Scaling properties of generalized Carlitz sequences of polynomials

被引：2
|
作者：
Barbé, A
von Haeseler, F
Skordev, G
机构：
[1] Katholieke Univ Leuven, Dept Elect Engn, B-3001 Louvain, Belgium
[2] Univ Bremen, Cevis, D-28359 Bremen, Germany
来源：
DISCRETE APPLIED MATHEMATICS | 2004年 / 143卷 / 1-3期
关键词：
polynomial sequences; number representations; numeration systems; scaling; geometric limits; self-similarity; fractals;
D O I：
10.1016/j.dam.2004.02.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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). (C) 2004 Elsevier B.V. All rights reserved.
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页码：166 / 181
页数：16
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