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Turkish Journal of Mathematics

DOI

10.55730/1300-0098.3168

Abstract

n this paper, we construct a nonhomogeneous geometric quadratic stochastic operator generated by 2-partition $\xi$ on countable state space $X=\mathbb{Z}^{*}$. The limiting behavior of such operator is studied. We have proved that such operator possesses the regular property.

Keywords

Quadratic stochastic operator, countable state space, partition, limiting behavior, regular transformation

First Page

1397

Last Page

1407

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