Boundary Arm Exponents for SLE

Abstract

We derive boundary arm exponents and interior arm exponents for SLE$(\kappa )$. Combining with the possible convergence of critical lattice models to SLE, these exponents would give the corresponding alternating half-plane arm exponents and alternating plane arm exponents for the lattice models.

arXiv comment10 pages. This note explains the idea of the proof, and a more detailed version will appear soon as a joint work with Dapeng Zhan