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Problemy Peredachi Informatsii, 2014, Volume 50, Issue 4, Pages 55–70 (Mi ppi2153)  
This article is cited in 1 scientific paper (total in 1 paper)

Large Systems

Interlacing and smoothing: combinatorial aspects

M. L. Blankab

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b National Research University — Higher School of Economics, Moscow, Russia
Full-text PDF (228 kB) Citations (1)
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Abstract: We study functional consequences of the interlacing property consisting in that a new configuration of “particles” occurs in gaps between elements of a previous configuration. This property was introduced by I. M. Gelfand in terms of spectra of sequences of matrices of increasing dimensions and turned out to be highly needed in many areas of modern mathematics. We examine conditions under which the next generation is “on average smoother” than the previous one and discuss issues related to “complexity” of the set of pairs of interlacing functions.
Received: 22.04.2013
Revised: 23.09.2014
English version:
Problems of Information Transmission, 2014, Volume 50, Issue 4, Pages 350–363
DOI: https://doi.org/10.1134/S003294601404005X
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.1
Language: Russian
Citation: M. L. Blank, “Interlacing and smoothing: combinatorial aspects”, Probl. Peredachi Inf., 50:4 (2014), 55–70; Problems Inform. Transmission, 50:4 (2014), 350–363
Citation in format AMSBIB
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\vol 50
\issue 4
\pages 350--363
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  • https://www.mathnet.ru/eng/ppi2153
  • https://www.mathnet.ru/eng/ppi/v50/i4/p55
    • This publication is cited in the following 1 articles:
    1. Blank M.L., “Dynamics of Alternating Functions”, Dokl. Math., 91:2 (2015), 150–153  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    Abstract page:288
    Full-text PDF :86
    References:54
    First page:12
     
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