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How to prove non-ergodicity of Volterra quadratic stochastic operators: a general strategy

Ganikhodzaev, Rasul and Saburov, Mansoor (2012) How to prove non-ergodicity of Volterra quadratic stochastic operators: a general strategy. In: International Conference on Advancedment in Science and Technology (IIUM-iCAST 2012), Contemporary Mathematics, Mathematical Physics and their Applications, 7– 10 November 2012, Kuantan, Pahang, Malaysia.

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Abstract

In this paper, we shall give a general program of proving non-ergodicity of Volterra QSO (quadratic stochastic operator). This program already mentioned in the first author's doctor of science thesis. However, there is another program to do so [1]. Here, we are going to provide some examples to support our program. It is worth pointing out that some results of the paper [1] can be derived from our general result.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 6769/28082
Uncontrolled Keywords: Quadratic Stochastic Operators, Ergodicity, Volterra Operators.
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Biotechnology
Depositing User: Dr Mansoor Saburov
Date Deposited: 04 Jan 2013 15:54
Last Modified: 14 Feb 2013 02:39
URI: http://irep.iium.edu.my/id/eprint/28082

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