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Russian Mathematical Surveys, 2004, Volume 59, Issue 1, Pages 159–169
DOI: https://doi.org/10.1070/RM2004v059n01ABEH000706 (Mi rm706) 		 
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
English version PDF (188 kB) Citations (9)
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DOI: https://doi.org/10.1070/RM2004v059n01ABEH000706
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 1(355), Pages 157–168
DOI: https://doi.org/10.4213/rm706
Bibliographic databases:
Document Type: Article
UDC: 517.98+514
MSC: Primary 52A20, 46B20, 52A21; Secondary 46B09, 46B07
Language: English
Original paper language: Russian
Citation: V. D. Milman, “Phenomena arising from high dimensionality”, Uspekhi Mat. Nauk, 59:1(355) (2004), 157–168; Russian Math. Surveys, 59:1 (2004), 159–169
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    Russian version PDF:462
    English version PDF:24
    References:80
    First page:1
     
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