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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