Self-similarities and invariant densities for model sets

被引：0

作者：

Baake, M ^{[1
]}

Moody, RV ^{[1
]}

机构：

[1] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany

来源：

ALGEBRAIC METHODS IN PHYSICS: SYMPOSIUM FOR THE 60TH BIRTHDAYS OF JIRI PATERA AND PAVEL WINTERNITZ | 2001年

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Model sets (also called cut and project sets) are generalizations of lattices. Here we show how the self-similarities of model sets are a natural replacement for the group of translations of a lattice. This leads us to the concept of averaging operators and invariant densities on model sets. We prove that invariant densities exist and that they produce absolutely continuous invariant measures in internal space. We study the invariant densities and their relationships to diffraction, continuous refinement operators, and Hutchinson measures.

引用

页码：1 / 15

页数：15

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