Weak mixing implies mixing for maps on topological graphs

被引：5

作者：

Banks, J ^{[1
]}

Trotta, B ^{[1
]}

机构：

[1] La Trobe Univ, Dept Math, Bundoora, Vic 3086, Australia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2005年 / 11卷 / 12期

关键词：

maps on topological graphs; topologically mixing; topologically weakly mixing; one-dimensional manifolds;

D O I：

10.1080/1023619050029557

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In section 1, we correct an error in the proof of Lemma 3.1 in L. Alsed, M.A. del Rio, and J.A. Rodriguez. Transitivity and dense periodicity for graph maps. J. Difference Equ. Appl. 9, 577-598, 2003. In section 2 we give a simple proof that weak mixing implies mixing for maps on topological graphs. The proofs can also be extended to (not necessarily compact) intervals, so in particular, this paper shows that for one-dimensional manifolds, weak mixing implies mixing.

引用

页码：1071 / 1080

页数：10

共 10 条

[1] Entropy of transitive tree maps [J].