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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 1, Pages 123–127
DOI: https://doi.org/10.17516/1997-1397-2016-9-1-123-127 (Mi jsfu467) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$

Zohid T. Tugyonov

Institute of Mathematics, Durmon Yuli, 29, Tashkent, 100125, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2016-9-1-123-127
Abstract: In this paper, we show non uniqueness of $p$-adic Gibbs distribution for the Ising model on the $Z^d$. Moreover, we prove that a $p$-adic Gibbs distribution is bounded if and only if $p\neq2$.
Keywords: Gibbs distribution, Ising model, lattice.
Received: 05.08.2015
Received in revised form: 24.09.2015
Accepted: 28.12.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Zohid T. Tugyonov, “Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$”, J. Sib. Fed. Univ. Math. Phys., 9:1 (2016), 123–127
Citation in format AMSBIB
\Bibitem{Tug16}
\by Zohid~T.~Tugyonov
\paper Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 1
\pages 123--127
\mathnet{http://mi.mathnet.ru/jsfu467}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-1-123-127}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412005500014}
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    • This publication is cited in the following 1 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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