Weakly Periodic Gibbs Measures of the Ising Model on the Cayley Tree of Order Five and Six
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For Ising model on the Cayley tree of order five and six we present new weakly periodic (non-periodic) Gibbs measures corresponding to normal subgroups of indices two in the group representation of the Cayley tree.
KeywordsCayley tree Gibbs measure Ising model Weakly periodic measure
Mathematics Subject Classification (2010)82B20
This research was supported by Ministry of Higher Education Malaysia (MOHE) under grant FRGS 14-116-0357. Second author Rahmatullaev Muzaffar thanks IIUM for providing financial support (grant FRGS 14-116-0357) and all facilities.
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