Scale-dependent fractal geometry

被引：0
|
作者：
Catrakis, HJ [1 ]
Dimotakis, PE [1 ]
机构：
[1] Univ Calif Irvine, Irvine, CA 92717 USA
来源：
MIXING: CHAOS AND TURBULENCE | 1999年 / 373卷
关键词：
D O I：
暂无
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
A generalization of fractal geometry that allows for scale-dependent behavior is described. The resulting framework, termed "scale-dependent fractal" (SDF) geometry, can be used to quantify and model various phenomena whose geometric complexity may depend on scale. Relations are derived between scale distributions and coverage dimensions in the SDF framework, for one- as well as multi-dimensional sets, and applied to level sets arising in turbulence and mixing.
引用
收藏
页码：145 / 162
页数：18
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