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This article is cited in 9 scientific papers (total in 9 papers)
Phenomena arising from high dimensionality
V. D. Milman Tel Aviv University, School of Mathematical Sciences
Abstract:
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.
Received: 27.10.2003
Citation:
V. D. Milman, “Phenomena arising from high dimensionality”, Russian Math. Surveys, 59:1 (2004), 159–169
Linking options:
https://www.mathnet.ru/eng/rm706https://doi.org/10.1070/RM2004v059n01ABEH000706 https://www.mathnet.ru/eng/rm/v59/i1/p157
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