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Zhan, D. (2004) Random Loewner Chains in Riemann Surfaces. Ph.D. Thesis, Caltech.

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.