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Schramm-Loewner Equations Driven by Symmetric Stable Processes (2008)

Abstract
We consider shape, size and regularity of the hulls Kt of the chordal Schramm-Loewner evolution driven by a symmetric α-stable process. We obtain derivative estimates, show that the domains H \ Kt are Hölder domains, prove that Kt has Hausdorff dimension 1, and show that the trace is right-continuous with left limits almost surely. 1

Publication details
Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.9326
Source http://www.math.washington.edu/~zchen/stableSLE.pdf
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Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type text
Language English