Delone Sets and Dynamical Systems

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2 Scopus citations

Abstract

In these notes we focus on selected topics around the themes: Delone sets as models for quasicrystals, inflation symmetries and expansion constants, substitution Delone sets and tilings, and associated dynamical systems.

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages1-32
Number of pages32
DOIs
StatePublished - 2020

Publication series

NameLecture Notes in Mathematics
Volume2273
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

Bibliographical note

Publisher Copyright:
© 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.

Funding

Acknowledgments Thanks to CIRM, Luminy, for hospitality and for providing a perfect work environment. The author is grateful to Shigeki Akiyama, the 2017 Morlet Chair, and to Pierre Arnoux for the invitation and for running a very successful and stimulating program. Valuable comments and suggestions from M. Baake and anonymous referees are gratefully acknowledged. Additional thanks are due to S. Akiyama and an anonymous volunteer for their help with the figures. The research of B.S. was supported by the Israel Science Foundation (Grant 396/15). Thanks to CIRM, Luminy, for hospitality and for providing a perfect work environment. The author is grateful to Shigeki Akiyama, the 2017 Morlet Chair, and to Pierre Arnoux for the invitation and for running a very successful and stimulating program. Valuable comments and suggestions from M. Baake and anonymous referees are gratefully acknowledged. Additional thanks are due to S. Akiyama and an anonymous volunteer for their help with the figures. The research of B.S. was supported by the Israel Science Foundation (Grant 396/15).

FundersFunder number
Shigeki Akiyama
California Institute for Regenerative Medicine
Israel Science Foundation396/15

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