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Turkish Journal of Mathematics

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.

DOI

10.55730/1300-0098.3168

Keywords

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

First Page

1397

Last Page

1407

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