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New weakly periodic Gibbs measures of Ising model on Cayley tree

M. M. RakhmatullaevMathematical Institute at the National University of Uzbekistan, ul. Dormon Yoli 29, Tashkent, 100125, Republic of Uzbekistan
Russian Mathematicsjournal2015en
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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

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