Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary

Author:

Frettlöh Dirk,Garber Alexey

Funder

Research Center for Mathematical Modelling of Bielefeld University

Publisher

Elsevier BV

Subject

General Mathematics

Reference31 articles.

1. On the Pisot Conjecture;Akiyama,2015

2. Determining pure discrete spectrum for some self-affine tilings;Akiyama;Discrete Math. Theor. Comput. Sci.,2014

3. Algorithm for determining pure pointedness of self-affine tilings;Akiyama;Adv. Math.,2011

4. Aperiodic Order;Baake,2013

5. Kolakoski-(3,1) is a (deformed) model set;Baake;Canad. Math. Bull.,2004

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1. Elementary Fractal Geometry. 3. Complex Pisot Factors Imply Finite Type;Discrete & Computational Geometry;2024-07-20

2. Catalan numbers as discrepancies for a family of substitutions on infinite alphabets;Indagationes Mathematicae;2023-07

3. Number of bounded distance equivalence classes in hulls of repetitive Delone sets;Discrete & Continuous Dynamical Systems;2022

4. A dichotomy for bounded displacement equivalence of Delone sets;Ergodic Theory and Dynamical Systems;2021-06-18

5. Multiscale substitution tilings;Proceedings of the London Mathematical Society;2021-04-19

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