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Dynamical evolution over long time scales is a prominent feature of
all the systems we intuitively think of as complex - for example,
ecosystems, the brain or the economy. In physics, the term ageing
is used for this type of slow change, occurring over time scales
much longer than the patience, or indeed the lifetime, of the
observer. The main focus of this book is on the stochastic
processes which cause ageing, and the surprising fact that the
ageing dynamics of systems which are very different at the
microscopic level can be treated in similar ways.The first part of
this book provides the necessary mathematical and computational
tools and the second part describes the intuition needed to deal
with these systems. Some of the first few chapters have been
covered in several other books, but the emphasis and selection of
the topics reflect both the authors' interests and the overall
theme of the book. The second part contains an introduction to the
scientific literature and deals in some detail with the description
of complex phenomena of a physical and biological nature, for
example, disordered magnetic materials, superconductors and
glasses, models of co-evolution in ecosystems and even of ant
behaviour. These heterogeneous topics are all dealt with in detail
using similar analytical techniques.This book emphasizes the unity
of complex dynamics and provides the tools needed to treat a large
number of complex systems of current interest. The ideas and the
approach to complex dynamics it presents have not appeared in book
form until now.
Over the last few decades inversion concepts have become an
integral part of experimental data interpretation in several
branches of science. In numerous cases similar inversion-like
techniques were developed independently in separate disciplines,
sometimes based on different lines of reasoning, but not always to
the same level of sophistication.
This book is based on the Interdisciplinary Inversion Conference
held at the University of Aarhus, Denmark. For scientists and
graduate students in geophysics, astronomy, oceanography, petroleum
geology, and geodesy, the book offers a wide variety of examples
and theoretical background in the field of inversion techniques.
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