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

Cortez, María; Durand, Fabien; Petite, Samuel

doi:10.1090/S0002-9939-09-10139-9

Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors
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by María Isabel Cortez, Fabien Durand and Samuel Petite PDF

Proc. Amer. Math. Soc. 138 (2010), 1033-1046 Request permission

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.

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