The five contributions describe some key mathematical concepts involved in the study of complex systems and non-perturbative problems. The selection of topics is intended to cross-fertilize the various fields where complex systems theory has made an impact. The book presents specific and detailed results meant for a wide audience of researchers and students. It begins with those contributions which help to set up a general theoretical framework and ends with selected applications to the particular areas of biophysics, statistical physics, astrophysics and cosmology. It also includes an extensive bibliography. This pedagogically written text can be used as an introduction to the fundamental ideas behind complex systems theory.

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Bibliographic Information

Book Title: Complex Systems and Binary Networks
Book Subtitle: Guanajuato Lectures, Held at Guanajuato, México, 16 – 22 January 1995
Editors: Ramón López-Peña, Henri Waelbroeck, Riccardo Capovilla, Ricardo García-Pelayo, Federico Zertuche
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/BFb0103567
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1995
Softcover ISBN: 978-3-662-14057-4Published: 03 October 2013
eBook ISBN: 978-3-540-44937-9Published: 06 May 2007
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: IX, 228
Number of Illustrations: 6 b/w illustrations
Topics: Thermodynamics, Complex Systems, Biological and Medical Physics, Biophysics, Astronomy, Observations and Techniques, Astrophysics and Astroparticles, Geophysics/Geodesy

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Table of contents (6 papers)

Front Matter

Randomness & complexity in pure mathematics

The berry paradox

Knots and complex systems

Towards a theory of landscapes

Coarsening phenomena in one dimension

Cosmology as a problem in critical phenomena

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