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arXiv · 0708.1805

Schramm-Loewner Equations Driven by Symmetric Stable Processes

Zhen-Qing Chen·Steffen Rohde
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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.

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Zhen-Qing Chen, Steffen Rohde. 2007-08-14. Schramm-Loewner Equations Driven by Symmetric Stable Processes. https://doi.org/10.1007/s00220-008-0674-3

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