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About sixty years ago, the anomalous magnetic response of certain
magnetic alloys drew the attention of theoretical physicists. It
soon became clear that understanding these systems, now called spin
glasses, would give rise to a new branch of statistical physics. As
physical materials, spin glasses were found to be as useless as
they were exotic. They have nevertheless been recognized as
paradigmatic examples of complex systems with applications to
problems as diverse as neural networks, amorphous solids,
biological molecules, social and economic interactions, information
theory and constraint satisfaction problems.This book presents an
encyclopaedic overview of the broad range of these applications.
More than 30 contributions are compiled, written by many of the
leading researchers who have contributed to these developments over
the last few decades. Some timely and cutting-edge applications are
also discussed. This collection serves well as an introduction and
summary of disordered and glassy systems for advanced
undergraduates, graduate students and practitioners interested in
the topic.
The book teaches a student to model a scientific problem and write
a computer program in C language to solve that problem. To do that,
the book first introduces the student to the basics of C language,
dealing with all syntactical aspects, but without the pedantic
content of a typical programming language manual. Then the book
describes and discusses many algorithms commonly used in scientific
applications (e.g. searching, graphs, statistics, equation solving,
Monte Carlo methods etc.).This important book fills a gap in
current available bibliography. There are many manuals for
programming in C, but they never explain programming technicalities
to solve a given problem. This book illustrates many relevant
algorithms and shows how to translate them in a working computer
program.
The Cargese Workshop Random Surfaces and Quantum Gravity was held
from May 27 to June 2, 1990. Little was known about string theory
in the non-perturbative regime before Oetober 1989 when
non-perturbative equations for the string partition functions were
found by using methods based on the random triangulations of
surfaees. This set of methods pro vides a deseription of
non-eritical string theory or equivalently of the coupling of
matter fields to quantum gravity in two dimensions. The Cargese
meeting was very successful in that it provided the first
opportunity to gather most of the active workers in the field for a
fuH week of lectures and extensive informal discussions about these
exeiting new developments. The main results were reviewed, recent
advances were explained, new results and conjectures (which appear
for the first time in these proceedings) were presented and
discussed. Among the most important topics discussed at the
workshop were: The relation of KdV theory to loop equations and the
Virasoro algebra, new results in Liouville field theory, effective
(1 + 1) dimensional theory for 2 - D quantum gravity coupled to c =
1 matter and its fermionization, proposal for a new geometrical
interpretation of the string equation and possible definition of
quantum Riemann surfaces, discussion of the string equation for the
multi-matrix models, links with topological field theories of
gravity, issues in using target space supersymmetry to define good
theories, definition of the partition function via analytic
continuation, new models of random surfaces
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