JULIA SETS ARE UNIFORMLY PERFECT

被引：38

作者：

MANE, R ^{[1
]}

DAROCHA, LF ^{[1
]}

机构：

[1] UNIV FED RIO GRANDE SUL,INST MATEMAT,BR-91500 PORTO ALEGRE,RS,BRAZIL

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 116卷 / 01期

关键词：

D O I：

10.2307/2159321

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that Julia sets are uniformly perfect in the sense of Pommerenke (Arch. Math. 32 (1979), 192-199). This implies that their linear density of logarithmic capacity is strictly positive, thus implying that Julia sets are regular in the sense of Dirichlet. Using this we obtain a formula for the entropy of invariant harmonic measures on Julia sets. As a corollary we give a very short proof of Lopes converse to Brolin's theorem.

引用

页码：251 / 257

页数：7