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 (Can select more than one option. Press CONTROL button):	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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