Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies

Baake M, Lenz D, Richard C (2007)


Publication Type: Journal article

Publication year: 2007

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 82

Pages Range: 61-77

Journal Issue: 1

URI: http://link.springer.com/article/10.1007/s11005-007-0186-7

DOI: 10.1007/s11005-007-0186-7

Abstract

Delone sets of finite local complexity in Euclidean space are investigated. We show that such a set has patch counting and topological entropy zero 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.

Authors with CRIS profile

Involved external institutions

How to cite

APA:

Baake, M., Lenz, D., & Richard, C. (2007). Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies. Letters in Mathematical Physics, 82(1), 61-77. https://dx.doi.org/10.1007/s11005-007-0186-7

MLA:

Baake, Michael, Daniel Lenz, and Christoph Richard. "Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies." Letters in Mathematical Physics 82.1 (2007): 61-77.

BibTeX: Download