Scaling of the Thue-Morse Diffraction Measure

被引：7

作者：

Baake, M. ^{[1
]}

Grimm, U. ^{[2
]}

Nilsson, J. ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England

来源：

ACTA PHYSICA POLONICA A | 2014年 / 126卷 / 02期

关键词：

SPECTRAL MEASURE; DIMENSIONS;

D O I：

10.12693/APhysPolA.126.431

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We revisit the well-known and much studied Riesz product representation of the Thue-Morse diffraction measure, which is also the maximal spectral measure for the corresponding dynamical spectrum in the complement of the pure point part. The known scaling relations are summarised, and some new findings are explained.

引用

页码：431 / 434

页数：4

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