Kolmogorov extension theorem for non-probability measures on Cayley trees

FH Haydarov - Reviews in Mathematical Physics, 2024 - World Scientific
Kolmogorov extension theorem for non-probability measures on Cayley trees Page 1
Reviews in Mathematical Physics Vol. 36, No. 6 (2024) 2450010 (12 pages) © World …

Fixed points of an infinite-dimensional operator related to Gibbs measures

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 …

Weakly periodic gibbs measures for the HC model with a countable set of spin values

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> …

Dynamical systems of an infinite-dimensional non-linear operator

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 …

Translation-Invariant Gibbs Measures for the Hard Core Model with a Countable Set of Spin Values

RM Khakimov, MT Makhammadaliev - Lobachevskii Journal of …, 2024 - Springer
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 …

Periodic Points of a-Adic Operator and their-Adic Gibbs Measures

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 …

Dynamical Systems of an Infinite-Dimensional Nonlinear Operator on the Banach Space

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 …

Неподвижные точки бесконечномерного оператора, связанного с мерами Гиббса

УР Олимов, УА Розиков - Теоретическая и математическая физика, 2023 - mathnet.ru
Описаны неподвижные точки бесконечномерного нелинейного оператора, связанного
с моделью жесткого ядра (HC-модель) со счетным набором N значений спина на …