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Linguistic Fractal Analysis of Symbolic Sequences

José Manuel Gutiérrez
Organization: University of Cantabria
Department: Department of Applied Mathematics and Computational Science
A.S. Cofiño
Organization: University of Cantabria
Paul Abbott
Organization: University of Western Australia
Department: Physics

2003 International Mathematica Symposium
Conference location

Imperial College, London

In this paper we present tools for linguistic fractal analysis of symbolic sequences -- sequences of formal symbols from a given alphabet. We introduce a method for graphically representing and analyzing symbolic sequences based on fractal Iterated Function Systems (IFSs). This method gives a visual description (a pattern) of the structure of the subsequences within the original sequence, and permits quantitative characterization of the resulting patterns. We present a number of examples and also demonstrate the use of J/Link for importing sequences and speeding up the computations.

*Mathematica Technology > Linking Technology > J/Link
*Science > Biology

fractal Iterated Function Systems, graphical representation, symbolic sequences, J/Link, precipitation, DNA sequences, quantitative characterization: Zipf's Law, linguistic fractal analysis, symbolic sequences
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