Random coverings of the circle with i.i.d. centers

被引：3
|
作者：
Tang JunMin [1 ,2 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 06期
基金：
中国国家自然科学基金;
关键词：
random covering; local dimension; hitting time; Gibbs measure; INTERVALS; ARCS; POINT;
D O I：
10.1007/s11425-011-4338-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the random intervals (mod 1) with their centers omega (n) being i.i.d. but not necessary uniformly distributed on the circle = a"e/a"currency sign and with their lengths decreasing to zero. Using the dimension theory in dynamical systems, we give conditions on which the circle is finitely or infinitely often covered by intervals {I (n) (omega)} (na (c) 3/41).
引用
收藏
页码：1257 / 1268
页数：12
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