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Quadratic stochastic operators corresponding to graphs

Uygun JamilovInstitute of Mathematics and Information Technologies, Tashkent, Uzbekistan
ABI

Аннотация

We introduce the notion of a quadratic stochastic operator corresponding to graph. It is shown that each such operator has a unique fixed point. Besides, it is proved that any trajectory of such quadratic operator exponentially rapidly converges to the fixed point.

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