Uniform ergodicity of nonlinear Markov operators: Dobrushin’s ergodicity coefficient for hypermatrices

Saburov, Mansoor (2016) Uniform ergodicity of nonlinear Markov operators: Dobrushin’s ergodicity coefficient for hypermatrices. Doklady Uzbek Academy of Science, 2. pp. 5-7.

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Abstract

Dobrushin's ergodicity coefficient for a stochastic matrix characterizes the contraction rate of a linear Markov operator acting on a space of probability distributions equipped with the total variation norm. In this paper, we introduce Dobrushin's ergodicity coefficient for a stochastic hypermatrix which enables to provide a sufficient condition for the uniform ergodicity of nonlinear Markov operators defined by stochastic hypermatrices.

Item Type:	Article (Journal)
Additional Information:	6769/52114
Uncontrolled Keywords:	Uniform ergodicity, nonlinear Markov operators
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 Mansoor Saburov
Date Deposited:	07 Oct 2016 09:47
Last Modified:	23 May 2018 10:16
URI:	http://irep.iium.edu.my/id/eprint/52114

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