This article pertains to the classification of multiple Schramm–Loewner evolutions (SLE). We
construct the pure partition functions of multiple\rm SLE _ κ SLE κ with κ ∈ (0, 4 κ∈(0, 4 and …

This article focuses on the characterization of global multiple Schramm–Loewner evolutions
(SLE). The chordal SLE describes the scaling limit of a single interface in various critical …

We prove the existence and uniqueness of multiple SLE κ associated with any given link
pattern for κ∈(4, 6]. We also have the uniqueness for κ∈(6, 8). The multiple SLE κ law is …

We discuss the partition function point of view for chordal Schramm-Loewner evolutions and
their relationship with correlation functions in conformal field theory. Both are closely related …

We consider collections of $ N $ chordal random curves obtained from a critical lattice model
on a planar graph, in the limit when a fine-mesh graph approximates a simply-connected …

We find explicit formulas for the probabilities of general boundary visit events for planar loop-
erased random walks, as well as connectivity events for branches in the uniform spanning …

In this article, we study the multiple radial SLE (0) systems as the deterministic limit of
multiple radial SLE ($\kappa $) systems. As a consequence of domain Markov property and …

We describe the Loewner chains of the real locus of a class of real rational functions whose
critical points are on the real line. Our main result is that the poles of the rational function …

We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the
critical planar Ising model with alternating boundary conditions are conformally invariant …

We identify the local scaling limit of multiple boundary-to-boundary branches in a uniform
spanning tree (UST) as a local multiple SLE(2), ie, an SLE(2) process weighted by a suitable …