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Works cited by this work

27 works

Work: On dynamics of Volterra and non-Volterra cubic stochastic operators

  1. Mathematical Structures in Population Genetics

    Yuri I. Lyubich

    Book1992103 citations
    ABI

  2. QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS

    Rasul Ganikhodzhaev, Farrukh Mukhamedov, U. A. Rozikov

    ArticleQuantum Mechanics and ApplicationsInfinite Dimensional Analysis Quantum Probability and Related Topics201184 citations
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  3. QUADRATIC STOCHASTIC OPERATORS, LYAPUNOV FUNCTIONS, AND TOURNAMENTS

    Rasul Ganikhodzhaev

    Article199374 citations
    ABI

  4. Quadratic stochastic operators and zero-sum game dynamics

    Nasir Ganikhodjaev, Rasul Ganikhodjaev, Uygun Jamilov

    ArticleEconomic theories and modelsErgodic Theory and Dynamical Systems201445 citations
    ABI

  5. ON THE BEHAVIOUR OF TRAJECTORIES AND THE ERGODIC HYPOTHESIS FOR QUADRATIC MAPPINGS OF A SIMPLEX

    M I Zakharevich

    Article197844 citations
    ABI

  6. Solution of a Mathematical Problem Connected with the Theory of Heredity

    S.N. Bernstein

    Article194244 citations
    ABI

  7. On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex

    Насир Набиевич Ганиходжаев, D. Zanin

    Article200437 citations
    ABI

  8. The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex

    U. U. Zhamilov, U. A. Rozikov

    Article200933 citations
    ABI

  9. Evolutionary dynamics of zero-sum games

    Ethan Akin, Viktor Losert

    Article198424 citations
    ABI

  10. Non-Ergodicity of Uniform Quadratic Stochastic Operators

    Uygun Jamilov, M. Ladra

    ArticleEconomic theories and modelsQualitative Theory of Dynamical Systems201523 citations
    ABI

  11. On a Family of Strictly Non-Volterra Quadratic Stochastic Operators

    Uygun Jamilov

    ArticleAdvanced Topics in AlgebraJournal of Physics Conference Series201620 citations
    ABI

  12. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry200919 citations
    ABI

  13. On Symmetric Strictly non-Volterra Quadratic Stochastic Operators

    Uygun Jamilov

    Article201619 citations
    ABI

  14. On Cubic Operators Defined on Finite-Dimensional Simplexes

    U. A. Rozikov, A. Yu. Khamraev

    ArticleAdvanced Topics in AlgebraUkrainian Mathematical Journal200416 citations
    ABI

  15. Persistence in models of three interacting predator-prey populations

    H. I. Freedman, Paul Waltman

    Article198413 citations
    ABI

  16. On Non-ergodic Volterra Cubic Stochastic Operators

    Farrukh Mukhamedov, Chin Hee Pah, Azizi Rosli

    Article201913 citations
    ABI

  17. Conditional cubic stochastic operator

    R.R. Davronov, Uygun Jamilov, M. Ladra

    ArticleAdvanced Topics in AlgebraThe Journal of Difference Equations and Applications201512 citations
    ABI

  18. On a Volterra Cubic Stochastic Operator

    Uygun Jamilov, A. Yu. Khamraev, M. Ladra

    ArticleAdvanced Topics in AlgebraBulletin of Mathematical Biology201711 citations
    ABI

  19. On Identically Distributed non-Volterra Cubic Stochastic Operator

    Uygun Jamilov, M. Ladra

    Article20179 citations
    ABI

  20. Asymptotics for a class of iterated random cubic operators

    A J Homburg, U U Jamilov, M Scheutzow

    ArticleAdvanced Topics in AlgebraNonlinearity20198 citations
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  21. Untitled

    Article8 citations
    ABI

  22. On constrained Volterra cubic stochastic operators

    Uygun Jamilov, Andrejs Reinfelds

    ArticleAdvanced Topics in AlgebraThe Journal of Difference Equations and Applications20207 citations
    ABI

  23. Solute molecular dynamics in a mesoscale solvent

    Anatoly Malevanets, Raymond Kapral

    Article20002 citations
    ABI

  24. Untitled

    Other1 citations
    ABI

  25. Untitled

    Other1 citations
    ABI