Scaling properties of generalized Carlitz sequences of polynomials
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).
scaling numeration systems polynomial sequences number representations geometric limits self-similarity fractals