General Mathematics


Polynomial Representations and Primordial Self-Similarity in the Hierarchy of Universal Lexicons

Authors: T. E. Raptis

A set of fundamental objects is presented that facilitates derivation of some new results with special interest in a variety of topics including Chu spaces, dynamical systems, symbolic dynamics and the theory of polynomials. Three alternative representations of the power set of binary patterns in their associated exponential intervals are presented in terms of polynomials and a natural conjecture on their fractal structure is deduced. Practical applications in Automata theory and Digital Signal Processing are proposed based on special functions defined on the new representation.

Comments: 30 pages. submitted in "Chaos, Solitons & Fractals"

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Submission history

[v1] 16 Mar 2011
[v2] 27 Mar 2011
[v3] 19 Apr 2011

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