Harmonic measure on fractal sets

被引：18

作者：

Beliaev, D

Smirnov, S

机构：

来源：

European Congress of Mathematics | 2005年

关键词：

D O I：

10.4171/009-1/3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Many problems in complex analysis can be reduced to the evaluation of the universal spectrum: the supremum of multifractal spectra of harmonic measures for all planar domains. Its exact value is still unknown, with very few estimates available. We start with a brief survey of related problems and available estimates from above. Then we discuss in more detail estimates from below, describing the search for a fractal domain which attains the maximal possible spectrum.

引用

页码：41 / 59

页数：19