Search Results - "Mukhamedov, F. M."

Extremality of translation-invariant Gibbs measures for the -model on the binary Cayley tree by Mukhamedov, F. M., Rahmatullaev, M. M., Rasulova, M. A.

“…We consider the -model on the Cayley tree of order . Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether…”
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The -adic Ising model in an external field on a Cayley tree: periodic Gibbs measures by Mukhamedov, F. M., Rahmatullaev, M. M., Tukhtabaev, A. M., Mamadjonov, R.

“…We consider the generalized Gibbs measures corresponding to the -adic Ising model in an external field on the Cayley tree of order two. It is established that…”
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On Nonergodic Uniform Lotka–Volterra Operators by Mukhamedov, F. M., Jamilov, U. U., Pirnapasov, A. T.

“…In this paper, we introduce uniform Lotka–Volterra operators and construct Lyapunov functions for them. We establish that the ergodic averages associated with…”
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Weakly Periodic Ground States for the λ-Model by Mukhamedov, F. M., Rakhmatullaev, M. M., Rasulova, M. A.

“…For the λ-model on a Cayley tree of order k ≥ 2, we describe the set of periodic and weakly periodic ground states corresponding to normal divisors of index 2…”
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Extremality of translation-invariant Gibbs measures for the $$\lambda$$-model on the binary Cayley tree by Mukhamedov, F. M., Rahmatullaev, M. M., Rasulova, M. A.

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The $$p$$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures by Mukhamedov, F. M., Rahmatullaev, M. M., Tukhtabaev, A. M., Mamadjonov, R.

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On the existence of phase transition for the 1D p-adic countable state Potts model by Mukhamedov, F. M.

“…In the present paper we establish the existence of a phase transition for one-dimensional the countable state p -adic Potts model. To establish such results,…”
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Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice by Mukhamedov, F. M.

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Ergodicity coefficient and ergodic properties of inhomogeneous Markov chains in ordered normed spaces with a base by Mukhamedov, F. M., Mukhamedov, M. A.

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Translation-invariant p-adic quasi-Gibbs measures for the Ising–Vannimenus model on a Cayley tree by Mukhamedov, F. M., Saburov, M. Kh, Khakimov, O. Kh

“…We consider the p-adic Ising–Vannimenus model on the Cayley tree of order k = 2. This model contains nearest-neighbor and next-nearest-neighbor interactions…”
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Some Properties of a Class of Diagonalizable States of von Neumann Algebras by Ganikhodzhaev, N. N., Mukhamedov, F. M.

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On the Blum-Hanson theorem for quantum quadratic processes by Mukhamedov, F. M.

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A polynomial p-adic dynamical system by Mukhamedov, F. M., Rozikov, U. A.

“…We completely describe the Siegel discs and attractors for the p-adic dynamical system f(x) = x 2 n+ 1 + ax n+ 1 on the space of complex p-adic numbers…”
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The disordered phase of the inhomogeneous potts model is extremal on the Cayley tree by Mukhamedov, F. M., Rozikov, U. A.

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Solvability of cubic equations in p-ADIC integers (p > 3) by Mukhamedov, F. M., Omirov, B. A., Saburov, M. Kh, Masutova, K. K.

“…We give a criterion for the existence of solutions to an equation of the form x 3 + ax = b , where a, b ∈ ℚ p , in p -adic integers for p > 3. Moreover, in the…”
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Uniqueness of quantum Markov chains associated with an XY-model on a cayley tree of order 2 by Accardi, L., Mukhamedov, F. M., Saburov, M. Kh

“…We propose the construction of a quantum Markov chain that corresponds to a “forward” quantum Markov chain. In the given construction, the quantum Markov chain…”
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On Gibbs measures of P-adic Potts model on the cayley tree by Mukhamedov, Farruh M, Rozikov, Utkir A

“…We consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ϵ Q p ) model on the Cayley tree of order k ≥ 1. It is proved that…”
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On $p$-adic Gibbs measures of countable state Potts model on the Cayley tree by Khrennikov, A. Yu, Mukhamedov, F. M, Mendes, J. F. F

“…Nonlinearity 20:2923-2937,2007 In the present paper we consider countable state $p$-adic Potts model on the Cayley tree. A construction of $p$-adic Gibbs…”
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