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We consider shape, size and regularity of the hulls of the chordalSchramm-Loewner evolution driven by a symmetric alpha-stable process. We obtainderivative estimates, show that the complements of the hulls are Hoelderdomains, prove that the hulls have Hausdorff dimension 1, and show that thetrace is right-continuous with left limits almost surely.

Schramm-Loewner Equations Driven by Symmetric Stable Processes