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Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex

Ganikhodjaev, Nasir and Jusoo, Siti Hasana (2018) Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex. AIP Conference Proceedings, 1974. 030020-1. ISSN 0094-243X

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Abstract

In this paper, we investigate the dynamics of the Lebesque quadratic stochastic operator on the set of all Lebesque measures of the set X = [0,1] . We consider the family of functions such that for any fixed x, y a probability measure P(x, y,.) is absolutely continuous with respect to usual Lebesque measure on X with simple Radon-Nikodym derivative. We construct the family of strictly non-Volterra quadratic stochastic and show that their dynamic behavior coincides with dynamic of strictly non-Volterra quadratic stochastic operator on 3-dimensional simplex.

Item Type: Article (Journal)
Additional Information: 4430/66206
Uncontrolled Keywords: Ergodic transformation, Quadratic stochastic operator, Regular transformation.
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science
Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 02 Oct 2018 10:46
Last Modified: 18 Dec 2018 10:20
URI: http://irep.iium.edu.my/id/eprint/66206

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