MODELS DESCRIBED BY BISTOCHASTIC QUADRATIC OPERATORS

Abstract: <br> The article introduces the concept of a bistochastic quadratic operator acting in <br> the simplex 1 n S  . Necessary and sufficient conditions for bistochasticity are <br> obtained. It is noticed that the set of all bistochastic quadratic operators acting in 1 n<br> S , forms a polyhedron. The dynamical and statistical (ergodic) properties of the <br> trajectories of bistochastic quadratic operators are investigated.

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