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By Remo Badii
By Antonio Politi
Publisher: Cambridge University Press
Print Publication Year:1997
Online Publication Date:October 2009
Online ISBN:9780511524691
Hardback ISBN:9780521418904
Paperback ISBN:9780521663854
Book DOI: http://dx.doi.org/10.1017/CBO9780511524691
Subjects: Statistical Physics , Theoretical Physics and Mathematical Physics
This is a comprehensive discussion of complexity as it arises in physical, chemical and biological systems, as well as in mathematical models of nature. The aim of this book is to illustrate the ways in which complexity manifests itself and to introduce a sequence of increasingly sharp mathematical methods for the classification of complex behavior. 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.
Reviews:
pp. i-vi
pp. vii-x
pp. xi-xiv
Part 1 - Phenomenology and models: Read PDF
pp. 1-2
Chapter 1 - Introduction: Read PDF
pp. 3-11
Chapter 2 - Examples of complex behaviour: Read PDF
pp. 12-31
Chapter 3 - Mathematical models: Read PDF
pp. 32-66
Part 2 - Mathematical tools: Read PDF
pp. 67-68
Chapter 4 - Symbolic representations of physical systems: Read PDF
pp. 69-84
Chapter 5 - Probability, ergodic theory, and information: Read PDF
pp. 85-118
Chapter 6 - Thermodynamic formalism: Read PDF
pp. 119-162
Part 3 - Formal characterization of complexity: Read PDF
pp. 163-164
Chapter 7 - Physical and computational analysis of symbolic signals: Read PDF
pp. 165-212
Chapter 8 - Algorithmic and grammatical complexities: Read PDF
pp. 213-247
Chapter 9 - Hierarchical scaling complexities: Read PDF
pp. 248-276
Chapter 10 - Summary and perspectives: Read PDF
pp. 277-280
Appendix 1 - The Lorenz model: Read PDF
pp. 281-282
Appendix 2 - The horseshoe map: Read PDF
pp. 283-284
Appendix 3 - Mathematical definitions: Read PDF
pp. 285-286
Appendix 4 - Lyapunov exponents, entropy, and dimension: Read PDF
pp. 287-289
Appendix 5 - Forbidden words in regular languages: Read PDF
pp. 290-292
pp. 293-310
pp. 311-318