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Volumn 45, Issue 9, 2004, Pages 3645-3658

An Ising model with three competing interactions on a Cayley tree

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Indexed keywords


EID: 5644287585     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1781747     Document Type: Article
Times cited : (16)

References (16)
  • 3
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    • Group representations and automorphisms of the Cayley tree
    • in Russian
    • Ganikhodjaev, N. N., "Group representations and automorphisms of the Cayley tree" Dokl. Akad. Nauk Resp. Uzb. (1992-2001) 4, 3-5 (1994) (in Russian).
    • (1994) Dokl. Akad. Nauk Resp. Uzb. (1992-2001) , vol.4 , pp. 3-5
    • Ganikhodjaev, N.N.1
  • 4
    • 0041110828 scopus 로고    scopus 로고
    • A description of periodic extremal Gibbs measures on some lattice models on the Cayley tree
    • Ganikhodjaev, N. N. (Ganikhodzhaev), and Rozikov. U. A., "A description of periodic extremal Gibbs measures on some lattice models on the Cayley tree," Theor. Math. Phys. 111, 480-486 (1997).
    • (1997) Theor. Math. Phys. , vol.111 , pp. 480-486
    • Ganikhodjaev, N.N.1    Rozikov, U.A.2
  • 5
    • 0036253199 scopus 로고    scopus 로고
    • Exact solution of an Ising model on the Cayley tree with competing ternary and binary interactions
    • Ganikhodjaev, N. N., "Exact solution of an Ising model on the Cayley tree with competing ternary and binary interactions," Theor. Math. Phys. 130, 419-424 (2002).
    • (2002) Theor. Math. Phys. , vol.130 , pp. 419-424
    • Ganikhodjaev, N.N.1
  • 6
    • 0242298261 scopus 로고    scopus 로고
    • Exact solution of an Ising model with competing interactions on a Cayley tree
    • Ganikhodjaev, N. N., Pah, C. H., and Wahiddin, M. R. B., "Exact solution of an Ising model with competing interactions on a Cayley tree," J. Phys. A 36 4283-4289 (2003).
    • (2003) J. Phys. A , vol.36 , pp. 4283-4289
    • Ganikhodjaev, N.N.1    Pah, C.H.2    Wahiddin, M.R.B.3
  • 7
    • 0001992952 scopus 로고
    • Bethe lattice and the Bethe approximation
    • Katsura, S., and Takizawa, M., "Bethe lattice and the Bethe approximation," Prog. Theor. Phys. 51, 82-98 (1974).
    • (1974) Prog. Theor. Phys. , vol.51 , pp. 82-98
    • Katsura, S.1    Takizawa, M.2
  • 8
    • 0003970661 scopus 로고
    • American Mathematical Society, Series: Contemporary Mathematics (AMS, Providence, RI)
    • Kindermann, R., and Snell, J. L., Markov Random Fields and their Applications, American Mathematical Society, Series: Contemporary Mathematics (AMS, Providence, RI, 1980), Vol 1.
    • (1980) Markov Random Fields and Their Applications , vol.1
    • Kindermann, R.1    Snell, J.L.2
  • 10
    • 0034345423 scopus 로고    scopus 로고
    • Phase transitions on nonamenable group
    • Lyons, R., "Phase transitions on nonamenable group," J. Math. Phys. 41, 1099-26 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 1099-1126
    • Lyons, R.1
  • 11
    • 0004545103 scopus 로고
    • Phase diagrams of Ising models on Husime trees II
    • Monroe, J. L., "Phase diagrams of Ising models on Husime trees II," J. Stat. Phys. 67, 1185-2000 (1992).
    • (1992) J. Stat. Phys. , vol.67 , pp. 1185-2000
    • Monroe, J.L.1
  • 12
    • 0002590532 scopus 로고
    • A new criterion for the location of phase transitions for spin system on a recursive lattice
    • Monroe, J. L., "A new criterion for the location of phase transitions for spin system on a recursive lattice," Phys. Lett. A 188, 80-84 (1994).
    • (1994) Phys. Lett. A , vol.188 , pp. 80-84
    • Monroe, J.L.1
  • 16
    • 0000318254 scopus 로고
    • Markov random field on infinite tree
    • Spitzer, F., "Markov random field on infinite tree," Ann. Prob. 3, 387-398 (1975).
    • (1975) Ann. Prob. , vol.3 , pp. 387-398
    • Spitzer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.