Asymptotic Geometric Analysis (Mathematical Surveys and Monographs, 261) - Softcover

Artstein-avidan, Shiri ; Giannopoulos, Apostolos ; Milman, Vitali D.

9781470463601: Asymptotic Geometric Analysis (Mathematical Surveys and Monographs, 261)

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ISBN 10: 1470463601 ISBN 13: 9781470463601

Verlag: American Mathematical Society, 2022

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In the two-volume set, Artstein-Avidan, Giannopoulos, and Milman present a new theory of asymptotic geometric analysis. The first four chapters in this second volume continue and extend Part I (though they may be read independently), and subsequent chapters describe some older part of the theory. The topics include isoperimetric constants of log-concave measures and related problems, inequalities for Gaussian measures, local theory of finite dimensional normed spaces: type and co-type, asymptotic convex geometry and classical symmetrizations, and the functionalization of geometry. Annotation �2022 Ringgold, Inc., Portland, OR (protoview.com)

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

�ber die Autorin bzw. den Autor

Shiri Artstein-Avidan, Tel Aviv University, Israel.

Apostolos Giannopoulos, University of Athens, Greece.

Vitali D. Milman, Tel Aviv University, Israel.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag: American Mathematical Society
Erscheinungsdatum: 2022
Sprache: Englisch
ISBN 10: 1470463601
ISBN 13: 9781470463601
Einband: Taschenbuch
Anzahl der Seiten: 345
Kontakt zum Hersteller: Nicht verf�gbar
Verantwortliche Person: Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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Asymptotic Geometric Analysis, Part II (eng)

Shiri Artstein-Avidan

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Asymptotic Geometric Analysis, Part II (Mathematical Surveys and Monographs)

Artstein-avidan Gia

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Asymptotic Geometric Analysis, Part II

Artstein-avidan, Shiri/ Giannopoulos, Apostolos/ Milman, Vitali D.

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Paperback. Zustand: Brand New. 686 pages. 10.08x7.01x1.50 inches. In Stock. Bestandsnummer des Verk�ufers __1470463601

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Asymptotic Geometric Analysis, Part II

Shiri Artstein-Avidan, Vitali D. Milman, Apostolos Giannopoulos

Verlag: American Mathematical Society, US, 2022

ISBN 10: 1470463601 ISBN 13: 9781470463601

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Paperback. Zustand: New. This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series.Asymptotic geometric analysis studies properties of geometric objects, such as normed spaces, convex bodies, or convex functions, when the dimensions of these objects increase to infinity. The asymptotic approach reveals many very novel phenomena which influence other fields in mathematics, especially where a large data set is of main concern, or a number of parameters which becomes uncontrollably large. One of the important features of this new theory is in developing tools which allow studying high parametric families.Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, the Banach-Mazur compactum, symmetrizations, restricted invertibility, and functional versions of geometric notions and inequalities. Bestandsnummer des Verk�ufers LU-9781470463601

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Asymptotic Geometric Analysis, Part II (Paperback)

Shiri Artstein-Avidan

Verlag: American Mathematical Society, Providence, 2022

ISBN 10: 1470463601 ISBN 13: 9781470463601

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Paperback. Zustand: new. Paperback. This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series.Asymptotic geometric analysis studies properties of geometric objects, such as normed spaces, convex bodies, or convex functions, when the dimensions of these objects increase to infinity. The asymptotic approach reveals many very novel phenomena which influence other fields in mathematics, especially where a large data set is of main concern, or a number of parameters which becomes uncontrollably large. One of the important features of this new theory is in developing tools which allow studying high parametric families.Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, the Banach-Mazur compactum, symmetrizations, restricted invertibility, and functional versions of geometric notions and inequalities. Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, and the Banach-Mazur compactum. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9781470463601

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