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Asymptotic Geometric Analysis - Proceedings of the Fall 2010 Fields Institute Thematic Program (Paperback, 2013 ed.)
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Asymptotic Geometric Analysis - Proceedings of the Fall 2010 Fields Institute Thematic Program (Paperback, 2013 ed.)
Series: Fields Institute Communications, 68
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Asymptotic Geometric Analysis is concerned with the geometric and
linear properties of finite dimensional objects, normed spaces, and
convex bodies, especially with the asymptotics of their various
quantitative parameters as the dimension tends to infinity. The
deep geometric, probabilistic, and combinatorial methods developed
here are used outside the field in many areas of mathematics and
mathematical sciences. The Fields Institute Thematic Program in the
Fall of 2010 continued an established tradition of previous
large-scale programs devoted to the same general research
direction. The main directions of the program included: *
Asymptotic theory of convexity and normed spaces * Concentration of
measure and isoperimetric inequalities, optimal transportation
approach * Applications of the concept of concentration *
Connections with transformation groups and Ramsey theory *
Geometrization of probability * Random matrices * Connection with
asymptotic combinatorics and complexity theory These directions are
represented in this volume and reflect the present state of this
important area of research. It will be of benefit to researchers
working in a wide range of mathematical sciences-in particular
functional analysis, combinatorics, convex geometry, dynamical
systems, operator algebras, and computer science.
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