Continuous LERW Started from Interior Points

Abstract

We use the whole-plane Loewner equation to define a family of continuous LERW in finitely connected domains that are started from interior points. These continuous LERW satisfy conformal invariance, preserve some continuous local martingales, and are the scaling limits of the corresponding discrete LERW on the discrete approximation of the domains.

55 pages

Cited by in corpus (2)

• Reversibility of Whole-Plane SLE
• On the reversal of radial SLE, I: Commutation Relations in Annuli