Asymptotic Geometric Analysis

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9781470421939: Asymptotic Geometric Analysis
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1.

Shiri Artstein-avidan, Apostolos Giannopoulos, Vitali D. Milman
Edité par American Mathematical Society, United States (2015)
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
Neuf(s) Couverture rigide Quantité : 1
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(London, Royaume-Uni)
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Description du livre American Mathematical Society, United States, 2015. Hardback. État : New. 260 x 182 mm. Language: English . Brand New Book. The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an isomorphic point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a non-trivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the isomorphic isoperimetric inequalities which led to the discovery of the concentration phenomenon , one of the most powerful tools of the theory, responsible for many counterintuitive results. A central theme in this book is the interaction of randomness and pattern. At first glance, life in high dimension seems to mean the existence of multiple possibilities , so one may expect an increase in the diversity and complexity as dimension increases. However, the concentration of measure and effects caused by convexity show that this diversity is compensated and order and patterns are created for arbitrary convex bodies in the mixture caused by high dimensionality. The book is intended for graduate students and researchers who want to learn about this exciting subject. Among the topics covered in the book are convexity, concentration phenomena, covering numbers, Dvoretzky-type theorems, volume distribution in convex bodies, and more. N° de réf. du libraire AAN9781470421939

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2.

Shiri Artstein-avidan, Apostolos Giannopoulos, Vitali D. Milman
Edité par American Mathematical Society, United States (2015)
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
Neuf(s) Couverture rigide Quantité : 1
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The Book Depository US
(London, Royaume-Uni)
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Description du livre American Mathematical Society, United States, 2015. Hardback. État : New. 260 x 182 mm. Language: English . Brand New Book. The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an isomorphic point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a non-trivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the isomorphic isoperimetric inequalities which led to the discovery of the concentration phenomenon , one of the most powerful tools of the theory, responsible for many counterintuitive results. A central theme in this book is the interaction of randomness and pattern. At first glance, life in high dimension seems to mean the existence of multiple possibilities , so one may expect an increase in the diversity and complexity as dimension increases. However, the concentration of measure and effects caused by convexity show that this diversity is compensated and order and patterns are created for arbitrary convex bodies in the mixture caused by high dimensionality. The book is intended for graduate students and researchers who want to learn about this exciting subject. Among the topics covered in the book are convexity, concentration phenomena, covering numbers, Dvoretzky-type theorems, volume distribution in convex bodies, and more. N° de réf. du libraire AAN9781470421939

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3.

Apostolos Giannopoulos; Shiri Artstein-Avidan; Vitali D. Milman
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
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Description du livre État : New. Depending on your location, this item may ship from the US or UK. N° de réf. du libraire 97814704219390000000

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4.

Shiri Artstein-Avidan
Edité par American Mathematical Society (2015)
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
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Description du livre American Mathematical Society, 2015. HRD. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CE-9781470421939

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5.

Shiri Artstein-Avidan, Apostolos Giannopoulos, Vitali D. Milman
Edité par American Mathematical Society
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
Neuf(s) Couverture rigide Quantité : 2
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Description du livre American Mathematical Society. Hardback. État : new. BRAND NEW, Asymptotic Geometric Analysis: Part I, Shiri Artstein-Avidan, Apostolos Giannopoulos, Vitali D. Milman, The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an "isomorphic" point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a non-trivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the "isomorphic isoperimetric inequalities" which led to the discovery of the "concentration phenomenon", one of the most powerful tools of the theory, responsible for many counterintuitive results. A central theme in this book is the interaction of randomness and pattern. At first glance, life in high dimension seems to mean the existence of multiple "possibilities", so one may expect an increase in the diversity and complexity as dimension increases. However, the concentration of measure and effects caused by convexity show that this diversity is compensated and order and patterns are created for arbitrary convex bodies in the mixture caused by high dimensionality. The book is intended for graduate students and researchers who want to learn about this exciting subject. Among the topics covered in the book are convexity, concentration phenomena, covering numbers, Dvoretzky-type theorems, volume distribution in convex bodies, and more. N° de réf. du libraire B9781470421939

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6.

Artstein-avidan, Shiri; Giannopoulos, Apostolos; Milman, Vitali D.
Edité par Amer Mathematical Society (2015)
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
Neuf(s) Couverture rigide Quantité : 1
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Description du livre Amer Mathematical Society, 2015. Hardcover. État : New. book. N° de réf. du libraire 1470421933

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Artstein-avidan, Shiri/ Giannopoulos, Apostolos/ Milman, Vitali D.
Edité par Amer Mathematical Society (2015)
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
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Description du livre Amer Mathematical Society, 2015. Hardcover. État : Brand New. 451 pages. 10.25x7.50x1.25 inches. In Stock. N° de réf. du libraire __1470421933

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8.

Shiri Artstein-avidan
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
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Description du livre 2015. Hardcover. État : New. 254mm x 178mm x. Hardcover. The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typic.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 451 pages. 0.825. N° de réf. du libraire 9781470421939

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9.

Shiri Artstein-avidan
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
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Description du livre 2015. Hardcover. État : New. 254mm x 178mm x. Hardcover. The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems t.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 451 pages. 0.825. N° de réf. du libraire 9781470421939

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10.

Shiri Artstein-Avidan
Edité par American Mathematical Society (2015)
ISBN 10 : 1470421933 ISBN 13 : 9781470421939
Neuf(s) Couverture rigide Quantité : 1
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Description du livre American Mathematical Society, 2015. Hardcover. État : New. 0 x 0 cm. Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time. Book. N° de réf. du libraire MM-60746649

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