Problemy Peredachi Informatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Bla14}
\by M.~L.~Blank
\paper Interlacing and smoothing: combinatorial aspects
\jour Probl. Peredachi Inf.
\yr 2014
\vol 50
\issue 4
\pages 55--70
\mathnet{http://mi.mathnet.ru/ppi2153}
\transl
\jour Problems Inform. Transmission
\yr 2014
\vol 50
\issue 4
\pages 350--363
\crossref{https://doi.org/10.1134/S003294601404005X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000347532800005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920595497}
Linking options:
  • https://www.mathnet.ru/eng/ppi2153
  • https://www.mathnet.ru/eng/ppi/v50/i4/p55
    • This publication is cited in the following 1 articles:
    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
    Statistics & downloads:
    Abstract page:259
    Full-text PDF :70
    References:42
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024