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Titlebook: Asymptotic Geometric Analysis; Proceedings of the F Monika Ludwig,Vitali D. Milman,Nicole Tomczak-Jaeg Conference proceedings 2013 Springer

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期刊全稱Asymptotic Geometric Analysis
期刊簡稱Proceedings of the F
影響因子2023Monika Ludwig,Vitali D. Milman,Nicole Tomczak-Jaeg
視頻videohttp://file.papertrans.cn/164/163803/163803.mp4
發(fā)行地址Contains contributions by some of the top experts in their relative fields.Presents a collection of papers reflecting a wide spectrum of state-of-the-art investigations in the area.Presents recent dev
學科分類Fields Institute Communications
圖書封面Titlebook: Asymptotic Geometric Analysis; Proceedings of the F Monika Ludwig,Vitali D. Milman,Nicole Tomczak-Jaeg Conference proceedings 2013 Springer
影響因子.Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of 2010 continued an established tradition of previous large-scale programs devoted to the same general research direction. The main directions of the program included:.* Asymptotic theory of convexity and normed spaces.* Concentration of measure and isoperimetric inequalities, optimal transportation approach.* Applications of the concept of concentration.* Connections with transformation groups and Ramsey theory.* Geometrization of probability.* Random matrices.* Connection with asymptotic combinatorics and complexity theory.These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working in a wide range of mathematical sciences—
Pindex Conference proceedings 2013
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https://doi.org/10.1007/978-1-4612-0125-0c space . is . if it isometrically embeds every finite metric space . with .. (. being the set of distances between points of ..) A metric space . is . if for every . and every uniformly continuous and bounded function . there exists an isometric copy . of . in . for which: .....
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Limits, Continuity, and Differentiability,olygon with . sides onto a polygon with . sides. We also state and prove more general results in this spirit. For example, we show that an injective mapping taking each convex .-gon onto a non-degenerate .-gon (not necessarily convex or even simple) must be affine.
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Diethard Pallaschke,Stefan Rolewiczaluations and we establish an affine isoperimetric inequality for these quantities. We show that generalized affine surface area and in particular the .. affine surface area from the .. Brunn Minkowski theory are special cases of .-divergences.
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Flag Measures for Convex Bodies,atic account of flag measures for convex bodies, we collect various properties of flag measures and we prove some new results. In particular, we discuss mixed flag measures for several bodies and we present formulas for (mixed) flag measures of generalized zonoids.
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