Asymptotic Geometric Analysis, Part II

AvShiri Artstein-Avidan,Apostolos Giannopoulos

Häftad, Engelska, 2022

Del i serien Mathematical Surveys and Monographs

1 496 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:2022-02-28
Mått:178 x 254 x undefined mm
Vikt:633 g
Format:Häftad
Språk:Engelska
Serie:Mathematical Surveys and Monographs
Antal sidor:686
Förlag:American Mathematical Society
ISBN:9781470463601

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Shiri Artstein-Avidan, Tel Aviv University, Israel.Apostolos Giannopoulos, University of Athens, Greece.Vitali D. Milman, Tel Aviv University, Israel.

Innehållsförteckning

Functional inequalities and concentration of measureIsoperimetric constants of log-concave measures and related problemsInequalities for Guassian measuresVolume inequalitiesLocal theory of finite dimensional normed spaces: Type and cotypeGeometry of the Banach-Mazur compactumAsymptotic convex geometry and classical symmetrizationsRestricted invertibility and the Kadison-Singer problemFunctionalization of geometryBibliographySubject indexAuthor index

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Asymptotic Geometric Analysis, Part II

AvShiri Artstein-Avidan,Apostolos Giannopoulos

Häftad, Engelska, 2022

Del i serien Mathematical Surveys and Monographs

1 496 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2022-02-28
Mått:178 x 254 x undefined mm
Vikt:633 g
Format:Häftad
Språk:Engelska
Serie:Mathematical Surveys and Monographs
Antal sidor:686
Förlag:American Mathematical Society
ISBN:9781470463601

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Shiri Artstein-Avidan, Tel Aviv University, Israel.Apostolos Giannopoulos, University of Athens, Greece.Vitali D. Milman, Tel Aviv University, Israel.

Innehållsförteckning

Functional inequalities and concentration of measureIsoperimetric constants of log-concave measures and related problemsInequalities for Guassian measuresVolume inequalitiesLocal theory of finite dimensional normed spaces: Type and cotypeGeometry of the Banach-Mazur compactumAsymptotic convex geometry and classical symmetrizationsRestricted invertibility and the Kadison-Singer problemFunctionalization of geometryBibliographySubject indexAuthor index