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.
"synopsis" may belong to another edition of this title.
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.
"About this title" may belong to another edition of this title.
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 theoryThese 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. 408 pp. Englisch. Seller Inventory # 9781461464051
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 theoryThese 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 408 pp. Englisch. Seller Inventory # 9781461464051