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
相关论文
共 50 条
  • [21] Is the Hubble Constant Scale-Dependent?
    Yu. V. Dumin
    [J]. Gravitation and Cosmology, 2018, 24 : 171 - 172
  • [22] Scale-dependent fracture networks
    Forstner, Stephanie R.
    Laubach, Stephen E.
    [J]. Journal of Structural Geology, 2022, 165
  • [23] Scale-dependent polytropic black hole
    Contreras, Ernesto
    Rincon, Angel
    Koch, Benjamin
    Bargueno, Pedro
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (03):
  • [24] Scale-Dependent Relationships in Natural Language
    Sarkar A.
    Howard M.W.
    [J]. Computational Brain & Behavior, 2021, 4 (2) : 164 - 177
  • [25] SCALE-DEPENDENT VARIABILITY IN SEABIRD ABUNDANCE
    SCHNEIDER, DC
    DUFFY, DC
    [J]. MARINE ECOLOGY PROGRESS SERIES, 1985, 25 (03) : 211 - 218
  • [26] Scale-dependent polytropic black hole
    Ernesto Contreras
    Ángel Rincón
    Benjamin Koch
    Pedro Bargueño
    [J]. The European Physical Journal C, 2018, 78
  • [27] Thermodynamics of scale-dependent Friedmann equations
    Pedro Bargueño
    Ernesto Contreras
    Ángel Rincón
    [J]. The European Physical Journal C, 2021, 81
  • [28] Scale-dependent dispersion from a pit
    Hunt, B
    [J]. JOURNAL OF HYDROLOGIC ENGINEERING, 2002, 7 (02) : 168 - 174
  • [29] A scale-dependent cosmology for the inhomogeneous Universe
    Kim, CW
    Lee, TH
    Song, J
    [J]. NUCLEAR PHYSICS B, 1996, : 119 - 121
  • [30] Scale-Dependent Models for Atmospheric Flows
    Klein, Rupert
    [J]. ANNUAL REVIEW OF FLUID MECHANICS, 2010, 42 : 249 - 274
12345