O‘zbekiston matematika jurnali Volume 69 Issue 3 (2025) · pp. 126-133

The phase transition for the Hard-Core model on the closed Cayley tree of branching ratio two

Makhammadaliev M.T., Karshiboev O.Sh.

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Abstract

In this paper, we consider the two-state Hard-Core model on the closed Cayley tree of branching ratio two. On the symmetric case, we exactly solve the model and show that there is a phase transition.

closed Cayley tree, Gibbs measure, Hard-Core model, phase transition

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Cite

APA 7 
Makhammadaliev M.T. & Karshiboev O.Sh. (2025). The phase transition for the Hard-Core model on the closed Cayley tree of branching ratio two. O‘zbekiston matematika jurnali, 69(3), 126-133.
GOST R 7.0.5 
Makhammadaliev M.T., Karshiboev O.Sh. The phase transition for the Hard-Core model on the closed Cayley tree of branching ratio two // O‘zbekiston matematika jurnali. 2025. Т. 69. № 3. С. 126-133.
BibTeX 
@article{m.t.2025,
  author  = {Makhammadaliev M.T. and Karshiboev O.Sh.},
  title   = {The phase transition for the Hard-Core model on the closed Cayley tree of branching ratio two},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {3},
  pages   = {126-133}
}
RIS 
TY  - JOUR
AU  - Makhammadaliev M.T.
AU  - Karshiboev O.Sh.
TI  - The phase transition for the Hard-Core model on the closed Cayley tree of branching ratio two
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 3
SP  - 126
EP  - 133
ER  -