Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 104, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.104 (Mi sigma1786) 		 
Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters

Masoumeh Koohestania, Nobuaki Obatab, Hajime Tanakab

a Department of Mathematics, K.N. Toosi University of Technology, Tehran 16765-3381, Iran
b Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan
Full-text PDF (565 kB)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2021.104
Abstract: We determine the possible scaling limits in the quantum central limit theorem with respect to the Gibbs state, for a growing distance-regular graph that has so-called classical parameters with base unequal to one. We also describe explicitly the corresponding weak limits of the normalized spectral distribution of the adjacency matrix. We demonstrate our results with the known infinite families of distance-regular graphs having classical parameters and with unbounded diameter.
Keywords: quantum probability, quantum central limit theorem, distance-regular graph, Gibbs state, classical parameters.
Funding agency Grant number
Japan Society for the Promotion of Science JP19H01789
JP17K05156
JP20K03551
Part of this work was done while MK was visiting Tohoku University from February to July 2020, supported by K.N. Toosi University of Technology, Office of Vice-Chancellor for Global Strategies and International Affairs. NO and HT were supported by JSPS KAKENHI Grant Number JP19H01789. HT was also supported by JSPS KAKENHI Grant Numbers JP17K05156 and JP20K03551. This work was also partially supported by the Research Institute for Mathematical Sciences at Kyoto University.
Received: July 19, 2021; in final form November 22, 2021; Published online November 26, 2021
Bibliographic databases:
Document Type: Article
MSC: 46L53, 60F05, 05E30
Language: English
Citation: Masoumeh Koohestani, Nobuaki Obata, Hajime Tanaka, “Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters”, SIGMA, 17 (2021), 104, 22 pp.
Citation in format AMSBIB
\Bibitem{KooObaTan21}
\by Masoumeh~Koohestani, Nobuaki~Obata, Hajime~Tanaka
\paper Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters
\jour SIGMA
\yr 2021
\vol 17
\papernumber 104
\totalpages 22
\mathnet{http://mi.mathnet.ru/sigma1786}
\crossref{https://doi.org/10.3842/SIGMA.2021.104}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000723605900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85122282195}
Linking options:
  • https://www.mathnet.ru/eng/sigma1786
  • https://www.mathnet.ru/eng/sigma/v17/p104
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:63
    Full-text PDF :16
    References:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024