Geodesic
Periodic Ground States of a Hamiltonian on a Cayley Tree
Matematičeskie zametki, Tome 87 (2010) no. 4, pp. 624-627
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Keywords: Cayley tree, Rozikov model, Hamiltonian, ground state, generalized Kronecker delta, Gibbs measure, free product of cyclic groups. 
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G. I. Botirov. Periodic Ground States of a Hamiltonian on a Cayley Tree. Matematičeskie zametki, Tome 87 (2010) no. 4, pp. 624-627. http://geodesic.mathdoc.fr/item/MZM_2010_87_4_a13/

[1] N. N. Ganikhodzhaev, S. R. Azizova, Dokl. AN UzSSR, 1990, no. 4, 3–5 | MR | Zbl

[2] U. A. Rozikov, J. Stat. Phys., 130:4 (2008), 801–813 | DOI | MR | Zbl

[3] R. A. Minlos, Introduction to Mathematical Statistical Physics, Univ. Lecture Ser., 19, Amer. Math. Soc., Providece, RI, 2000 | MR | Zbl

[4] Ya. G. Sinai, Teoriya fazovykh perekhodov. Strogie rezultaty, Nauka, M., 1980 | MR | Zbl

[5] G. I. Botirov, U. A. Rozikov, TMF, 153:1 (2007), 86–97 | MR | Zbl

[6] U. A. Rozikov, J. Stat. Phys., 122:2 (2006), 217–235 | DOI | MR | Zbl

[7] U. A. Rozikov, TMF, 112:1 (1997), 170–175 | MR | Zbl

[8] U. A. Rozikov, Ground Subgroups, arXiv: math.GR/0904.1850