Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors-Reference-Cited by-同舟云学术

Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors

Published:2009-11-02 Issue:3 Volume:138 Page:1033-1046
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cortez María,Durand Fabien,Petite Samuel

Abstract

In this paper we prove linearly repetitive Delone systems have finitely many Delone system factors up to conjugacy. This result is also applicable to linearly repetitive tiling systems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-03/S0002-9939-09-10139-9/S0002-9939-09-10139-9.pdf

Reference16 articles.

1. Codages de rotations et phénomènes d’autosimilarité;Adamczewski, Boris;J. Th\'{e}or. Nombres Bordeaux,2002

2. Linearly recurrent circle map subshifts and an application to Schrödinger operators;Adamczewski, B.;Ann. Henri Poincar\'{e},2002

3. Linearly recurrent subshifts have a finite number of non-periodic subshift factors;Durand, Fabien;Ergodic Theory Dynam. Systems,2000

4. Corrigendum and addendum to: “Linearly recurrent subshifts have a finite number of non-periodic subshift factors” [Ergodic Theory Dynam. Systems 20 (2000), no. 4, 1061–1078; MR1779393 (2001m:37022)];Durand, Fabien;Ergodic Theory Dynam. Systems,2003

5. Substitutional dynamical systems, Bratteli diagrams and dimension groups;Durand, F.;Ergodic Theory Dynam. Systems,1999

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