3 papers
math.PR2025
Commutation relations for two-sided radial SLE
Ellen Krusell, Yilin Wang, Hao Wu
We study the commutation relation for 2-radial SLE in the unit disc starting from two boundary points. We follow the framework introduced by Dubédat. Under an additional requireme…
math-ph2025
Polyakov-Alvarez Formula for Curvilinear Polygonal Domains with Slits
Ellen Krusell
We consider the -regularized determinant of the Friedrichs extension of the Dirichlet Laplace-Beltrami operator on curvilinear polygonal domains with corners of arbitrary posit…
math.CV2024
The -Loewner Energy: Large Deviations, Minimizers, and Alternative Descriptions
Ellen Krusell
We introduce and study the -Loewner energy, a variant of the Loewner energy with a force point on the boundary of the domain. We prove a large deviation principle for SLE$_κ(υ