Exact packing dimension in random recursive constructions
成果类型：
Article
署名作者：
Berlinkov, A
署名单位：
University of Jyvaskyla
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-003-0281-3
发表日期：
2003
页码：
477-496
关键词：
摘要：
We explore the exact packing dimension of certain random recursive constructions. In case of polynomial decay at 0 of the distribution function of random variable X, associated with the construction, we prove that it does not exist, and in case of exponential decay it is t(alpha)|log|logt||(beta), where alpha is the fractal dimension of the limit set and 1/beta is the rate of exponential decay.