Escape probability and transience for SLE

Abstract

We give estimates for the probability that a chordal, radial or two-sided radial SLE${}_{\kappa }$ curve retreats far from its terminal point after coming close to it, for $\kappa \le 4$. The estimates are uniform over all initial segments of the curve, and are sharp up to a universal constant.

20 pages, 4 figures

References in corpus (1)

• Continuity of radial and two-sided radial $SL{E}_{\kappa }$ at the terminal point

Cited by in corpus (1)

• Convergence of radial loop-erased random walk in the natural parametrization