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math.DS2008
Linearly repetitive Delone systems have a finite number of non periodic Delone system factors
Maria Isabel Cortez, Fabien Durand, Samuel Petite
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.
math.DS2004
On invariant measures of finite affine type tilings
S. Petite
In this paper, we consider tilings of the hyperbolic 2-space, built with a finite number of polygonal tiles, up to affine transformation. To such a tiling T, we associate a space o…