Reversibility of Some Chordal SLE$(\kappa ;\rho )$ Traces

Abstract

We prove that, for $\kappa \in (0,4)$ and $\rho \ge (\kappa -4)/2$, the chordal SLE$(\kappa ;\rho )$ trace started from $(0;0^{+})$ or $(0;0^{-})$ satisfies the reversibility property. And we obtain the equation for the reversal of the chordal SLE$(\kappa ;\rho )$ trace started from $(0;b_0)$, where $b_0>0$.

The introduction and references are modified