TILING AND LOCAL RANK PROPERTIES OF THE MORSE SEQUENCE

被引:8
作者
FERENCZI, S
机构
[1] LMD, CNRS-UPR 9016, F-13288 Marseille, Case 930
关键词
D O I
10.1016/0304-3975(94)90034-5
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We study some combinatoric properties of the Morse sequence, linked with its ergodic properties of local rank one and local funny rank one; we show that the maximum part of the Morse sequence that may be covered by disjoint translates of one word is exactly of density 2/3, even allowing for some errors in the tiling; when we replace words by patterns (words with holes), 2/3 can be replaced by at least 5/6.
引用
收藏
页码:369 / 383
页数:15
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