Schramm-Loewner Equations Driven by Symmetric Stable Processes

Abstract

We consider shape, size and regularity of the hulls of the chordal Schramm-Loewner evolution driven by a symmetric alpha-stable process. We obtain derivative estimates, show that the complements of the hulls are Hoelder domains, prove that the hulls have Hausdorff dimension 1, and show that the trace is right-continuous with left limits almost surely.

22 pages, 4 figures

References in corpus (3)

• Stochastic Loewner evolution driven by Levy processes
• SLE and alpha-SLE driven by Levy processes
• Cadlag curves of SLE driven by Levy processes

Cited by in corpus (2)

• Cadlag curves of SLE driven by Levy processes
• Rescaled Levy-Loewner hulls and random growth