Self-similar carpets over finite fields
classification
🧮 math.NT
math.CO
keywords
fieldsself-similarcarpetsfiniteprovedaperiodiccanonicalcharacter
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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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