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...

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Main Authors: Ganikhodjaev, Nasir, Jusoo, Siti Hasana
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/
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
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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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Jusoo, Siti Hasana
Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex
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.
format Article
author Ganikhodjaev, Nasir
Jusoo, Siti Hasana
author_facet Ganikhodjaev, Nasir
Jusoo, Siti Hasana
author_sort Ganikhodjaev, Nasir
title 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_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_sort strictly non-volterra quadratic stochastic operator (qso) on 3-dimensional simplex
publisher Institute of Physics Publishing
publishDate 2018
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
first_indexed 2023-09-18T21:33:57Z
last_indexed 2023-09-18T21:33:57Z
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