Schramm-Loewner equations driven by symmetric stable processes

Zhen Qing Chen; Steffen Rohde

doi:10.1007/s00220-008-0674-3

Schramm-Loewner equations driven by symmetric stable processes

Zhen Qing Chen^*, Steffen Rohde

^*Corresponding author for this work

University of Washington

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	799-824
Number of pages	26
Journal	Communications in Mathematical Physics
Volume	285
Issue number	3
DOIs	https://doi.org/10.1007/s00220-008-0674-3
Publication status	Published - Feb 2009
Externally published	Yes

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title = "Schramm-Loewner equations driven by symmetric stable processes",

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

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AB - We consider shape, size and regularity of the hulls K t 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 K t has Hausdorff dimension 1, and show that the trace is right-continuous with left limits almost surely.

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JO - Communications in Mathematical Physics

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Schramm-Loewner equations driven by symmetric stable processes

Abstract

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