International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS
$p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia




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Livat B. Tyapaev

Discrete Dynamical Systems and Automata

Abstract

We would like to present a representation of automata behavior with geometrical images as a sets of points with rational coordinates. We investigate functions over $p$-adic integers and related dynamical systems, associated with automata. We also give the criteria of transitivity of family such mappings. We also investigate properties of affine transformations of geometrical images of automata.