Certain discrete dynamical systems, number systems and related integral self-affine sets
We consider certain discrete dynamical systems, conventional number systems and redundant number systems for Z(2), which are associated with certain 2 x 2 integral expansive matrices and collinear digit sets for them. Using integral self-affine sets in R-n we also give a geometric characterization to attractors of certain discrete dynamical systems and associated redundant number systems for Z(n). (c) 2012 Elsevier B.V. All rights reserved.
discrete dynamical system number system integral self-affine set transducer automaton