UR Olimov, UA Rozikov - Theoretical and Mathematical Physics, 2023 - Springer
We describe fixed points of an infinite-dimensional nonlinear operator related to a hard-core (HC) model with a countable set of spin values on a Cayley tree. This operator is defined by …
M Makhammadaliev - Reports on Mathematical Physics, 2024 - Elsevier
In this paper, we study the weakly periodic (nonperiodic) Gibbs measures for the Hard Core (HC) model with a countable set ℤ of spin values and with a countable set of parameters λ i> …
UR Olimov, UA Rozikov - arXiv preprint arXiv:2402.15479, 2024 - arxiv.org
We investigate discrete-time dynamical systems generated by an infinite-dimensional non- linear operator that maps the Banach space $ l_1 $ to itself. It is demonstrated that this …
In this paper, we study the Hard Core (HC) model with a countable set of spin values on a Cayley tree of order. This model is defined by a countable set of parameters (that is, the …
UA Rozikov, IA Sattarov, AM Tukhtabaev - p-Adic Numbers, Ultrametric …, 2022 - Springer
In this paper we investigate generalized Gibbs measure (GGM) for-adic Hard-Core (HC) model with a countable set of spin values on a Cayley tree of order. This model is defined by …
UR Olimov, UA Rozikov - Russian Journal of Nonlinear Dynamics, 2024 - mathnet.ru
We investigate discrete-time dynamical systems generated by an infinite-dimensional nonlinear operator that maps the Banach space l 1 to itself. It is demonstrated that this …
Описаны неподвижные точки бесконечномерного нелинейного оператора, связанного с моделью жесткого ядра (HC-модель) со счетным набором N значений спина на …