Scaling properties of generalized Carlitz sequences of polynomials

Authors:
A. Barbé;F. von Haeseler;G. Skordev
Affiliations:
Katholieke Universiteit Leuven, Department of Electrical Engineering, Kasteelpark Arenberg 10, 3001 Leuven, Belgium;Katholieke Universiteit Leuven, Department of Electrical Engineering, Kasteelpark Arenberg 10, 3001 Leuven, Belgium;Cevis, Universität Bremen, Universitätsallee 29, 28359 Bremen, Germany
Venue:
Discrete Applied Mathematics
Year:
2004

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Abstract

We consider graphical representations of generalized Carlitz sequences of polynomials. These generalized Carlitz sequences are based on certain numeration systems of the natural numbers. We establish conditions under which a sequence of properly rescaled graphical representations converges to a limit (w.r.t. Hausdorff distance).