LINEARLY REPETITIVE DELONE SYSTEMS HAVE A FINITE NUMBER OF NONPERIODIC DELONE SYSTEM FACTORS

被引：6

作者：

Isabel Cortez, Maria ^{[1
]}

Durand, Fabien ^{[2
]}

Petite, Samuel ^{[2
]}

机构：

[1] Univ Santiago Chile, Dept Matemat & Ciencia Computac, Santiago, Chile

[2] Univ Picardie Jules Verne, CNRS, UMR 6140, Lab Amienois Math Fondamentale & Appl, F-80039 Amiens, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 03期

关键词：

Delone sets; tiling systems factor maps; linearly repetitive; Voronoi cell; TILING DYNAMICAL-SYSTEMS; PRIME FLOWS; SUBSHIFTS;

D O I：

10.1090/S0002-9939-09-10139-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1033 / 1046

页数：14

共 17 条

[1] Tower systems for linearly repetitive Delone sets
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[2] Linearly repetitive Delone sets are rectifiable
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[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2013, 30 (02): : 275 - 290
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[4] Aperiodic Linearly Repetitive Delone Sets Are Densely Repetitive
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[J]. Discrete & Computational Geometry, 2004, 31 : 323 - 326
[5] Discrepancy and rectifiability of almost linearly repetitive Delone sets
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[J]. NONLINEARITY, 2022, 35 (12) : 6204 - 6217
[6] NUMBER OF BOUNDED DISTANCE EQUIVALENCE CLASSES IN HULLS OF REPETITIVE DELONE SETS
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[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (03) : 1403 - 1414
[7] Validation of the Delone and McLean information systems success model: a study on student information system
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[J]. Education and Information Technologies, 2022, 27 : 4709 - 4727
[8] Validation of the Delone and McLean information systems success model: a study on student information system
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[J]. EDUCATION AND INFORMATION TECHNOLOGIES, 2022, 27 (04) : 4709 - 4727
[9] Linearly recurrent subshifts have a finite number of non-periodic subshift factors
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[10] Linearly recurrent subshifts have a finite number of non-periodic factors (vol 20, pg 1061, 2000)
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[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2003, 23 : 663 - 669

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