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arXiv:1810.10843 [math.PR]AbstractReferencesReviewsResources

A support theorem for SLE curves

Huy Tran, Yizheng Yuan

Published 2018-10-25Version 1

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 $0$.

Categories: math.PR, math.CV
Subjects: 30C20, 60G17, 60J67, 60K35
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