Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l'auteur
Shiri Artstein-Avidan, Tel Aviv University, Israel.
Apostolos Giannopoulos, University of Athens, Greece.
Vitali D. Milman, Tel Aviv University, Israel.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Asymptotic Geometric Analysis, Part II
Edité par
Amer Mathematical Society, 2022
ISBN 10 : 1470463601
ISBN 13 : 9781470463601
Neuf
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Asymptotic Geometric Analysis, Part II (Paperback)
Edité par
American Mathematical Society, Providence, 2022
ISBN 10 : 1470463601
ISBN 13 : 9781470463601
Neuf
Paperback
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Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : 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. N° de réf. du vendeur 9781470463601
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Asymptotic Geometric Analysis, Part II (Paperback)
Edité par
American Mathematical Society, Providence, 2022
ISBN 10 : 1470463601
ISBN 13 : 9781470463601
Neuf
Paperback
Vendeur : AussieBookSeller, Truganina, VIC, Australie
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : 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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9781470463601
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