On mixing of Markov measures associated with b−bistochastic QSOs

Mukhamedov, Farrukh and Embong, Ahmad Fadillah (2016) On mixing of Markov measures associated with b−bistochastic QSOs. In: Innovations Through Mathematical and Statistical Research, 26th–28th January 2016, Kuala Lumpur, Malaysia.

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Abstract

New majorization is in advantage as compared to the classical one since it can be defined as a partial order on sequences. We call it as b − order. Further, the defined order is used to establish a bistochasticity of nonlinear operators in which, in this study is restricted to the simplest case of nonlinear operators i.e quadratic operators. The discussions in this paper are based on bistochasticity of Quadratic Stochastic Operators (QSO) with respect to the b−order. In short, such operators are called b−bistochastic QSO. The main objectives in this paper are to show the construction of non-homogeneous Markov measures associated with QSO and to show the defined measures associated with the classes of b−bistochastic QSOs meet the mixing property.

Item Type:	Conference or Workshop Item (Invited Papers)
Additional Information:	5537/50913
Uncontrolled Keywords:	Markov measures, bistochasticity, Quadratic Stochastic Operators,
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:	Dr. Farrukh Mukhamedov
Date Deposited:	12 Jul 2016 10:51
Last Modified:	11 Oct 2017 15:16
URI:	http://irep.iium.edu.my/id/eprint/50913

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