Geodesic
Phenomena arising from high dimensionality
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 1, pp. 159-169 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some general properties are discussed for normed spaces (or, equivalently, convex bodies) that are finite-dimensional of very high dimension. It turns out that these objects show much less diversity than one could expect a priori. Next, some asymptotic phenomena that govern (in the author's opinion) the asymptotic behaviour of systems of large dimension are analyzed. 
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V. D. Milman. Phenomena arising from high dimensionality. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 1, pp. 159-169. http://geodesic.mathdoc.fr/item/RM_2004_59_1_a10/

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