Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2005, Volume 5, Number 3, Pages 499–506
DOI: https://doi.org/10.17323/1609-4514-2005-5-3-499-506 (Mi mmj207) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Persistence under weak disorder of AC spectra of quasi-periodic Schrödinger operators on trees graphs.

M. Aizenman, S. Warzel

Princeton University, Department of Mathematics
Full-text PDF Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2005-5-3-499-506
Abstract: We consider radial tree extensions of one-dimensional quasi-periodic Schrödinger operators and establish the stability of their absolutely continuous spectra under weak but extensive perturbations by a random potential. The sufficiency criterion for that is the existence of Bloch–Floquet states for the one dimensional operator corresponding to the radial problem.
Key words and phrases: Random operators, absolutely continuous spectrum, quasi-periodic cocycles, Bloch states.
Received: April 14, 2005; in revised form March 22, 2006
Bibliographic databases:
MSC: 47B80, 37E10
Language: English
Citation: M. Aizenman, S. Warzel, “Persistence under weak disorder of AC spectra of quasi-periodic Schrödinger operators on trees graphs.”, Mosc. Math. J., 5:3 (2005), 499–506
Citation in format AMSBIB
\Bibitem{AizWar05}
\by M.~Aizenman, S.~Warzel
\paper Persistence under weak disorder of AC spectra of quasi-periodic Schr\"odinger operators on trees graphs.
\jour Mosc. Math.~J.
\yr 2005
\vol 5
\issue 3
\pages 499--506
\mathnet{http://mi.mathnet.ru/mmj207}
\crossref{https://doi.org/10.17323/1609-4514-2005-5-3-499-506}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2241809}
\zmath{https://zbmath.org/?q=an:1124.47027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208595500003}
Linking options:
  • https://www.mathnet.ru/eng/mmj207
  • https://www.mathnet.ru/eng/mmj/v5/i3/p499
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024