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Работы, на которые ссылается эта работа

Работ: 29

Работа: 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

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Книга2013Цитирований: 174
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Книга1974Цитирований: 104
    ABI

  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Книга1988Цитирований: 81
    ABI

  4. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Книга2013Цитирований: 73
    ABI

  5. A Hard-Core Model on a Cayley Tree: An Example of a Loss Network

    Yuri Suhov, U. A. Rozikov

    СтатьяGraph theory and applicationsQueueing Systems2004Цитирований: 49
    ABI

  6. Random surfaces with two-sided constraints: An application of the theory of dominant ground states

    A. Mazel, Yu. M. Suhov

    Статья1991Цитирований: 43
    ABI

  7. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Статья1999Цитирований: 36
    ABI

  8. Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree

    Christof Külske, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsRandom Structures and Algorithms2016Цитирований: 35
    ABI

  9. A Three State Hard-Core Model on a Cayley Tree

    Jean Martin, U. A. Rozikov, Yuri Suhov

    Статья2005Цитирований: 34
    ABI

  10. Fast mixing for independent sets, colorings, and other models on trees

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Статья2006Цитирований: 29
    ABI

  11. Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes

    Harry Kesten, Bernt P. Stigum

    Статья1966Цитирований: 26
    ABI

  12. Fertile HC models with three states on a cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    СтатьяNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics2008Цитирований: 22
    ABI

  13. Gibbs measures for the fertile three-state hard-core models on a Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    Статья2015Цитирований: 20
    ABI

  14. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2015Цитирований: 16
    ABI

  15. Uniqueness of weakly periodic Gibbs measure for HC-models

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsMathematical Notes2013Цитирований: 12
    ABI

  16. Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition

    Emilio N. M. Cirillo, Enzo Olivieri

    Статья1996Цитирований: 11
    ABI

  17. Holliday junctions in the Blume–Capel model of DNA

    N. M. Khatamov

    СтатьяStochastic processes and statistical mechanicsTheoretical and Mathematical Physics2021Цитирований: 9
    ABI

  18. Monte Carlo study of the triangular Blume-Capel model under bond randomness

    Panagiotis E. Theodorakis, Nikolaos G. Fytas

    Статья2012Цитирований: 9
    ABI

  19. Weakly Periodic Gibbs Measures for HC-Models on Cayley Trees

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsSiberian Mathematical Journal2018Цитирований: 8
    ABI

  20. Без названия

    ДругоеЦитирований: 8
    ABI

  21. Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree

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

    СтатьяTheoretical and Computational PhysicsJournal of Mathematical Sciences2024Цитирований: 7
    ABI

  22. Translation-Invariant Extreme Gibbs Measures for the Blume–Capel Model Withwand on a Cayley Tree

    N. M. Khatamov

    СтатьяTheoretical and Computational PhysicsUkrainian Mathematical Journal2020Цитирований: 7
    ABI

  23. Без названия

    ДругоеЦитирований: 6
    ABI

  24. Metastability of Blume–Capel Model with Zero Chemical Potential and Zero External Field

    Seonwoo Kim

    Статья2021Цитирований: 6
    ABI

  25. Без названия

    ДругоеЦитирований: 6
    ABI