Bounded displacement non-equivalence in substitution tilings

Author:

Frettlöh Dirk,Smilansky Yotam,Solomon Yaar

Funder

Center For Advanced Studies In Mathematics in Ben-Gurion University

Research Centre of Mathematical Modelling (RCM2) at Bielefeld University

David and Rosa Orzen Endowment Fund via an Orzen Fellowship

ISF

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference21 articles.

1. Linearly repetitive Delone sets are rectifiable;Aliste-Prieto;Ann. Inst. Henri Poincaré, Anal. Non Linéaire,2013

2. Aperiodic Order. Volume 1: A Mathematical Invitation;Baake,2013

3. Separated nets in Euclidean space and Jacobians of biLipschitz maps;Burago;Geom. Funct. Anal.,1998

4. Some examples of repetitive, non-rectifiable Delone sets;Cortez;Geom. Topol.,2016

5. A note on paradoxical metric spaces;Deuber;Studia Sci. Math. Hung.,1995

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1. Divergence of separated nets with respect to displacement equivalence;Geometriae Dedicata;2023-11-17

2. Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings;Journal of Mathematical Analysis and Applications;2022-12

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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