Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 4, Pages 23–37
DOI: https://doi.org/10.4213/faa3615 (Mi faa3615) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph

A. M. Vershikabc, P. B. Zatitskiida

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b St. Petersburg State University, Mathematics and Mechanics Faculty
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
d Saint Petersburg State University
Full-text PDF (236 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3615
Abstract: We suggest a combinatorial classification of metric filtrations of measure spaces; a complete invariant of such a filtration is its combinatorial scheme, a measure on the space of hierarchies of the group $\mathbb Z$. In turn, the notion of a combinatorial scheme is a source of new metric invariants of automorphisms approximated by means of basic filtrations. We construct a universal graph with an adic structure such that every automorphism can be realized on its path space.
Keywords: uniform approximation, filtrations, combinatorial definiteness, universal adic graph.
Funding agency Grant number
Russian Science Foundation 17-71-20153
Received: 18.09.2018
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 4, Pages 258–269
DOI: https://doi.org/10.1007/s10688-018-0236-1
Bibliographic databases:
Document Type: Article
UDC: 519.1+519.2
Language: Russian
Citation: A. M. Vershik, P. B. Zatitskii, “Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph”, Funktsional. Anal. i Prilozhen., 52:4 (2018), 23–37; Funct. Anal. Appl., 52:4 (2018), 258–269
Citation in format AMSBIB
\Bibitem{VerZat18}
\by A.~M.~Vershik, P.~B.~Zatitskii
\paper Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph
\jour Funktsional. Anal. i Prilozhen.
\yr 2018
\vol 52
\issue 4
\pages 23--37
\mathnet{http://mi.mathnet.ru/faa3615}
\crossref{https://doi.org/10.4213/faa3615}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3875353}
\elib{https://elibrary.ru/item.asp?id=36361288}
\transl
\jour Funct. Anal. Appl.
\yr 2018
\vol 52
\issue 4
\pages 258--269
\crossref{https://doi.org/10.1007/s10688-018-0236-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000457526600002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85060909711}
Linking options:
  • https://www.mathnet.ru/eng/faa3615
  • https://doi.org/10.4213/faa3615
  • https://www.mathnet.ru/eng/faa/v52/i4/p23
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024