Geometric aspects of functional analysis : Israel seminar 2004-2005 ; GAFA 2004-2005 / V.D. Milman, G. Schechtman (eds.).

Contributor(s): Milman, Vitali D, 1939- | Schechtman, Gideon, 1947- | Israel Seminar on Geometrical Aspects of Functional Analysis (2004-2005)
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 1910.Publisher: Berlin ; New York : Springer, ©2007Description: 1 online resource (viii, 328 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540720539; 3540720537; 3540720529; 9783540720522; 9786610853496; 6610853495Subject(s): Functional analysis -- Congresses | Analyse fonctionnelle -- Congrès | Analyse fonctionnelle | Functional analysis | Functional analysis | Análise funcional (congressos) | Espaços de banachGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Geometric aspects of functional analysis.DDC classification: 515.7 LOC classification: QA3 | .L35 v.1910ebOther classification: O177. 2-532 Online resources: Click here to access online
Contents:
Theory of valuations on manifolds, IV. new properties of the multiplicative structure / S. Alesker -- Geometric applications of Chernoff-type estimates / S. Artstein-Avidan, O. Friedland, V. Milman -- A remark on the surface Brunn-Minkowski-type inequality / S.G. Bobkov -- On isoperimetric constants for log-concave probability distributions / S.G. Bobkov -- A remark on quantum ergodicity for CAT MAPS/ J. Bourgain -- Some arithmetical applications of the sum-product theorems in finite fields / J. Bourgain -- On the maximal number of facets of 0/1 polytopes / D. Gatzouras, A. Giannopoulos, N. Markoulakis -- A note on an observation of G. Schechtman / Y. Gordon -- Marginals of geometric inequalities / B. Klartag -- Deviation inequalities on largest Eigenvalues / M. Ledoux -- On the Euclidean metric entropy of convex bodies / A.E. Litvak [and others] -- Some remarks on transportation cost and related inequalities / M. Meckes -- A comment on the low-dimensional Busemann-Petty problem / E. Milman -- Random convex bodies lacking symmetric projections, revisited through decoupling / P. Pivovarov -- The random version of Dvoretzky's theorem in 3/4 [subscript infinity ; superscript n] / G. Schechtman -- Tail-sensitive Gaussian asymptotics for marginals of concentrated measures in high dimension / S. Sodin -- Decoupling weakly dependent events / S.J. Szarek, N. Tomczak-Jaegermann -- The square negative correlation property for generalized Orlicz balls / J.O. Wojtaszczyk.
Action note: digitized 2011 committed to preserveSummary: This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 follows the long tradition of the previous volumes that reflect the general trends of the Theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involving volumes of such bodies or, more generally, log-concave measures, to the study of sections or projections of convex bodies. In many of the.
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International conference proceedings.

Includes bibliographical references.

Theory of valuations on manifolds, IV. new properties of the multiplicative structure / S. Alesker -- Geometric applications of Chernoff-type estimates / S. Artstein-Avidan, O. Friedland, V. Milman -- A remark on the surface Brunn-Minkowski-type inequality / S.G. Bobkov -- On isoperimetric constants for log-concave probability distributions / S.G. Bobkov -- A remark on quantum ergodicity for CAT MAPS/ J. Bourgain -- Some arithmetical applications of the sum-product theorems in finite fields / J. Bourgain -- On the maximal number of facets of 0/1 polytopes / D. Gatzouras, A. Giannopoulos, N. Markoulakis -- A note on an observation of G. Schechtman / Y. Gordon -- Marginals of geometric inequalities / B. Klartag -- Deviation inequalities on largest Eigenvalues / M. Ledoux -- On the Euclidean metric entropy of convex bodies / A.E. Litvak [and others] -- Some remarks on transportation cost and related inequalities / M. Meckes -- A comment on the low-dimensional Busemann-Petty problem / E. Milman -- Random convex bodies lacking symmetric projections, revisited through decoupling / P. Pivovarov -- The random version of Dvoretzky's theorem in 3/4 [subscript infinity ; superscript n] / G. Schechtman -- Tail-sensitive Gaussian asymptotics for marginals of concentrated measures in high dimension / S. Sodin -- Decoupling weakly dependent events / S.J. Szarek, N. Tomczak-Jaegermann -- The square negative correlation property for generalized Orlicz balls / J.O. Wojtaszczyk.

Print version record.

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 follows the long tradition of the previous volumes that reflect the general trends of the Theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involving volumes of such bodies or, more generally, log-concave measures, to the study of sections or projections of convex bodies. In many of the.

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