the half-perimeter goes to infini…