Mihai Prunescu
Published 2007-08-07Version 1
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.
Comments: 14 pages, some latex figures in text (no separate files) These results have been presented at CiE 2007, Siena, Italy
Additive Decompositions of Subgroups of Finite Fields
Fourier analysis and expanding phenomena in finite fields
Combinatorial problems in finite fields and Sidon sets
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