How to prove non-ergodicity of Volterra quadratic stochastic operators: a general strategy
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 t...
Main Authors: | , |
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Format: | Conference or Workshop Item |
Language: | English |
Published: |
2012
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Subjects: | |
Online Access: | http://irep.iium.edu.my/28082/ http://irep.iium.edu.my/28082/ http://irep.iium.edu.my/28082/1/How_to_Prove_Non-Ergodicity-iCAST-2012.pdf |
Summary: | 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. |
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