On random fractals with infinite branching: Definition, measurability, dimensions

被引：0
作者：
Berlinkov, Artemi
机构：
[1] not available, St.-Petersburg, 197227
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2013年 / 49卷 / 04期
关键词：
Packing dimension; Minkowski dimension; Random fractal; ITERATED FUNCTION SYSTEMS; V-VARIABLE FRACTALS;
D O I：
10.1214/12-AIHP502
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 definition and measurability questions of random fractals with infinite branching, and find, under certain conditions, a formula for the upper and lower Minkowski dimensions. For the case of a random self-similar set we obtain the packing dimension.
引用
收藏
页码：1080 / 1089
页数：10
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