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TRANSLATION-INVARIANT GIBBS MEASURES FOR ONE FERTILE HC MODELS

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We study one of fertile Hard-Core (HC) models with four states on Cayley tree of order six and seven. In the case of the fertile ‚Stick‛ graph, the exact values of the parameters are found for which the translation-invariant Gibbs measure is not unique

AUTHORS

B.Ilyaminov

Namangan davlat universiteti

I.O'ktamaliyev

Namangan davlat universiteti

Tags

# konfiguratsiya# HC modeli# конфигурация# НС-модель# Cayley tree# configuration# hard-core model# Gibbs measure# translation invariant Gibbs meas# дерево Кэли# Keli daraxti# Gibbs o`lchovi# unumdor graf# translyatsion-invariant Gibbs o’# плодородный граф# мера Гиббса# fertile graph

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References

‖Георги‖Х.-О.‖Гиббсовские‖меры‖и‖фазовые‖переходы. - М.:‖Мир,‖1992

Синай‖Я.‖Г.‖Теория‖фазовых‖переходов.‖Строгие результаты. - M.: Наука, 1980

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.

Brightwell G., Winkler P. Graph homomorphisms and phase transitions. J. Combin. Theor, Series B. – 1999. – V. 77. – P. 221- 262.