MEASUREMENT OF DISORDER IN NONPERIODIC SEQUENCES

被引:22
作者
BURROWS, BL [1 ]
SULSTON, KW [1 ]
机构
[1] UNIV WATERLOO,DEPT APPL MATH,WATERLOO N2L 3G1,ONTARIO,CANADA
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 16期
关键词
D O I
10.1088/0305-4470/24/16/032
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An information theoretic measure is introduced to compare the disorder in non-periodic sequences. It is shown that the measure correctly distinguishes quasiperiodic and aperiodic sequences which have been deduced from earlier studies using diffraction patterns, although it is often necessary to use a set of measures, depending on the order of the source used. The particular sequences studied are the Thue-Morse sequence and the generalizations of the golden mean sequence commonly studied in connection with quasicrystals.
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页码:3979 / 3987
页数:9
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