Open Access
2020 A support theorem for SLE curves
Huy Tran, Yizheng Yuan
Electron. J. Probab. 25: 1-18 (2020). DOI: 10.1214/20-EJP425


For all $\kappa > 0$, we show that the support of SLE$_{\kappa }$ curves is the closure in the sup-norm of the set of Loewner curves driven by nice (e.g. smooth) functions. It follows that the support is the closure of the set of simple curves starting at $0$.


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Huy Tran. Yizheng Yuan. "A support theorem for SLE curves." Electron. J. Probab. 25 1 - 18, 2020.


Received: 13 December 2018; Accepted: 31 January 2020; Published: 2020
First available in Project Euclid: 6 February 2020

zbMATH: 1439.30021
MathSciNet: MR4073679
Digital Object Identifier: 10.1214/20-EJP425

Primary: 30C20 , 60G17 , 60J67 , 60K35

Keywords: Loewner chains , Schramm-Loewner evolution , topological support

Vol.25 • 2020
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