Complex Systems and Binary Networks
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.
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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