Publication: On b-bistochastic quadratic stochastic operators and their properties
dc.contributor.affiliation | #PLACEHOLDER_PARENT_METADATA_VALUE# | en_US |
dc.contributor.author | Ahmad Fadillah bin Embong | en_US |
dc.date.accessioned | 2024-10-09T07:47:35Z | |
dc.date.available | 2024-10-09T07:47:35Z | |
dc.date.issued | 2016 | |
dc.description.abstract | 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. | en_US |
dc.description.callnumber | t QA 326 A286O 2016 | en_US |
dc.description.degreelevel | Master | |
dc.description.identifier | Thesis : On b-bistochastic quadratic stochastic operators and their properties /by Ahmad Fadillah bin Embong | en_US |
dc.description.identity | t11100345239AhmadFadillah | en_US |
dc.description.kulliyah | Kulliyyah of Science | en_US |
dc.description.notes | Thesis (MSCTS)--International Islamic University Malaysia, 2016. | en_US |
dc.description.physicaldescription | xi, 103 leaves :ill. ;30cm. | en_US |
dc.description.programme | Master of Science (Computational and Theoretical Sciences) | en_US |
dc.identifier.uri | https://studentrepo.iium.edu.my/handle/123456789/11403 | |
dc.identifier.url | https://lib.iium.edu.my/mom/services/mom/document/getFile/NvAFFQ8MYBuJl2K7raBbxD9oxInHxPYU20160713123204968 | |
dc.language.iso | en | en_US |
dc.publisher | Kuantan :International Islamic University Malaysia, 2016 | en_US |
dc.rights | Copyright International Islamic University Malaysia | |
dc.subject.lcsh | Operator algebras | en_US |
dc.subject.lcsh | Stochastic processes | en_US |
dc.title | On b-bistochastic quadratic stochastic operators and their properties | en_US |
dc.type | Master Thesis | en_US |
dspace.entity.type | Publication |