Chordal restriction property

A random curve $\gamma$ from $0$ to infinity in the complex upper half-plane has the chordal restriction property when, for every admissible compact H-hull $A$ avoiding zero, the conditional law of ${\psi }_A(\gamma )$ given $\gamma \cap A=\varnothing$ equals the original law of $\gamma$. Here ${\psi }_A:\mathbb{H}\setminus A\to \mathbb{H}$ fixes zero and has derivative one at infinity.

For chordal ${\mathrm{SLE}}_{8/3}$ and an admissible hull $A$, let ${\psi }_t$ map out the image of $A$ after removing the SLE hull. Thenstopped when the trace meets $A$ is a bounded martingale. Its terminal value yields the avoidance probability