Some Examples of Minimal Cantor Sets for Iterated Function Systems with Overlap

Katsutoshi SHINOHARA

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Some Examples of Minimal Cantor Sets for Iterated Function Systems with Overlap

机译：具有重叠的迭代函数系统的最小Cantor集的一些示例

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摘要

We give some examples of iterated function systems (IFSs) with overlap on the interval such that the semigroup action they give rise to has a minimal set homeomorphic to the Cantor set.

机译：我们给出了在间隔上有重叠的迭代函数系统（IFS）的一些示例，以使它们引起的半群作用对Cantor集具有最小的同胚性。

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来源
《Tokyo journal of mathematics》 |2014年第1期|共12页
作者
Katsutoshi SHINOHARA;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
IFS with overlap; Cantor set; semigroup action; minimality;

机译：有重叠的IFS;康托集;半群作用;极小;

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专利

1. Some Examples of Minimal Cantor Sets for Iterated Function Systems with Overlap [J] . Katsutoshi SHINOHARA Tokyo journal of mathematics . 2014,第1期

机译：具有重叠的迭代函数系统的最小Cantor集的一些示例
2. On the structures of generating iterated function systems of Cantor sets [J] . Feng DJ, Wang Y Advances in Mathematics . 2009,第6期

机译：关于康托集迭代函数系统生成的结构
3. PARAMETRIC ITERATIVE FUNCTION SYSTEM FOR THE CONTINUUM GROWTH: CANTOR SET CASE [J] . Gutierrez-Hernandez Sebastian, Bory-Reyes Juan Fractals: An interdisciplinary journal on the complex geometry of nature . 2019,第5期

机译：连续增长的参数迭代功能系统：陈列柜
4. Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps [C] . Eugen Mihailescu, Mariusz Urbański AMS Special Session on Fractal Geometry in Pure and Applied Mathematics in Memory of Benoit Mandelbrot;AMS Special Session on Geometry and Analysis on Fractal Spaces . 2013

机译：Hausdorff的极限集可数迭代功能系统的尺寸重叠
5. Crossed product C*-algebras of minimal dynamical systems on the product of the Cantor set and the torus. [D] . Sun, Wei. 2010

机译：Cantor集和圆环的乘积上的最小动力学系统的交叉乘积C *-代数。
6. ON MONOTONIC FUNCTIONS WHOSE SPECTRUM IS A CANTOR SET WITH CONSTANT RATIO OF DISSECTION [O] . R. Salem 1955

机译：关于谱是常数剖分的康托集的单调函数
7. On the structures of generating iterated function systems of Cantor sets [O] . De-jun Feng, Yang Wang 2015

机译：关于Cantor集迭代函数系统生成的结构

Some Examples of Minimal Cantor Sets for Iterated Function Systems with Overlap

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