4 papers
Scaling limits of critical FK-decorated random planar maps with
William Da Silva, Xingjian Hu, Ellen Powell +1
We establish the first scaling limit for FK()-weighted planar maps in the critical case , resolving a problem that has remained open since Sheffield's seminal work arXiv:11…
The role of scalar current coupling along surfaces
F. A. Barone, L. H. C. Borges, G. Flores-Hidalgo +2
In this paper we propose a coupling between the complex scalar field and an external Dirac delta-like planar potential. The coupling is achieved through the Klein-Gordon current no…
The longest increasing subsequence of Brownian separable permutons
Arka Adhikari, Jacopo Borga, Thomas Budzinski +2
We establish a scaling limit result for the length of the longest increasing subsequence of a permutation of size sampled from the Brownian se…
Growth-fragmentations, Brownian cone excursions and SLE(6) explorations of a quantum disc
William Da Silva, Ellen Powell, Alexander Watson
The aim of this article is to present a growth-fragmentation process naturally embedded in a Brownian excursion from boundary to apex in a cone of angle . This growth-fragme…