Fractal Geometry of Random Cantor Sets

机译：随机Cantor集的分形几何

获取原文

页面导航

摘要
著录项
相似文献
相关主题

摘要

Random Cantor sets are defined in a way similar to the classical middle thirdCantor set by removing recursively, but randomly, smaller and smaller parts of a compact set in Euclidean space. The resulting sets have a rich structure, in fact some of them are no Cantor sets at all, a phenomenon called fractal percolation which was first conjectured by Benoit Mandelbrot. We shall give an overview of some of the properties of random Cantor sets as e.g. Hausdorff dimension, the size of projections and connectedness. Finally we introduce and discuss random Cantor sets with neighbor interaction.

著录项

作者
Dekking, F. M.;
展开▼
作者单位

展开▼
年度 1996
页码 p.1-31
总页数 31
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Fractals; Euclidean space; Substitution; Branching(Mathematics); Set theory; Randomvariables; Hausdorff space; Theorem proving;

机译：分形;欧氏空间;替代;分支（数学）;集合论;随机变量; Hausdorff空间;定理证明;

相似文献

外文文献
中文文献
专利

1. The measure functions of random Cantor set and fractals determined by subordinators [J] . HU Xiaoyu Chinese science bulletin . 1995,第6期

机译：从属者确定随机Cantor集和分形的度量函数
2. The measure functions of random Cantor set and fractals determined by subordinates [J] . HU Xiaoyu Chinese science bulletin . 1995,第6期

机译：下位决定随机Cantor集和分形的度量函数
3. Elements of fractal geometry in the 1H NMR spectrum of a copolymer intercalation-complex: identification of the underlying Cantor set [J] . John S. Shaw, Rajendran Vaiyapuri, Matthew P. Parker, Chemical science . 2018,第17期

机译：共聚物嵌入式1H NMR光谱中分形几何的元素 - 复合物的识别
4. Linear Ultrasonic Array Development Incorporating Cantor Set Fractal Geometry [C] . H. Fang, Z. Qiu, R. L. OLeary, IEEE International Ultrasonics Symposium . 2018

机译：结合Cantor集分形几何的线性超声阵列开发
5. The Noncommutative Geometry of ultrametric Cantor sets [D] . Pearson, John Clifford 2008

机译：超度量Cantor集的非交换几何
6. Elements of fractal geometry in the 1H NMR spectrum of a copolymer intercalation-complex: identification of the underlying Cantor set [O] . John S. Shaw, Rajendran Vaiyapuri, Matthew P. Parker, 2018

机译：共聚物插层复合物的1H NMR光谱中的分形几何元素：潜在的Cantor集的标识
7. Gaussian field theories, random Cantor sets and multifractality [O] . Chamon, Claudio de C., Mudry, Christopher, Wen, Xiao-Gang 1995

机译：高斯场理论，随机Cantor集和多重分形
8. Applications of Dynamical Systems Theory to Fractals: A Study of Cookie-Cutter Cantor Sets [R] . Bedford, T. 1989

机译：动力系统理论在分形中的应用 - 曲奇切割器康托尔集的研究

Fractal Geometry of Random Cantor Sets

摘要

著录项

相似文献

相关主题

期刊订阅