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001			978-1-4614-6406-8
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020			_a9781461464068 _9978-1-4614-6406-8
024	7		_a10.1007/978-1-4614-6406-8 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aLudwig, Monika. _eeditor.
245	1	0	_aAsymptotic Geometric Analysis _h[electronic resource] : _bProceedings of the Fall 2010 Fields Institute Thematic Program / _cedited by Monika Ludwig, Vitali D. Milman, Vladimir Pestov, Nicole Tomczak-Jaegermann.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aX, 395 p. 14 illus., 8 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aFields Institute Communications, _x1069-5265 ; _v68
505	0		_aPreface -- The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero) -- More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova) -- On the Lyapounov Exponents of Schrodinger Operators Associated with the Standard Map (J. Bourgain) -- Overgroups of the Automorphism Group of the Rado Graph (P. Cameron, C. Laflamme, M. Pouzet, S. Tarzi, R. Woodrow) -- On a Stability Property of the Generalized Spherical Radon Transform (D. Faifman) -- Banach Representations and Affine Compactification of Dynamical Systems (E. Glasner, M. Megrelishvili) -- Flag Measures for Convex Bodies (D. Hug, I. Turk, W. Weil) -- Operator Functional Equations in Analysis (H. Konig, V. Milmann) -- A Remark on the External Non-Central Sections of the Unit Cube (J. Moody, C. Stone, D. Zach, A. Zvavitch) -- Universal Flows of Closed Subgroups of S∞ and Relative Extreme Amenability (L. Nguyen Van The) -- Oscillation of Urysohn Type Spaces (N.W. Sauer) -- Euclidean Sections of Convex Bodies (G. Schechtman) -- Duality on Convex Sets in Generalized Regions (A. Segal, B.A. Slomka) -- On Polygons and Injective Mappings of the Plane (B.A. Slomka) -- Abstract Approach to Ramsey Theory and Ramsey Theorems for Finite Trees (S. Solecki) -- Some Affine Invariants Revisited (A. Stancu) -- On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant (P. Stavrakakis, P. Valettas) -- f-Divergence for Convex Bodies (E.M. Werner).
520			_aAsymptotic 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.
650		0	_aMathematics.
650		0	_aTopological Groups.
650		0	_aFunctional analysis.
650		0	_aOperator theory.
650		0	_aDiscrete groups.
650		0	_aDistribution (Probability theory).
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aProbability Theory and Stochastic Processes.
650	2	4	_aReal Functions.
650	2	4	_aOperator Theory.
650	2	4	_aConvex and Discrete Geometry.
650	2	4	_aTopological Groups, Lie Groups.
700	1		_aMilman, Vitali D. _eeditor.
700	1		_aPestov, Vladimir. _eeditor.
700	1		_aTomczak-Jaegermann, Nicole. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461464051
830		0	_aFields Institute Communications, _x1069-5265 ; _v68
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-6406-8
912			_aZDB-2-SMA
999			_c95667 _d95667