UNUMDOR HC MODELLARINING BIRI UCHUN TRANSLYATSION-INVARIANT GIBBS O‘LCHOVLARI

Mualliflar

  • O‘ktamaliyev Ikromjon Qahramon o‘g‘li NAMANGAN DAVLAT PEDAGOGIKA INSTITUTI
  • Jo‘raxonov Asadillo Hasanboy o‘g‘li NAMANGAN DAVLAT PEDAGOGIKA INSTITUTI
  • Xo‘jamqulov Ravshanbek Hasanboy o‘g‘li NAMANGAN DAVLAT PEDAGOGIKA INSTITUTI

Kalit so‘zlar:

Gibbs o`lchovi, Keli daraxti, unumdor Hard-Core (HC) modeli, gamiltonian.

Abstrak

Ushbu maqolada to`rt holatli unumdor Hard-Core (HC) modelida ixtiyoriy  bo`lgan holdagi Keli daraxtida graf “tayoq” bo`lgan holda translyatsion-invariant Gibbs o`lchovi yagona emasligi isbotlangan.Ushbu maqolada to`rt holatli unumdor Hard-Core (HC) modelida ixtiyoriy  bo`lgan holdagi Keli daraxtida graf “tayoq” bo`lgan holda translyatsion-invariant Gibbs o`lchovi yagona emasligi isbotlangan.

References

Rozikov U. A. Gibbs measures on Cayley trees. Singapore: World Sci., 2013.

Khakimov R.M. The uniqueness of the Translation-invariant Gibbs measure for four state HC-models on a Cayley tree. Journal of Siberian Federal University. Mathematics and Physics. – 2015, 8(2), –P.165-172.

‖Хакимов‖Р.М.‖Меры‖Гиббса‖для‖плодородных‖моделей‖жесткой‖сердчевины‖на‖дереве‖ Кэли. Теор. и матем. физика,– 2016. – Том 186,‖№‖2.‖–C.‖ 340-352

Xakimov, R. M. (2019). IMPROVEMENT OF ONE RESULT FOR THE POTTS MODEL ON THE CALEY TREE. Scientific and Technical Journal of Namangan Institute of Engineering and Technology, 1(6), 3-8.

Umirzaqova, K. O. (2020). PERIODIC GIBBS MEASURES FOR HARD-CORE MODEL. Scientific Bulletin of Namangan State University, 2(3), 67-73.

Xo‘jamqulov, R. (2024). Matematika fanini o ‘rganishda Maple platformasidan foydalanish imkoniyatlari va amaliy jihatlari. Universal xalqaro ilmiy jurnal, 1(12), 335-338.

O‘G, O. K. I. Q., Qizi, N. M. S. N., & Qizi, A. M. O. A. (2024). TEYLOR QATORI YORDAMIDA BA’ZI BIR SONLI QATORLARNING YIG ‘INDISINI TOPISH USULLARI. Science and innovation, 3(Special Issue 57), 275-277.

O‘G, O. K. I. Q., O’G’Li, J. A. H., & O‘G, H. T. X. D. (2024). FUNKSIONAL QATORNI HADLAB INTEGRALLASH VA DIFFERENSIALLASHDAN FOYDALANIB BA’ZI BIR SONLI QATORLAR YIG ‘INDISINI TOPISH METODLARI. Science and innovation, 3(Special Issue 57), 411-416.

Уктамалиев, И. К. (2022). О предгеометриях конечно порожденных коммутативных полугрупп. In МАЛЬЦЕВСКИЕ ЧТЕНИЯ (pp. 166-166).

Уктамалиев, И. К. (2022). О числе счётных моделей аддитивной теории натуральных чисел.

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Jild 2 Nomeri 5.1 (2025): «PEDAGOGIK TA’LIM VA TARBIYA TRANSFORMATSIYASIDA FUNDAMENTAL, AMALIY VA INNOVATSION TADQIQOTLARNING KONSEPTUAL ASOSLARI» mavzusidagi Respublika ilmiy-amaliy anjuman materiallari. Namangan 2025-yil.

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UNUMDOR HC MODELLARINING BIRI UCHUN TRANSLYATSION-INVARIANT GIBBS O‘LCHOVLARI. (2025). Universal Xalqaro Ilmiy Jurnal, 2(5.1), 417-424. https://universaljurnal.uz/index.php/jurnal/article/view/3266