A continuity property of the dimension of the harmonic measure of Cantor sets under perturbations

被引：2

作者：

Batakis, A ^{[1
]}

机构：

[1] Univ Orleans, MAPMO, Dept Math, F-45067 Orleans 2, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2000年 / 36卷 / 01期

关键词：

harmonic measure; canter sets; fractals; Hausdorff dimension; entropie;

D O I：

10.1016/S0246-0203(00)00117-5

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We investigate the behaviour of the dimension of harmonic measure of the complementary of Canter sets as a function of parameters determining these sets, and we establish continuity results. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

引用

页码：87 / 107

页数：21

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