Author(s)

Shenghua Zou

The Department of Basic Course Education, Ji’an College, Ji’an, China.

The main work of this paper is to discuss the stochastic coupling of stirp SLE_k (k ∈ (0,4]) on the stirp region S_π. 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 SLE_k traces in S_π; one is from a to b; the other is from b to a, such that the two curves visit the same set of points.

Strip SLE_k, SLE_k Trace, Stochastic Coupling

Zou, S. (2020) The Stochastic Coupling of SLE on the Strip Domain. Journal of Applied Mathematics and Physics, 8, 1896-1910. doi: 10.4236/jamp.2020.89143.