Non-regular quadratic stochastic operators with countable state space

Ganikhodjaev, Nasir and Anorov, Obidion and Pah, Chin Hee (2024) Non-regular quadratic stochastic operators with countable state space. Journal of Quality Measurement and Analysis, 20 (1). pp. 15-23. E-ISSN 2600-8602

PDF - Published Version Download (241kB)

Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5826/111713
Uncontrolled Keywords:	ergodic hypothesis, regular transformation, extremal Volterra quadratic stochastic operator with infinite state space
Subjects:	Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	08 Apr 2024 09:52
Last Modified:	08 Apr 2024 09:52
URI:	http://irep.iium.edu.my/id/eprint/111713

Actions (login required)

View Item