Self-similar carpets over finite fields

Details Self-similar carpets over finite fields Self-similar carpets over finite fields

2007-08-07

arxiv.org/abs/0708.0899v1

Mathematics

Number Theory

14 pages, some latex figures in text (no separate files) These results have been presented at CiE 2007, Siena, Italy

Scientific paper

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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