Pure Point Diffraction Implies Zero Entropy for Delone Sets with Uniform Cluster Frequencies
نویسنده
چکیده
Delone sets of finite local complexity in Euclidean space are investigated. We show that such a set has patch counting and topological entropy 0 if it has uniform cluster frequencies and is pure point diffractive. We also note that the patch counting entropy vanishes whenever the repetitivity function satisfies a certain growth restriction. 2000 AMS Subject Classification: 37A35, 37B40, 52C23
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تاریخ انتشار 2007