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Works cited by this work

54 works

Work: Tree-Homogeneous Quantum Markov Chains

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200419 citations
    ABI

  3. Quantum Markov states on Cayley trees

    Farrukh Mukhamedov, Abdessatar Souissi

    Article20184 citations
    ABI

  4. Conditional expectations in von Neumann algebras and a theorem of Takesaki

    Luigi Accardi, Carlo Cecchini

    Article19824 citations
    ABI

  5. On Quantum Markov Chains on Cayley Tree II: Phase Transitions for the Associated Chain with XY-Model on the Cayley Tree of Order Three

    Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov

    Article20114 citations
    ABI

  6. Untitled

    Other4 citations
    ABI

  7. A quantum Markov chain approach to phase transitions for quantum Ising model with competing <i>XY</i>-interactions on a Cayley tree

    Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi +1

    Article20203 citations
    ABI

  8. Untitled

    Other3 citations
    ABI

  9. On an Algebraic Property of the Disordered Phase of the Ising Model with Competing Interactions on a Cayley Tree

    Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi

    Article20163 citations
    ABI

  10. QUANTUM MARKOV FIELDS ON GRAPHS

    Luigi Accardi, Hiromichi Ohno, Farrukh Mukhamedov

    Article20103 citations
    ABI

  11. Untitled

    Other3 citations
    ABI

  12. Open Quantum Random Walks

    Stéphane Attal, Francesco Petruccione, Christophe Sabot +1

    Article20123 citations
    ABI

  13. On a Class of Quantum Channels, Open Random Walks and Recurrence

    Carlos F. Lardizabal, Rafael Rigão Souza

    Article20153 citations
    ABI

  14. Phase Transitions for Quantum Markov Chains Associated with Ising Type Models on a Cayley Tree

    Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi

    Article20163 citations
    ABI

  15. Open quantum random walks, quantum Markov chains and recurrence

    Ameur Dhahri, Farrukh Mukhamedov

    Review article20193 citations
    ABI

  16. Model checking quantum Markov chains

    Yuan Feng, Nengkun Yu, Mingsheng Ying

    Article20133 citations
    ABI

  17. Untitled

    Other3 citations
    ABI

  18. Untitled

    Other3 citations
    ABI

  19. Untitled

    Other3 citations
    ABI

  20. Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions

    Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi

    Article20223 citations
    ABI

  21. MARKOV STATES AND CHAINS ON THE CAR ALGEBRA

    Luigi Accardi, Francesco Fidaleo, Farrukh Mukhamedov

    ArticleAdvanced Operator Algebra ResearchInfinite Dimensional Analysis Quantum Probability and Related Topics20072 citations
    ABI

  22. Refinement of quantum Markov states on trees

    Farrukh Mukhamedov, Abdessatar Souissi

    Article20212 citations
    ABI

  23. Quantum random walks

    Luigi Accardi, G. S. Watson

    Chapter19892 citations
    ABI

  24. Homogeneous open quantum random walks a lattice

    Raffaella Carbone, Yan Pautrat

    Article20162 citations
    ABI

  25. Open Quantum Random Walks: Reducibility, Period, Ergodic Properties

    Raffaella Carbone, Yan Pautrat

    Article20152 citations
    ABI