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arXiv · 1811.05066

Multiple-paths $SLE_\kappa$ in multiply connected domains

Mohammad Jahangoshahi·Gregory F. Lawler
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Abstract

We define multiple-paths Schramm-Loewner evolution ($SLE_\kappa$) in multiply connected domains when $\kappa\leq 4$ and prove that in annuli, the partition function is smooth. Moreover, we give up-to-constant estimates for the partition function of bi-chordal annulus $SLE_\kappa$ measure and we establish a connection between this measure and two-sided $SLE_\kappa$ in the unit disk.

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Mohammad Jahangoshahi, Gregory F. Lawler. 2018-11-13. Multiple-paths $SLE_\kappa$ in multiply connected domains. https://arxiv.org/abs/1811.05066

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