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Problemy Peredachi Informatsii, 2014, Volume 50, Issue 4, Pages 55–70
(Mi ppi2153)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ppi2153 https://www.mathnet.ru/eng/ppi/v50/i4/p55
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