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Geometric quadratic stochastic operator on countable infinite set

Ganikhodjaev, Nasir and Hamzah, Nur Zatul Akmar (2015) Geometric quadratic stochastic operator on countable infinite set. AIP Conference Proceedings , 1643. pp. 706-712. ISSN 0094-243X E-ISSN 1551-7616

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Abstract

In this paper we construct the family of Geometric quadratic stochastic operators defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. Such operators can be reinterpreted in terms of of evolutionary operator of free population. We show that Geometric quadratic stochastic operators are regular transformations.

Item Type: Article (Journal)
Additional Information: 4430/41248
Uncontrolled Keywords: Geometric distribution, Quadratic stochastic operators, Regular
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 12 Mar 2015 12:51
Last Modified: 17 Feb 2017 17:56
URI: http://irep.iium.edu.my/id/eprint/41248

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