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http://studentrepo.iium.edu.my/handle/123456789/6131
Title: | On ξ-quadratic stochastic operators and related algebras | Authors: | Qaralleh, Izzat Salem | Subject: | Stochastic processes Quadratic fields Associative rings |
Year: | 2014 | Publisher: | Kuala Lumpur : International Islamic University Malaysia, 2014 | Abstract in English: | In this thesis, we start to study a class of quadratic stochastic operators called (s) ξ - QSO. We first classify them into 20 non-conjugate classes. Moreover, we investigate the dynamics of four classes of (s) ξ -QSO. Furthermore, we study another class of quadratic stochastic operator called (a) ξ -QSO. We also classify (a) ξ -QSO into two non-conjugate classes. Further, we investigate the dynamics of these classes. After that, we move to study the existence of associativity and derivations of genetic algebras generated by the four classes of (s) ξ . Moreover, we figure out the connection between genetic and evolution algebras. Thereafter, we reduce the study of arbitrary evolution algebra of permutations into two special evolution algebras. Furthermore, we establish some properties of three-dimensional evolution algebras whose each basis element has infinite period. At end, we classify three dimension nilpotent and solvable evolution algebras. | Degree Level: | Doctoral | Call Number: | t QA 274.2 Q13O 2014 | Kullliyah: | Kulliyyah of Science | Programme: | Doctor of Philosophy in Computational and Theoretical Science | URI: | http://studentrepo.iium.edu.my/jspui/handle/123456789/6131 | URL: | https://lib.iium.edu.my/mom/services/mom/document/getFile/CuWc3fSJKTB18InUvrELcTqrHW8hB17Q20150318114222086 |
Appears in Collections: | KOS Thesis |
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t11100320489IzzatSalem_SEC_24.pdf | 24 pages file | 784.79 kB | Adobe PDF | View/Open |
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