Ergodic properties of non-homogeneous Markov chains on ordered Banach spaces

Mukhamedov, Farrukh (2014) Ergodic properties of non-homogeneous Markov chains on ordered Banach spaces. In: International Congress of Mathematicians (SEOUL ICM 2014), 13-21 Aug. 2014, Seoul, Korea.

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Abstract

In the present work, we define such an ergodicity coefficient of a positive mapping defined on ordered Banach space with a base (OBSB), and study its properties. In terms of this coefficient we prove the equivalence uniform and weak ergodicities of homogeneous Markov chains.

Item Type:	Conference or Workshop Item (Lecture)
Additional Information:	5537/38027
Uncontrolled Keywords:	Coefficient of ergodicity, weak ergodicity, L1-weak ergodicity, nonhomogeneous Markov chain, norm ordered space, Doeblin’s condition
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	10 Sep 2014 10:28
Last Modified:	19 Jun 2018 12:33
URI:	http://irep.iium.edu.my/id/eprint/38027

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