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Quadratic Stochastic Operators and Their Dynamics

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Quantum Quadratic Operators and Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2133))

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Abstract

In this chapter we introduce quadratic stochastic operators defined on a simplex. We study the asymptotic stability of dynamical systems generated by quadratic stochastic operators. Moreover, we provide a stability criterion in terms of an associated nonhomogeneous discrete Markov process.

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  1. Dept. of Comput. & Theor. Sciences, International Islamic University Malaysia, Kuantan, Malaysia

    Farrukh Mukhamedov & Nasir Ganikhodjaev

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  1. Farrukh Mukhamedov
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  2. Nasir Ganikhodjaev
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Mukhamedov, F., Ganikhodjaev, N. (2015). Quadratic Stochastic Operators and Their Dynamics. In: Quantum Quadratic Operators and Processes. Lecture Notes in Mathematics, vol 2133. Springer, Cham. https://doi.org/10.1007/978-3-319-22837-2_2

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