The Loewner equation: Maps and shapes

The Loewner equation: Maps and shapes
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DOI:
10.1023/b:joss.0000013973.40984.3b
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发表时间:
2004-03-01
影响因子:
1.6
通讯作者:
Kadanoff, LP
Kadanoff, LP
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Gruzberg, IA;Kadanoff, LP

文献摘要

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一种称为Schramm-Loewner进化(SLE)的方法提供了一种处理二维尺度不变问题的新方法。这种方法是基于一种叫做洛厄纳进化(LE)的旧方法,它将复平面上的解析结构和几何结构联系起来。本文描述了LE和SLE的基础,并以相对非技术的形式讨论了一些简单的应用。提出了这门学科的参考书目。
An approach called Schramm-Loewner evolution (SLE) provides a new method for dealing with a wide variety of scale-invariant problems in two dimensions. This approach is based upon an older method called Loewner Evolution ( LE), which connects analytic and geometrical constructions in the complex plane. In this paper, the bases of LE and SLE are described and some simple applications are discussed in relatively non-technical form. A bibliography of the subject is presented.