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

14 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\textbackslash{}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.",

author = "Chen, \{Zhen Qing\} and Steffen Rohde",

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AU - Rohde, Steffen

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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/58149512304

U2 - 10.1007/s00220-008-0674-3

DO - 10.1007/s00220-008-0674-3

M3 - Article

AN - SCOPUS:58149512304

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VL - 285

SP - 799

EP - 824

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

Schramm-Loewner equations driven by symmetric stable processes

Abstract

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