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Self-similar tiling systems, topological factors and stretching factors - MaRDI portal

Self-similar tiling systems, topological factors and stretching factors (Q1006395)

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Self-similar tiling systems, topological factors and stretching factors
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    Self-similar tiling systems, topological factors and stretching factors (English)
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    24 March 2009
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    There are considered two self-similar tiling systems satisfying the finite pattern condition, with respective stretching factors \(\lambda_1\) and \(\lambda_2\). It is proved that if \(\lambda_1\) and \(\lambda_2\) have a common factor which is a nonperiodic tiling system, then they are multiplicatively dependent.
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    Tiling
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    Self-similar
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    Factor maps
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    Stretching factor
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    Cobham theorem
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