Self-similar tiling systems, topological factors and stretching factors
classification
🧮 math.DS
keywords
lambdafactorstilingself-similarstretchingsystemscommondependent
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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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