Ergodicity of p-majorizing quadratic stochastic operators

Saburov, Mansoor (2018) Ergodicity of p-majorizing quadratic stochastic operators. Markov Processes and Related Fields, 24 (1). pp. 131-150. ISSN 1024-2953

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Abstract

A scrambling square stochastic matrix plays an important role in the theory of the classical Markov chain. One of the classical results states that a row-stochastic matrix is strongly ergodic if and only if its some power is a scrambling matrix. In this paper, we deal with the similar problem for a cubic stochastic matrix. We introduce a notion of p-majorizing quadratic stochastic operators and study the strong ergodicity of p-majorizing quadratic stochastic operators associated with scrambling, Sarymsakov, and Wolfowitz cubic stochastic matrices. © 2018 Polymat Ltd. All rights reserved.

Item Type:	Article (Journal)
Additional Information:	6769/64760
Uncontrolled Keywords:	And Wolfowitz cubic stochastic matrix, P-majorizing operator, Quadratic stochastic operator, Sarymsakov, Scrambling, Strong ergodicity,
Subjects:	Q Science > Q Science (General)
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 Mansoor Saburov
Date Deposited:	23 Dec 2018 02:31
Last Modified:	14 Oct 2019 09:22
URI:	http://irep.iium.edu.my/id/eprint/64760

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