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Asymptotic Geometric Analysis, Part II (Paperback)
Loot Price: R3,336
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Asymptotic Geometric Analysis, Part II (Paperback)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 19 working days
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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.
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