Article ID Journal Published Year Pages File Type
420447 Discrete Applied Mathematics 2009 15 Pages PDF
Abstract

By defining the mmth graphical representation of a (U,r)(U,r)-Carlitz sequence of polynomials, we visualize the nonzero elements in a number table of coefficients of the first mm polynomials. When appropriately scaled, these graphical representations are compact sets contained in a fixed closed rectangle. We established the condition under which a subsequence of these scaled graphical representations converges to a compact set with respect to the Hausdorff metric. Furthermore, under the same condition, the limit set is shown to have self-affine property which can be deciphered in terms of graph directed self-affine iterated function system (GAIFS).

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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