Article citationsMore>>

Smirnov, S. (2010) Conformal Invariance in Random Cluster Models. I. Holmorphic Fermions in the Ising Model. Annals of Mathematics, 172, 1435-1467.
https://doi.org/10.4007/annals.2010.172.1435

has been cited by the following article:

• TITLE: The Stochastic Coupling of SLE on the Strip Domain

  AUTHORS: Shenghua Zou

  KEYWORDS: Strip SLEk, SLEk Trace, Stochastic Coupling

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.9, September 22, 2020

  ABSTRACT: The main work of this paper is to discuss the stochastic coupling of stirp SLEk(k ∈ (0,4]) on the stirp region Sπ. By constructing a bounded continuous local martingale, we prove that when a certain ordinary differential equation is satisfied, there is a coupling of two strip SLEk traces in Sπ; one is from a to b; the other is from b to a, such that the two curves visit the same set of points.