Publication:
On b-bistochastic quadratic stochastic operators and their properties

dc.contributor.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#en_US
dc.contributor.authorAhmad Fadillah bin Embongen_US
dc.date.accessioned2024-10-09T07:47:35Z
dc.date.available2024-10-09T07:47:35Z
dc.date.issued2016
dc.description.abstractIn 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.callnumbert QA 326 A286O 2016en_US
dc.description.degreelevelMaster
dc.description.identifierThesis : On b-bistochastic quadratic stochastic operators and their properties /by Ahmad Fadillah bin Embongen_US
dc.description.identityt11100345239AhmadFadillahen_US
dc.description.kulliyahKulliyyah of Scienceen_US
dc.description.notesThesis (MSCTS)--International Islamic University Malaysia, 2016.en_US
dc.description.physicaldescriptionxi, 103 leaves :ill. ;30cm.en_US
dc.description.programmeMaster of Science (Computational and Theoretical Sciences)en_US
dc.identifier.urihttps://studentrepo.iium.edu.my/handle/123456789/11403
dc.identifier.urlhttps://lib.iium.edu.my/mom/services/mom/document/getFile/NvAFFQ8MYBuJl2K7raBbxD9oxInHxPYU20160713123204968
dc.language.isoenen_US
dc.publisherKuantan :International Islamic University Malaysia, 2016en_US
dc.rightsCopyright International Islamic University Malaysia
dc.subject.lcshOperator algebrasen_US
dc.subject.lcshStochastic processesen_US
dc.titleOn b-bistochastic quadratic stochastic operators and their propertiesen_US
dc.typeMaster Thesisen_US
dspace.entity.typePublication

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