Invariant measures for subshifts arising from substitutions of some primitive components

被引：0
|
作者：
Hama, Masaki [1 ]
Yuasa, Hisatoshi [1 ]
机构：
[1] Bunkyo Gakuin Coll, Dept English Language & Literature, Bunkyo Ku, Tokyo 1138668, Japan
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2011年 / 40卷 / 02期
关键词：
non-primitive substitution; subshift; invariant measure; ergodicity; BRATTELI DIAGRAMS; MINIMAL SYSTEMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of substitutions of some primitive components is introduced. A bilateral subshift arising from a substitution of some primitive components is decomposed into pairwise disjoint, locally compact, shift-invariant sets, on each of which an invariant Radon measure is unique up to scaling. In terms of eigenvalues of an incidence matrix associated with the substitution, it is completely characterized when the unique invariant measure is finite.
引用
收藏
页码：279 / 312
页数：34
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