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

^*此作品的通讯作者

University of Washington

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	799-824
页数	26
期刊	Communications in Mathematical Physics
卷	285
期	3
DOI	https://doi.org/10.1007/s00220-008-0674-3
出版状态	已出版 - 2月 2009
已对外发布	是

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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.",

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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

JF - Communications in Mathematical Physics

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Schramm-Loewner equations driven by symmetric stable processes

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