Onsager--Machlup functional for multiple SLEs

Fuente: arXiv
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Autore principale: Fan, Shuo
Natura: Preprint
Pubblicazione: 2025
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author Fan, Shuo
author_facet Fan, Shuo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_06815
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Onsager--Machlup functional for multiple SLEs
Fan, Shuo
Probability
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.
title Onsager--Machlup functional for multiple SLEs
topic Probability
url https://arxiv.org/abs/2508.06815