Namangan State University

output

20122024

most citedDescription of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree

86 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

15 papers

astro-ph.CO2024★ 13 cited

Exploring cosmological evolution and constraints in $f (T)$ teleparallel gravity

M. Koussour, A. Altaibayeva, S. Bekov +3

This study explores the extension of teleparallel gravity within the framework of general relativity, introducing an algebraic function $f (T)$ dependent on the torsion scalar $T$ .…

astro-ph.CO2024★ 35 cited

Late-time cosmology in $f (Q, L_{m})$ gravity: Analytical solutions and observational fits

Yerlan Myrzakulov, O. Donmez, M. Koussour +3

In this study, we examined the late-time cosmic expansion of the universe within the framework of $f (Q, L_{m})$ gravity, where $Q$ denotes the non-metricity and $L_{m}$ represents th…

astro-ph.CO2024★ 10 cited

Signature flips in time-varying $Λ (t)$ cosmological models with observational data

Yerlan Myrzakulov, M. Koussour, M. Karimov +1

In this study, we investigate signature flips within the framework of cosmological models featuring a time-varying vacuum energy term $Λ (t)$ . Specifically, we consider the power-la…

math-ph2023★ 3 cited

Ground states and Gibbs measures of Ising model with competing interactions and an external field on a Cayley tree

M. M. Rahmatullaev, M. A. Rasulova, J. N Asqarov

We consider the Ising model with competing interactions and a nonzero external field on the Cayley tree of order two. We describe ground states and verify the Peierls condition for…

math-ph2022★ 2 cited

Gibbs measures for HC-model with a countable set of spin values on a Cayley tree

R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov

In this paper, we study the HC-model with a countable set $Z$ of spin values on a Cayley tree of order $k \geq 2$ . This model is defined by a countable set of parameters (th…

math-ph2021★ 22 cited

Extremality of translation-invariant Gibbs measures for the Potts-SOS model on the Cayley tree

M. M. Rahmatullaev, M. A. Rasulova

In this paper, we consider the Potts-SOS model where the spin takes values in the set ${0, 1, 2}$ on the Cayley tree of order two. We describe all the translation-invariant split…

math-ph2019★ 11 cited

On Ground States and Phase Transition for $λ$ -Model with the Competing Potts Interactions on Cayley Trees

Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil +1

In this paper, we consider the $λ$ -model with nearest neighbor interactions and with competing Potts interactions on the Cayley tree of order-two. We notice that if $λ$ -function is…

math-ph2019★ 17 cited

On a $p$ -Adic Generalized Gibbs Measure for Ising Model on a Cayley Tree

Muzaffar Rahmatullaev, Otabek Khakimov, Akbarxoja Tukhtaboev

In this paper we consider a $p$ -adic Ising model on the Cayley tree of order $k \geq 2$ . We give full description of all $p$ -adic translation-invariant generalized Gibbs measures fo…

cond-mat.stat-mech2018★ 11 cited

Translation-invariance of periodic Gibbs measures for the Potts model on the Cayley tree

R. Khakimov, M. Mahammadaliyev

Work is a continuation of work TMPh, 175(2), 2013. We study the Potts model with zero external field on the Cayley tree. It is shown that for any values of the parameter all period…

math.DS2018

A dynamical system of temperature-dependent sex linked inheritance

Z. S. Boxonov, U. A. Rozikov

Recently, R.Varro introduced a gonosomal algebra of the temperature-dependent sex determination system which is controlled by three temperature ranges. In this paper we study dynam…

cond-mat.stat-mech2017

Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree

N. Xatamov, R. Khakimov

In this paper we consider translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree of order k. An approximate critical temperature T_{cr} is found such that f…

math-ph2017

Weakly periodic Gibbs measures for two and three state HC models on a Cayley tree

R. M. Khakimov, G. T. Madgoziyev

In this paper we study two and three state HC-model on a Cayley tree. Under some conditions on parameters of the HC-model, in the case of normal divisor of the index four, we prove…

math-ph2013★ 86 cited

Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree

C. Külske, U. A. Rozikov, R. M. Khakimov

For the $q$ -state Potts model on a Cayley tree of order $k \geq 2$ it is well-known that at sufficiently low temperatures there are at least $q + 1$ translation-invariant Gibbs measur…

math-ph2012★ 34 cited

On free energies of the Ising model on the Cayley tree

D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

We present, for the Ising model on the Cayley tree, some explicit formulae of the free energies (and entropies) according to boundary conditions (b.c.). They include translation-in…

math.DS2012

Dynamics of linear maps of idempotent measures

U. A. Rozikov, M. M. Karimov

We describe all linear operators which maps $n - 1$ -dimensional simplex of idempotent measures to itself. Such operators divided to two classes: the first class contains all $n\times…

Exploring cosmological evolution and constraints in f(T) teleparallel gravity

Late-time cosmology in f(Q,Lm​) gravity: Analytical solutions and observational fits

Signature flips in time-varying Λ(t) cosmological models with observational data