New weakly periodic Gibbs measures of Ising model on Cayley tree
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 54-63
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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.
@article{IVM_2015_11_a4,
author = {M. M. Rakhmatullaev},
title = {New weakly periodic {Gibbs} measures of {Ising} model on {Cayley} tree},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {54--63},
publisher = {mathdoc},
number = {11},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2015_11_a4/}
}
M. M. Rakhmatullaev. New weakly periodic Gibbs measures of Ising model on Cayley tree. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 54-63. http://geodesic.mathdoc.fr/item/IVM_2015_11_a4/