Certain discrete dynamical systems, number systems and related integral self-affine sets

Authors:
Xiaojiang Yu
Affiliations:
-
Venue:
Theoretical Computer Science
Year:
2013

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Abstract

We consider certain discrete dynamical systems, conventional number systems and redundant number systems for Z^2, which are associated with certain 2x2 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.