Doubly stochastic quadratic operators and Birkhoff’s problem |
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| Authors: | Rasul Ganikhodzhaev |
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| Institution: | Department of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, Tashkent 100174, Uzbekistan |
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| Abstract: | In the present we introduce a concept of doubly stochastic quadratic operator. We study necessary and sufficient conditions for doubly stochasticity of operator. Moreover, we study analogue of Birkhoff’s theorem for the class of doubly stochastic operators. |
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| Keywords: | Quadratic stochastic operator Doubly stochastic quadratic operator Extreme point |
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