Self-similar carpets over finite fields
Number Theory
2007-08-08 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.0708.0899,
title = {Self-similar carpets over finite fields},
author = {Mihai Prunescu},
journal= {arXiv preprint arXiv:0708.0899},
year = {2007}
}
Comments
14 pages, some latex figures in text (no separate files) These results have been presented at CiE 2007, Siena, Italy