On marginal processes of quadratic stochastic processes
It is known that the theory of Markov processes is a rapidly developing field with numerous applications to many branches of mathematics and physics, biology, and so on. But there are some physical models which cannot be described by such processes. One of such models is related to population gen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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School of Mathematical Sciences, Universiti Sains Malaysia
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/44017/ http://irep.iium.edu.my/44017/1/mfakma-BMMSS-2015.pdf |
| _version_ | 1848782538839949312 |
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| author | Mukhamedov, Farrukh Supar, Nurul Akma |
| author_facet | Mukhamedov, Farrukh Supar, Nurul Akma |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | It is known that the theory of Markov processes is a rapidly developing field
with numerous applications to many branches of mathematics and physics, biology,
and so on. But there are some physical models which cannot be described by such
processes. One of such models is related to population genetics. These processes are
called quadratic stochastic processes (q.s.p.). In the present paper, we associate to
given q.s.p. two kind of processes, which call marginal processes. Note that one of
them is Markov process. We prove that such kind of processes uniquely define q.s.p.
Moreover, we provide a construction of nontrivial examples of q.s.p.Weak ergodicity
of q.s.p. is also studied in terms of the marginal processes. |
| first_indexed | 2025-11-14T16:07:03Z |
| format | Article |
| id | iium-44017 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:07:03Z |
| publishDate | 2015 |
| publisher | School of Mathematical Sciences, Universiti Sains Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-440172017-08-07T02:34:10Z http://irep.iium.edu.my/44017/ On marginal processes of quadratic stochastic processes Mukhamedov, Farrukh Supar, Nurul Akma QA Mathematics It is known that the theory of Markov processes is a rapidly developing field with numerous applications to many branches of mathematics and physics, biology, and so on. But there are some physical models which cannot be described by such processes. One of such models is related to population genetics. These processes are called quadratic stochastic processes (q.s.p.). In the present paper, we associate to given q.s.p. two kind of processes, which call marginal processes. Note that one of them is Markov process. We prove that such kind of processes uniquely define q.s.p. Moreover, we provide a construction of nontrivial examples of q.s.p.Weak ergodicity of q.s.p. is also studied in terms of the marginal processes. School of Mathematical Sciences, Universiti Sains Malaysia 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44017/1/mfakma-BMMSS-2015.pdf Mukhamedov, Farrukh and Supar, Nurul Akma (2015) On marginal processes of quadratic stochastic processes. Bulletin of the Malaysian Mathematical Sciences Society, 38 (3). pp. 1281-1296. ISSN 0126-6705 http://link.springer.com/article/10.1007%2Fs40840-014-0080-2 10.1007/s40840-014-0080-2 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Supar, Nurul Akma On marginal processes of quadratic stochastic processes |
| title | On marginal processes of quadratic stochastic processes |
| title_full | On marginal processes of quadratic stochastic processes |
| title_fullStr | On marginal processes of quadratic stochastic processes |
| title_full_unstemmed | On marginal processes of quadratic stochastic processes |
| title_short | On marginal processes of quadratic stochastic processes |
| title_sort | on marginal processes of quadratic stochastic processes |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/44017/ http://irep.iium.edu.my/44017/ http://irep.iium.edu.my/44017/ http://irep.iium.edu.my/44017/1/mfakma-BMMSS-2015.pdf |