A Simple Condition for Bounded Displacement

Details A Simple Condition for Bounded Displacement A Simple Condition for Bounded Displacement

2011-11-07

arxiv.org/abs/1111.1690v2

Mathematics

Dynamical Systems

Scientific paper

We study separated nets that correspond to substitution tilings of the
Euclidean space. We give a simple condition, in terms of the eigenvalues and
eigenspaces of the substitution matrix, to know whether the separated net is a
bounded displacement of the integer lattice or not.

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