Abstract
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 $0$.
Citation
Huy Tran. Yizheng Yuan. "A support theorem for SLE curves." Electron. J. Probab. 25 1 - 18, 2020. https://doi.org/10.1214/20-EJP425
Information
