On L1-weak ergodicity of nonhomogeneous continuous-time markov processes

Farrukh Mukhamedov

On L₁-weak ergodicity of nonhomogeneous continuous-time markov processes

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Abstract

In the present paper we investigate the L₁-weak ergodicity of nonhomogeneous continuous-time Markov processes with general state spaces. We provide a necessary and sufficient condition for such processes to satisfy the L₁-weak ergodicity. Moreover, we apply the obtained results to establish L₁-weak ergodicity of quadratic stochastic processes.

Original language	English
Pages (from-to)	1227-1242
Number of pages	16
Journal	Bulletin of the Iranian Mathematical Society
Volume	40
Issue number	5
Publication status	Published - Oct 1 2014
Externally published	Yes

Keywords

L-weak ergodicity
Nonhomogeneous Markov process
Quadratic stochastic process
Weak ergodicity

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "On L1-weak ergodicity of nonhomogeneous continuous-time markov processes",

abstract = "In the present paper we investigate the L1-weak ergodicity of nonhomogeneous continuous-time Markov processes with general state spaces. We provide a necessary and sufficient condition for such processes to satisfy the L1-weak ergodicity. Moreover, we apply the obtained results to establish L1-weak ergodicity of quadratic stochastic processes.",

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T1 - On L1-weak ergodicity of nonhomogeneous continuous-time markov processes

AU - Mukhamedov, Farrukh

PY - 2014/10/1

Y1 - 2014/10/1

N2 - In the present paper we investigate the L1-weak ergodicity of nonhomogeneous continuous-time Markov processes with general state spaces. We provide a necessary and sufficient condition for such processes to satisfy the L1-weak ergodicity. Moreover, we apply the obtained results to establish L1-weak ergodicity of quadratic stochastic processes.

AB - In the present paper we investigate the L1-weak ergodicity of nonhomogeneous continuous-time Markov processes with general state spaces. We provide a necessary and sufficient condition for such processes to satisfy the L1-weak ergodicity. Moreover, we apply the obtained results to establish L1-weak ergodicity of quadratic stochastic processes.

KW - L-weak ergodicity

KW - Nonhomogeneous Markov process

KW - Quadratic stochastic process

KW - Weak ergodicity

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M3 - Article

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JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 5

ER -

On L₁-weak ergodicity of nonhomogeneous continuous-time markov processes

Abstract

Keywords

ASJC Scopus subject areas

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