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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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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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