On the orthogonality preserving quadratic stochastic operators
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. In the present paper, we first give a simple characterization of Volterra QSO in terms of absol...
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American Institute of Physics
2015
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| Online Access: | http://irep.iium.edu.my/42973/ http://irep.iium.edu.my/42973/ http://irep.iium.edu.my/42973/ http://irep.iium.edu.my/42973/1/mf-hafis-AIP-2015.pdf |
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iium-429732015-06-05T07:51:48Z http://irep.iium.edu.my/42973/ On the orthogonality preserving quadratic stochastic operators Mukhamedov, Farrukh Mohd. Taha, Mohd. Hafizuddin QA Mathematics A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. In the present paper, we first give a simple characterization of Volterra QSO in terms of absolutely continuity of discrete measures. Further, we introduce a notion of orthogonal preserving QSO, and describe such kind of operators defined on two dimensional simplex. It turns out that orthogonal preserving QSOs are permutations of Volterra QSO. The associativity of genetic algebras generated by orthogonal preserving QSO is studied too. American Institute of Physics 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/42973/1/mf-hafis-AIP-2015.pdf Mukhamedov, Farrukh and Mohd. Taha, Mohd. Hafizuddin (2015) On the orthogonality preserving quadratic stochastic operators. AIP Conference Proceedings , 1660. 050057-1 -050057-8. ISSN 0094-243X (P), 1551-7616 (O) http://scitation.aip.org/content/aip/proceeding/aipcp 10.1063/1.4915690 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Mohd. Taha, Mohd. Hafizuddin On the orthogonality preserving quadratic stochastic operators |
| description |
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in
biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. In the present paper, we first give a
simple characterization of Volterra QSO in terms of absolutely continuity of discrete measures. Further, we introduce a notion
of orthogonal preserving QSO, and describe such kind of operators defined on two dimensional simplex. It turns out that
orthogonal preserving QSOs are permutations of Volterra QSO. The associativity of genetic algebras generated by orthogonal
preserving QSO is studied too. |
| format |
Article |
| author |
Mukhamedov, Farrukh Mohd. Taha, Mohd. Hafizuddin |
| author_facet |
Mukhamedov, Farrukh Mohd. Taha, Mohd. Hafizuddin |
| author_sort |
Mukhamedov, Farrukh |
| title |
On the orthogonality preserving quadratic stochastic operators |
| title_short |
On the orthogonality preserving quadratic stochastic operators |
| title_full |
On the orthogonality preserving quadratic stochastic operators |
| title_fullStr |
On the orthogonality preserving quadratic stochastic operators |
| title_full_unstemmed |
On the orthogonality preserving quadratic stochastic operators |
| title_sort |
on the orthogonality preserving quadratic stochastic operators |
| publisher |
American Institute of Physics |
| publishDate |
2015 |
| url |
http://irep.iium.edu.my/42973/ http://irep.iium.edu.my/42973/ http://irep.iium.edu.my/42973/ http://irep.iium.edu.my/42973/1/mf-hafis-AIP-2015.pdf |
| first_indexed |
2023-09-18T21:01:14Z |
| last_indexed |
2023-09-18T21:01:14Z |
| _version_ |
1777410636814221312 |