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Algebra i Analiz, 2007, Volume 19, Issue 1, Pages 23–45 (Mi aa101)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Using rademacher permutations to reduce randomness

S. Artstein-Avidan, V. D. Milman

School of Mathematical Science, Tel Aviv University, Tel Aviv, Israel
Full-text PDF (235 kB) Citations (2)
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Abstract: It is shown how a special family of unitary operators, called the Rademacher permutations and related to the Clifford algebra, can be used to reduce the level of randomness in several results in asymptotic geometric analysis.
Keywords: Asymptotic geometric analysis, Dvoretzky theorem, concentration, convex body, zigzag body.
Received: 01.08.2006
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 1, Pages 15–31
DOI: https://doi.org/10.1090/S1061-0022-07-00983-1
Bibliographic databases:
Document Type: Article
MSC: 52A21
Language: English
Citation: S. Artstein-Avidan, V. D. Milman, “Using rademacher permutations to reduce randomness”, Algebra i Analiz, 19:1 (2007), 23–45; St. Petersburg Math. J., 19:1 (2008), 15–31
Citation in format AMSBIB
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\by S.~Artstein-Avidan, V.~D.~Milman
\paper Using rademacher permutations to reduce randomness
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 1
\pages 23--45
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2319508}
\zmath{https://zbmath.org/?q=an:1131.60004}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 1
\pages 15--31
\crossref{https://doi.org/10.1090/S1061-0022-07-00983-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267653000002}
Linking options:
  • https://www.mathnet.ru/eng/aa101
  • https://www.mathnet.ru/eng/aa/v19/i1/p23
    • This publication is cited in the following 2 articles:
    1. Fresen D.J., “Explicit Euclidean Embeddings in Permutation Invariant Normed Spaces”, Adv. Math., 266 (2014), 1–16  crossref  mathscinet  zmath  isi  elib
    2. Lovett S., Sodin S., “Almost Euclidean sections of the N-dimensional cross-polytope using O(N) random bits”, Commun. Contemp. Math., 10:4 (2008), 477–489  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:460
    Full-text PDF :155
    References:67
    First page:8
     
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