Complexity : hierarchical structures and scaling in physics

書誌事項

Complexity : hierarchical structures and scaling in physics

R. Badii, A. Politi

(Cambridge nonlinear science series, 6)

Cambridge University Press, 1997

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This is a comprehensive discussion of complexity as it arises in physical, chemical, and biological systems, as well as in mathematical models of nature. Common features of these apparently unrelated fields are emphasised and incorporated into a uniform mathematical description, with the support of a large number of detailed examples and illustrations. The quantitative study of complexity is a rapidly developing subject with special impact in the fields of physics, mathematics, information science, and biology. Because of the variety of the approaches, no comprehensive discussion has previously been attempted. This book will be of interest to graduate students and researchers in physics (nonlinear dynamics, fluid dynamics, solid-state, cellular automata, stochastic processes, statistical mechanics and thermodynamics), mathematics (dynamical systems, ergodic and probability theory), information and computer science (coding, information theory and algorithmic complexity), electrical engineering and theoretical biology.

目次

  • Part I. Phenomenology and Models: 1. Introduction
  • 2. Examples of complex behaviour
  • 3. Mathematical models
  • Part II: 4. Symbolic representations of physical systems
  • 5. Probability, ergodic theory, and information
  • 6. Thermodynamic formalism
  • Part III. Formal Characterization of Complexity: 7. Physical and computational analysis of symbolic signals
  • 8. Algorithmic and grammatical complexities
  • 9. Hierarchical scaling complexities
  • 10. Summary and perspectives.

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