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Universitet kutubxonasi

On dynamics of infinite dimensional Volterra QSOs

On dynamics of infinite dimensional Volterra QSOs

Yuklab olishlar

 this paper, we investigate the behavior of infinite-dimensional Volterra quadratic stochastic operators corresponding to the negative upper triangular skew-symmetric matrix. It is proved that the trajectory of such operators cannot consist of convergent subsequences. This property immediately implies non-ergodicity of the operator.