This article is cited in 8 papers

New weakly periodic Gibbs measures of Ising model on Cayley tree

M. M. Rakhmatullaev

Mathematical Institute at the National University of Uzbekistan, 29 Do'rmon Yo'li str., Tashkent, 100125 Republic of Uzbekistan

Abstract: We consider the Ising model on the Cayley tree. For the Ising model, we find a new weakly periodic Gibbs measures corresponding to normal subgroups of index two in the group representation of a Cayley tree.

Keywords: Cayley tree, Gibbs measure, Ising model, weakly periodic measure.

UDC: 517.98+530.1

Received: 02.04.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:11, 45–53

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