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arXiv · 0708.0899

Self-similar carpets over finite fields

Mihai Prunescu
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Abstract

Some linear dynamical systems over finite fields are studied and the self-similar character of their development is proved. Connections with aperiodic tilings, Delanoy numbers and other topics are also proved. The prime fields F_p have a canonical presentation as sets of self-similar carpets. The multiplicative inverse corresponds to mirroring.

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Mihai Prunescu. 2007-08-07. Self-similar carpets over finite fields. https://arxiv.org/abs/0708.0899

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