Giannopoulos apostolos (42 resultados)

Paperback. Condición: Brand New. 686 pages. 10.08x7.01x1.50 inches. In Stock.

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Paperback. Condición: 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.…

Hardcover. Condición: Brand New. 603 pages. 10.50x7.75x1.50 inches. In Stock.

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Hardcover. Condición: Brand New. 212 pages. 10.50x7.50x0.50 inches. In Stock.

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Hardback. Condición: New. The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach spaces. It is also closely linked to many other fields, such as probability theory, partial differential equations, Riemannian geometry, harmonic analysis and combinatorics. It is now understood that the convexity assumption forces most of the volume of a high-dimensional convex body to be concentrated in some canonical way and the main question is whether, under some natural normalisation, the answer to many fundamental questions should be independent of the dimension.The aim of this book is to introduce a number of well-known questions regarding the distribution of volume in high-dimensional convex bodies, which are exactly of this nature: among them are the slicing problem, the thin-shell conjecture and the Kannan-Lovasz-Simonovits conjecture. This book provides a self-contained and up to date account of the progress that has been made in the last fifteen years.…

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Condición: As New. Unread book in perfect condition.

HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.

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Condición: As New. Unread book in perfect condition.

HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.

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Condición: New. In English.

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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This interesting collection of up-to-date survey articles on various topics of current mathematical research presents extended versions of the plenary talks given by important Greek mathematicians at the congress held in Athens, Greece, on occasion of the celebration for the 100 years of the Hellenic Mathematical Society.…

Condición: New. In English.

Condición: New. Apostolos Giannopoulos, National Technical University of Athens, GR, Alexander Koldobsky,University of Missouri-Columbia, U.S.A. In this book, we present a collection of results situated at the confluence of two vibrant and rapidly developing .

Hardback. Condición: New. This interesting collection of up-to-date survey articles on various topics of current mathematical research presents extended versions of the plenary talks given by important Greek mathematicians at the congress held in Athens, Greece, on occasion of the celebration for the 100 years of the Hellenic Mathematical Society.…

Condición: New. In English.

Buch. Condición: Neu. Neuware - In this book, we present a collection of results situated at the confluence of two vibrant and rapidly developing areas within convex geometry: the functional approach, which seeks to reinterpret and extend classical theorems of convex geometry by replacing volume with more general measures, and geometric tomography, a field concerned with recovering and analyzing geometric properties of convex bodies through partial data, such as the measures of their sections or projections. We refer to the synthesis of these two perspectives as the tomography of measures.Among the central problems discussed in the book are the functional analogue of the classical Busemann Petty problem and the slicing inequality for measures. These problems lie at the heart of asymptotic geometric analysis and reflect ongoing efforts to understand dimension-dependent phenomena in high-dimensional spaces.The book is intended for mathematicians with an interest in geometry, harmonic analysis, functional analysis, and probability theory.…

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