Two-sided radial SLE and length-biased chordal SLE

Abstract

We show that, for $\kappa \le 4$, the integral of the two-sided radial SLE${}_{\kappa }$ measures over all interior points is chordal SLE${}_{\kappa }$ biased by the path's natural length, which is its $(1+\kappa /8)$-dimensional Minkowski content.

29 pages

References in corpus (3)

• Multi-point Green's functions for SLE and an estimate of Beffara
• Escape probability and transience for SLE
• Continuity of radial and two-sided radial $SL{E}_{\kappa }$ at the terminal point

Cited by in corpus (2)

• Decomposition of Schramm-Loewner evolution along its curve
• Decomposition of backward SLE in the capacity parameterization