Non-regular quadratic stochastic operators with countable state space

In this paper we present an example of non-regular extremal Volterra quadratic stochastic operator defined on infinite-dimensional simplex. We show that the construction of this operator to odd dimensional face of infinite-dimensional simplex is non-regular transformation. We employ method of approx...

Full description

Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Anorov, Obidion, Chin, Hee Pah
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2024
Online Access:http://journalarticle.ukm.my/23618/
http://journalarticle.ukm.my/23618/1/Paper_2%20-.pdf
_version_ 1848815893525561344
author Ganikhodjaev, Nasir
Anorov, Obidion
Chin, Hee Pah
author_facet Ganikhodjaev, Nasir
Anorov, Obidion
Chin, Hee Pah
author_sort Ganikhodjaev, Nasir
building UKM Institutional Repository
collection Online Access
description In this paper we present an example of non-regular extremal Volterra quadratic stochastic operator defined on infinite-dimensional simplex. We show that the construction of this operator to odd dimensional face of infinite-dimensional simplex is non-regular transformation. We employ method of approximation to prove non-regularity of initial operator.
first_indexed 2025-11-15T00:57:13Z
format Article
id oai:generic.eprints.org:23618
institution Universiti Kebangasaan Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T00:57:13Z
publishDate 2024
publisher Penerbit Universiti Kebangsaan Malaysia
recordtype eprints
repository_type Digital Repository
spelling oai:generic.eprints.org:236182024-06-10T01:24:24Z http://journalarticle.ukm.my/23618/ Non-regular quadratic stochastic operators with countable state space Ganikhodjaev, Nasir Anorov, Obidion Chin, Hee Pah In this paper we present an example of non-regular extremal Volterra quadratic stochastic operator defined on infinite-dimensional simplex. We show that the construction of this operator to odd dimensional face of infinite-dimensional simplex is non-regular transformation. We employ method of approximation to prove non-regularity of initial operator. Penerbit Universiti Kebangsaan Malaysia 2024-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/23618/1/Paper_2%20-.pdf Ganikhodjaev, Nasir and Anorov, Obidion and Chin, Hee Pah (2024) Non-regular quadratic stochastic operators with countable state space. Journal of Quality Measurement and Analysis, 20 (1). pp. 15-23. ISSN 2600-8602 http://www.ukm.my/jqma
spellingShingle Ganikhodjaev, Nasir
Anorov, Obidion
Chin, Hee Pah
Non-regular quadratic stochastic operators with countable state space
title Non-regular quadratic stochastic operators with countable state space
title_full Non-regular quadratic stochastic operators with countable state space
title_fullStr Non-regular quadratic stochastic operators with countable state space
title_full_unstemmed Non-regular quadratic stochastic operators with countable state space
title_short Non-regular quadratic stochastic operators with countable state space
title_sort non-regular quadratic stochastic operators with countable state space
url http://journalarticle.ukm.my/23618/
http://journalarticle.ukm.my/23618/
http://journalarticle.ukm.my/23618/1/Paper_2%20-.pdf