Ann. Probab. 2021 DOI: 10.1214/20-aop1477 View full text
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Vincent Beffara, Eveliina Peltola, Hao Wu

Abstract: This article focuses on the characterization of global multiple Schramm-Loewner evolutions (SLE). The chordal SLE process describes the scaling limit of a single interface in various critical lattice models with Dobrushin boundary conditions, and similarly, global multiple SLEs describe scaling limits of collections of interfaces in critical lattice models with alternating boundary conditions. In this article, we give a minimal amount of characterizing properties for the global multiple SLEs: we prove that the…

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