Self-similar tiling systems, topological factors and stretching factors

Details Self-similar tiling systems, topological factors and stretching factors Self-similar tiling systems, topological factors and stretching factors

2007-12-28

arxiv.org/abs/0712.4334v1

Mathematics

Dynamical Systems

Scientific paper

In this paper we prove that if two self-similar tiling systems, with
respective stretching factors $\lambda_1$ and $\lambda_2$, have a common factor
which is a non periodic tiling system, then $\lambda_1$ and $\lambda_2$ are
multiplicatively dependent.

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