[1]徐卫忠,陈尔明.无限差集类的性质及其应用[J].华侨大学学报(自然科学版),2009,30(6):715-717.[doi:10.11830/ISSN.1000-5013.2009.06.0715]
　XU Wei-zhong,CHEN Er-ming.Characters of Infinite Difference Sets and Its Application[J].Journal of Huaqiao University(Natural Science),2009,30(6):715-717.[doi:10.11830/ISSN.1000-5013.2009.06.0715]
点击复制

无限差集类的性质及其应用()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第30卷
期数:
2009年第6期
页码:
715-717
栏目:
出版日期:
2009-11-20

文章信息/Info

Title:
Characters of Infinite Difference Sets and Its Application
文章编号:
1000-5013(2009)06-0715-03
作者:
徐卫忠; 陈尔明
华侨大学数学科学学院
Author(s):
XU Wei-zhong;  CHEN Er-ming
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
无限差集类;  族;  对偶族;  拓扑可迁;  平移不变
Keywords:
collection of infinite difference sets;  family;  dual family;  topological transitive;  translation invariant
分类号:
O189.3
DOI:
10.11830/ISSN.1000-5013.2009.06.0715
文献标志码:
A
摘要:
研究由Z+的子集族F生成的无限差集类φF-Δ={S-S|S∈F},其对偶族KφF-Δ,以及族F-={S∈P|S-S∈F}的性质,给出它们在平移负不变条件下的关系,并讨论它们在动力系统研究中的应用.
Abstract:
Let F be a family for Z+,F generate a collection of infinite difference sets φF-Δ={S-S|S∈F}.In this paper,we study the properties of φF-Δ and its dual family KφF-Δ and the family F={S∈P|S-S∈F},figure out their relations under the translation minus invariant conditions,and discuss their application in topological dynamics.

参考文献/References:

[1] 杨润生. 无限差集类及其应用 [J]. 数学学报, 2005(3):457-464.
[2] FURSTENBERG H. Recurrence in ergodic theory and combinatorial number theory [M]. Princeton, New Jersey:Princeton University Press, 1981.
[3] WEISS B. Single orbit dynamics [M]. Providence:AMS Bookstore, 2000.
[4] YANG Run-sheng. Topological ergodic maps [J]. Acta Mathematica Sinica, 2001(6):1063-1068.doi:10.3321/j.issn:0583-1431.2001.06.012.

相似文献/References:

[1]许清,陈尔明.超空间上F-混合性的一点注记[J].华侨大学学报(自然科学版),2011,32(6):718.[doi:10.11830/ISSN.1000-5013.2011.06.0718]
　XU Qing,CHEN Er-ming.A Note on F-Mixing in Hyperspace Maps[J].Journal of Huaqiao University(Natural Science),2011,32(6):718.[doi:10.11830/ISSN.1000-5013.2011.06.0718]

备注/Memo

备注/Memo:
福建省自然科学基金资助项目(S0650017)
更新日期/Last Update: 2014-03-23