R. M. Khakimov, “Uniqueness of Weakly Periodic Gibbs Measure for HC-Models”, Mat. Zametki, 94:5 (2013), 796–800; Math. Notes, 94:5 (2013), 834

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Matematicheskie Zametki, 2013, Volume 94, Issue 5, Pages 796–800
DOI: https://doi.org/10.4213/mzm9687 (Mi mzm9687)

This article is cited in 13 scientific papers (total in 13 papers)

Brief Communications

Uniqueness of Weakly Periodic Gibbs Measure for HC-Models

R. M. Khakimov

Namangam State University

Full-text PDF (311 kB) Citations (13)

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DOI: https://doi.org/10.4213/mzm9687

Keywords: weakly periodic Gibbs measure, HC-model (Hard-Core-model), Cayley tree.

Received: 04.11.2012

English version:
Mathematical Notes, 2013, Volume 94, Issue 5, Pages 834–838
DOI: https://doi.org/10.1134/S0001434613110199

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: R. M. Khakimov, “Uniqueness of Weakly Periodic Gibbs Measure for HC-Models”, Mat. Zametki, 94:5 (2013), 796–800; Math. Notes, 94:5 (2013), 834–838

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Linking options:

https://www.mathnet.ru/eng/mzm9687

https://doi.org/10.4213/mzm9687

https://www.mathnet.ru/eng/mzm/v94/i5/p796

This publication is cited in the following 13 articles:

N. M. Khatamov, “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”, Math. Notes, 115:1 (2024), 89–101
U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev, “Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree”, J Math Sci, 278:4 (2024), 647
R. M. Khakimov, M. T. Makhammadaliev, F. H. Haydarov, “New class of Gibbs measures for two-state hard-core model on a Cayley tree”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top., 26:04 (2023)
N. M. Khatamov, “Extremality of Gibbs Measures for the $HC$ -Blume–Capel Model on the Cayley Tree”, Math. Notes, 111:5 (2022), 768–781
U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev, “Periodicheskie mery Gibbsa dlya NS-modeli s dvumya sostoyaniyami na dereve Keli”, Nauka — tekhnologiya — obrazovanie — matematika — meditsina, SMFN, 68, no. 1, Rossiiskii universitet druzhby narodov, M., 2022, 95–109
N. M. Khatamov, “Ekstremalnost nekotorykh mer Gibbsa dlya HC-modeli Blyuma-Kapelya na dereve Keli”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 32:2 (2022), 256–277
N. M. Khatamov, “Periodic Gibbs Measures and Their Extremes for the HC–Blume–Capel Model in the Case of a "Wand" on the Cayley Tree”, Lobachevskii J Math, 43:9 (2022), 2515
R. M. Khakimov, M. T. Makhammadaliev, “Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model”, Theoret. and Math. Phys., 204:2 (2020), 1059–1078
R. M. Khakimov, “Weakly periodic Gibbs measures for HC-models on Cayley trees”, Siberian Math. J., 59:1 (2018), 147–156
R. M. Khakimov, “Gibbs measures for fertile hard-core models on the Cayley tree”, Theoret. and Math. Phys., 186:2 (2016), 294–305
Khakimov R.M., “Weakly Periodic Gibbs Measures in the HC-Model for a Normal Divisor of Index Four”, Ukr. Math. J., 67:10 (2016), 1584–1598
Rustam M. Khakimov, “The uniqueness of the translation-invariant Gibbs measure for four state HC-models on a Cayley tree”, Zhurn. SFU. Ser. Matem. i fiz., 8:2 (2015), 165–172
R. M. Khakimov, “Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree”, Theoret. and Math. Phys., 183:3 (2015), 829–835

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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