On b-bistochastic quadratic stochastic operators and their properties /
In the present thesis, we considered a majorization in term of b-order. Using such majorization, we defined bistochastic QSOs with respect to b-order, namely b-bistochastic QSOs in which it defines a new class of QSOs. Further, we provided some crucial properties of b-bistochastic QSOs in a general...
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| Format: | Thesis |
| Language: | English |
| Published: |
Kuantan, Pahang :
Kuliyyah of Science, International Islamic University Malaysia,
2016
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| Online Access: | Click here to view 1st 24 pages of the thesis. Members can view fulltext at the specified PCs in the library. |
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| LEADER | 028930000a22002770004500 | ||
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| 008 | 160408t2016 my a g m 000 0 eng d | ||
| 040 | |a UIAM |b eng | ||
| 041 | |a eng | ||
| 043 | |a a-my--- | ||
| 050 | 0 | 0 | |a QA326 |
| 100 | 0 | |a Ahmad Fadillah bin Embong | |
| 245 | 1 | |a On b-bistochastic quadratic stochastic operators and their properties / |c by Ahmad Fadillah bin Embong | |
| 260 | |a Kuantan, Pahang : |b Kuliyyah of Science, International Islamic University Malaysia, |c 2016 | ||
| 300 | |a xi, 103 leaves : |b ill. ; |c 30cm. | ||
| 502 | |a Thesis (MSCTS)--International Islamic University Malaysia, 2016. | ||
| 504 | |a Includes bibliographical references (leaves 98-102). | ||
| 520 | |a In the present thesis, we considered a majorization in term of b-order. Using such majorization, we defined bistochastic QSOs with respect to b-order, namely b-bistochastic QSOs in which it defines a new class of QSOs. Further, we provided some crucial properties of b-bistochastic QSOs in a general setting, and fully described b-bistochastic QSOs on one and two dimensional simplices. In addition, we showed that for every b-bistochastic QSOs, their trajectories were convergent. Besides, it was found that (0,0,…,1) was the fixed point of any b-bistochastic QSOs. Next, we managed to fully study the dynamics of b-bistochatic QSOs on one dimensional simplex, whereas on two dimensional simplex, we limited the study on boundaries only. Generally, it was established that the set of all b-bistochastic QSOs formed a convex set, hence we were interested to describe its extreme points. The results were presented as the list of extreme points on low dimensional simplices. Moreover, we introduced quasi-extremity of b-bistochastic QSO and investiged it on two dimensional simplex. Finally, we associated Markov measures with b-bistochastic QSOs. On some classes of b-bistochastic QSOs, the defined measures were proven to satisfy the mixing property. Moreover, we studied the absolute continuity of Markov measures associated with a class of b-bistochastic QSOs. | ||
| 596 | |a 1 6 | ||
| 655 | 7 | |a Theses, IIUM local | |
| 690 | |a Dissertations, Academic |x Department of Computational and Theoretical Sciences |z IIUM | ||
| 710 | 2 | |a International Islamic University Malaysia. |b Department of Computational and Theoretical Sciences | |
| 856 | 4 | |u https://lib.iium.edu.my/mom/services/mom/document/getFile/NvAFFQ8MYBuJl2K7raBbxD9oxInHxPYU20160713123204968 |z Click here to view 1st 24 pages of the thesis. Members can view fulltext at the specified PCs in the library. | |
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