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Linguistic Fractal Analysis of Symbolic Sequences
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| Organization: | University of Cantabria |
| Department: | Department of Applied Mathematics and Computational Science |
| Organization: | University of Cantabria |
| Organization: | University of Western Australia |
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2003 International Mathematica Symposium
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Imperial College, London
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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.
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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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