Hausdorff and upper box dimension estimate of hyperbolic recurrent sets

被引：0
|
作者：
Mrinal Kanti Roychowdhury
机构：
[1] The University of Texas-Pan American,Department of Mathematics
来源：
Israel Journal of Mathematics | 2014年 / 201卷
关键词：
Spectral Radius; Iterate Function System; Nonempty Open Subset; Nonempty Compact Subset; Markov Transition Matrix;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, under the open set condition we have determined the lower and upper bounds of the Hausdorff dimensions and the upper box-counting dimensions of the limit sets of hyperbolic recurrent iterated function systems in terms of the unique zeros h and H of the two pressure functions. In addition, we have estimated the bounds of h, H-dimensional Hausdorff and packing measures. The result in this paper generalizes existing results about fractal dimensions of many other iterated function systems.
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页码：507 / 523
页数：16
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