Search Results - "Khatamov, N. M."
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Periodic Gibbs Measures and Their Extremality for the HC-Blume–Capel Model in the Case of a Wand with a Chemical Potential on a Cayley Tree
Published in Mathematical Notes (01-02-2024)“…Periodic Gibbs measures for the HC-Blume–Capel model with a chemical potential with parameters on a Cayley tree in the case of a wand graph are studied. We…”
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Holliday junctions in the Blume–Capel model of DNA
Published in Theoretical and mathematical physics (01-03-2021)“…We regard a DNA molecule as a configuration of the Blume–Capel model on paths in a Cayley tree. We study translation-invariant Gibbs measures (TIGMs) of the…”
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Periodic Gibbs Measures and Their Extremes for the HC–Blume–Capel Model in the Case of a ‘‘Wand’’ on the Cayley Tree
Published in Lobachevskii journal of mathematics (01-09-2022)“…In this paper, we study the periodic Gibbs measures for the HC–Blume–Capel model in the case of a ‘‘wand’’ on a Cayley tree of order two. It is proved that in…”
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Extremality of Gibbs Measures for the -Blume–Capel Model on the Cayley Tree
Published in Mathematical Notes (2022)“…In this paper, we consider translation-invariant Gibbs measures (TIGMs) for the -Blume–Capel model in case of “wands” with chemical potential with parameters…”
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Translation-Invariant Extreme Gibbs Measures for the Blume–Capel Model Withwand on a Cayley Tree
Published in Ukrainian mathematical journal (01-09-2020)“…We study translation-invariant Gibbs measures for the Blume–Capel model with wand on a Cayley tree of order k. We find the exact critical value 𝜃 cr = 1 such…”
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Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model
Published in Theoretical and mathematical physics (01-02-2024)“…We consider a DNA molecule as a configuration of the Potts model on paths of the Cayley tree. For this model, we study new translation-invariant Gibbs…”
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Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree
Published in Theoretical and mathematical physics (2022)“…We study the Blume–Capel model with a countable set of spin values and a force of interaction between the nearest neighbors on a Cayley tree of order . The…”
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Extremality of Gibbs Measures for the $$HC$$-Blume–Capel Model on the Cayley Tree
Published in Mathematical Notes (01-06-2022)Get full text
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Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees
Published in Reports on mathematical physics (01-12-2023)Get full text
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Nonuniqueness of a Gibbs measure for the Ising ball model
Published in Theoretical and mathematical physics (01-09-2014)“…We study a new model, the so-called Ising ball model on a Cayley tree of order k ≥ 2 . We show that there exists a critical activity such that at least one…”
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New classes of ground states for the Potts model with random competing interactions on a Cayley tree
Published in Theoretical and mathematical physics (01-07-2014)“…We consider the Potts model with random competing interactions on a Cayley tree. We study the domain of ground states of this model…”
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Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees
Published 01-06-2022“…The work is devoted to gradient Gibbs measures (GGMs) of a SOS model with countable set $\mathbb Z$ of spin values and having alternating magnetism on Cayley…”
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