无限差集类及其应用  

Collection of Infinite Difference Sets and Its Application

作　　者：杨润生[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,南京210097

出　　处：《数学学报（中文版）》2005年第3期457-464,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10271057)

摘　　要：若S为Z+的一无限子集,称S-S={n-m|n,m∈S,n>m}为一无限差集.本文研究Z+的子集族F生成的无限差集类(?)F-△={S-S|S∈F)及其对偶族K(?)F-△的性质,并讨论它们在动力系统研究中的应用.If S is an infinite subset of Z+, the set S - S = {n - m | n, m ∈ S, n > m} is called an infinite difference set. Let F be a family for Z+, F generate a collection of infinite difference sets (?)F-△ = {S - S|S ∈ F}. In this paper, we shall study the properties of (?)F-△ and its dual family K(?)F-△, and discuss their appication in topological dynamics.

关 键 词：无限差集类 族F-2扩散 扩散 

分 类 号：O189.3[理学—数学]