Sparse Beltrami Coefficients, Integral Means of Conformal Mappings and the Feynman-Kac Formula

被引：0
|
作者：
Oleg Ivrii
机构：
[1] Department of Mathematics,
[2] California Institute of Technology,undefined
来源：
Potential Analysis | 2018年 / 48卷
关键词：
Conformal mapping; Integral means spectrum; Quasiconformal extension; Hyperbolic Brownian motion; Feynman-Kac formula; 30C75; 30D45; 31A15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note, we give an estimate for the dimension of the image of the unit circle under a quasiconformal mapping whose dilatation has small support. We also prove an analogous estimate for the rate of growth of a solution of a second-order parabolic equation given by the Feynman-Kac formula with a sparsely supported potential and introduce a dictionary between the two settings.
引用
收藏
页码：437 / 457
页数：20
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