A class of nonergodic lotka–volterra operators
On the basis of some numerical calculations,Ulam has conjectured that the ergodic theorem holds for any quadratic stochastic operator acting on a finite-dimensional simplex. However, Zakharevich showed that Ulam’s conjecture is false in general. Later, Ganikhodzhaev and Zanin generalized Zakharevich...
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Pleiades Publishing
2015
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| Online Access: | http://irep.iium.edu.my/45054/ http://irep.iium.edu.my/45054/ http://irep.iium.edu.my/45054/1/Non_Ergodic_LV_Operator_---_MN.pdf |
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iium-450542018-05-21T05:42:29Z http://irep.iium.edu.my/45054/ A class of nonergodic lotka–volterra operators Saburov, Mansoor QA Mathematics On the basis of some numerical calculations,Ulam has conjectured that the ergodic theorem holds for any quadratic stochastic operator acting on a finite-dimensional simplex. However, Zakharevich showed that Ulam’s conjecture is false in general. Later, Ganikhodzhaev and Zanin generalized Zakharevich’s example to the class of quadratic stochastic Volterra operators acting on a 2D simplex. In this paper, we provide a class of nonergodic Lotka–Volterra operators which includes all previous operators used in this context. Pleiades Publishing 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/45054/1/Non_Ergodic_LV_Operator_---_MN.pdf Saburov, Mansoor (2015) A class of nonergodic lotka–volterra operators. Mathematical Notes, 97 (5). pp. 759-763. ISSN 0001-4346 http://link.springer.com/article/10.1134/S0001434615050107 |
| 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 Saburov, Mansoor A class of nonergodic lotka–volterra operators |
| description |
On the basis of some numerical calculations,Ulam has conjectured that the ergodic theorem holds for any quadratic stochastic operator acting on a finite-dimensional simplex. However, Zakharevich showed that Ulam’s conjecture is false in general. Later, Ganikhodzhaev and Zanin generalized Zakharevich’s example to the class of quadratic stochastic Volterra operators acting on a 2D simplex. In this paper, we provide a class of nonergodic Lotka–Volterra operators which includes all previous operators used in this context. |
| format |
Article |
| author |
Saburov, Mansoor |
| author_facet |
Saburov, Mansoor |
| author_sort |
Saburov, Mansoor |
| title |
A class of nonergodic lotka–volterra operators |
| title_short |
A class of nonergodic lotka–volterra operators |
| title_full |
A class of nonergodic lotka–volterra operators |
| title_fullStr |
A class of nonergodic lotka–volterra operators |
| title_full_unstemmed |
A class of nonergodic lotka–volterra operators |
| title_sort |
class of nonergodic lotka–volterra operators |
| publisher |
Pleiades Publishing |
| publishDate |
2015 |
| url |
http://irep.iium.edu.my/45054/ http://irep.iium.edu.my/45054/ http://irep.iium.edu.my/45054/1/Non_Ergodic_LV_Operator_---_MN.pdf |
| first_indexed |
2023-09-18T21:04:05Z |
| last_indexed |
2023-09-18T21:04:05Z |
| _version_ |
1777410816570556416 |