| 一类特殊自仿集的连通性 |
| |
| 引用本文： | 田野,陈瑾,苏健强,莫倩萍.一类特殊自仿集的连通性[J].汕头大学学报(自然科学版),2014(2):11-17. |
| |
| 作者姓名： | 田野 陈瑾 苏健强 莫倩萍 |
| |
| 作者单位： | 汕头大学理学院数学系,广东汕头515063 |
| |
| 基金项目： | 汕头大学理学院“本科生研究计划”项目;致谢：感谢汕头大学理学院“本科生研究计划”项目,感谢罗军老师的指导. |
| |
| 摘 要： | 本文研究了由扩张矩阵A=(0±31 0)分别与两类数字集D1={0,v,kAv}和D2={0,v,kAv}生成的自仿集T(A,D)的连通性,其中k∈Z\{0},k∈Z 2\{0}.通过分析一个生成邻居的算法,发现了参量k对于(A,D)连通性的影响,并且得到自仿集T(A,D)连通的充要条件.
|
| 关 键 词： | 自仿集 连通性 邻居 |
Connectedness of Special Self-Affine Sets |
| |
| TIAN Ye,CHEN Jin,SU Jianqiang,MO Qianping.Connectedness of Special Self-Affine Sets[J].Journal of Shantou University(Natural Science Edition),2014(2):11-17. |
| |
| Authors: | TIAN Ye CHEN Jin SU Jianqiang MO Qianping |
| |
| Institution: | (Department of Mathematics, College of Science, Shantou University, Shantou 515063, Guangdong, China) |
| |
| Abstract: | The connectedness of the self-affine sets T（A,D） generated by expandingmatrices A=（0±31 0）and the collinear digit set D1 = {0,v,kAv} or DE = {0,v,kAv} thenon-collinear digit set T（A,D） is studied k∈Z／{0} and k∈Z 2／{0}. By examining a neighborgenerating algorithm, the effect of the parameter k on （A,D） connectedness is determined. Several equivalent conditions for self-affine sets to be connected are obtained. |
| |
| Keywords: | self-affine set connectedness neighborhood |
| 本文献已被 维普 等数据库收录！ |
|
