Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex
In this paper, we investigate the dynamics of the Lebesque quadratic stochastic operator on the set of all Lebesque measures of the set X = [0,1] . We consider the family of functions such that for any fixed x, y a probability measure P(x, y,.) is absolutely continuous with respect to usual Lebesq...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English English |
| Published: |
Institute of Physics Publishing
2018
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/66206/ http://irep.iium.edu.my/66206/1/66206_Strictly%20non-Volterra%20quadratic%20stochastic.pdf http://irep.iium.edu.my/66206/2/66206_Strictly%20non-Volterra%20quadratic%20stochastic_SCOPUS.pdf http://irep.iium.edu.my/66206/3/66206_Strictly%20non-Volterra%20quadratic%20stochastic_WOS.pdf |
| _version_ | 1848786531015196672 |
|---|---|
| author | Ganikhodjaev, Nasir Jusoo, Siti Hasana |
| author_facet | Ganikhodjaev, Nasir Jusoo, Siti Hasana |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we investigate the dynamics of the Lebesque quadratic stochastic operator on the set of all
Lebesque measures of the set X = [0,1] . We consider the family of functions such that for any fixed x, y a probability
measure P(x, y,.) is absolutely continuous with respect to usual Lebesque measure on X with simple Radon-Nikodym
derivative. We construct the family of strictly non-Volterra quadratic stochastic and show that their dynamic behavior
coincides with dynamic of strictly non-Volterra quadratic stochastic operator on 3-dimensional simplex. |
| first_indexed | 2025-11-14T17:10:31Z |
| format | Article |
| id | iium-66206 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T17:10:31Z |
| publishDate | 2018 |
| publisher | Institute of Physics Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-662062018-12-18T02:20:59Z http://irep.iium.edu.my/66206/ Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex Ganikhodjaev, Nasir Jusoo, Siti Hasana QA Mathematics In this paper, we investigate the dynamics of the Lebesque quadratic stochastic operator on the set of all Lebesque measures of the set X = [0,1] . We consider the family of functions such that for any fixed x, y a probability measure P(x, y,.) is absolutely continuous with respect to usual Lebesque measure on X with simple Radon-Nikodym derivative. We construct the family of strictly non-Volterra quadratic stochastic and show that their dynamic behavior coincides with dynamic of strictly non-Volterra quadratic stochastic operator on 3-dimensional simplex. Institute of Physics Publishing 2018 Article PeerReviewed application/pdf en http://irep.iium.edu.my/66206/1/66206_Strictly%20non-Volterra%20quadratic%20stochastic.pdf application/pdf en http://irep.iium.edu.my/66206/2/66206_Strictly%20non-Volterra%20quadratic%20stochastic_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/66206/3/66206_Strictly%20non-Volterra%20quadratic%20stochastic_WOS.pdf Ganikhodjaev, Nasir and Jusoo, Siti Hasana (2018) Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex. AIP Conference Proceedings, 1974. 030020-1. ISSN 0094-243X https://aip.scitation.org/doi/abs/10.1063/1.5041664?journalCode=apc |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Jusoo, Siti Hasana Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex |
| title | Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex |
| title_full | Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex |
| title_fullStr | Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex |
| title_full_unstemmed | Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex |
| title_short | Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex |
| title_sort | strictly non-volterra quadratic stochastic operator (qso) on 3-dimensional simplex |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/66206/ http://irep.iium.edu.my/66206/ http://irep.iium.edu.my/66206/1/66206_Strictly%20non-Volterra%20quadratic%20stochastic.pdf http://irep.iium.edu.my/66206/2/66206_Strictly%20non-Volterra%20quadratic%20stochastic_SCOPUS.pdf http://irep.iium.edu.my/66206/3/66206_Strictly%20non-Volterra%20quadratic%20stochastic_WOS.pdf |