Onsager--Machlup functional for multiple SLEs
Probability
2025-08-12 v1
Abstract
Recently, Carfagnini and Wang established that the loop Loewner energy can be interpreted as the Onsager--Machlup functional for the SLE loop measure. In this paper, we first interpret the multi-chordal Loewner potential as an Onsager--Machlup functional for the multi-chordal SLE. Subsequently, we extend the conformal deformation formula to the multi-radial Loewner potential and derive the Onsager--Machlup functional for the multi-radial SLE.
Cite
@article{arxiv.2508.06815,
title = {Onsager--Machlup functional for multiple SLEs},
author = {Shuo Fan},
journal= {arXiv preprint arXiv:2508.06815},
year = {2025}
}