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Multiscale analysis of complex systems.

P M Binder1, J A Plazas

  • 1Departamento de Física, Universidad de Los Andes, Apartado Aéreo 4976, Bogotá, Colombia. p@fao.uniandes.edu.co

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
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We analyzed complexity in strings from different generation methods. Block information profiles effectively diagnose string complexity, offering insights into their underlying structure.

Area of Science:

  • Complexity science
  • Information theory
  • Dynamical systems

Background:

  • Understanding the complexity of generated strings is crucial in various scientific fields.
  • Dynamical processes generate strings with varying degrees of order and randomness.

Purpose of the Study:

  • To introduce and evaluate block information versus size profiles as a complexity diagnostic tool.
  • To compare the complexity profiles of strings generated by random, periodic, regular language, and substitutive processes.

Main Methods:

  • Calculation of block information versus size profiles for generated strings.
  • Analysis of profiles for strings from four distinct dynamical processes: random, periodic, regular language, and substitutive.

Main Results:

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  • Distinct dynamical processes yield unique block information versus size profiles.
  • These profiles serve as effective indicators of the complexity inherent in the generated strings.
  • The study demonstrates the diagnostic power of these profiles across different string generation mechanisms.

Conclusions:

  • Block information versus size profiles are a valuable tool for quantifying and differentiating string complexity.
  • The findings contribute to a deeper understanding of the relationship between generation processes and string complexity.