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Article . 2014
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On Long-Term Behavior of Continuous-Time Markov Branching Processes Allowing Immigration

On long-term behavior of continuous-time Markov branching processes allowing immigration
Authors: Imomov, Azam A.;

On Long-Term Behavior of Continuous-Time Markov Branching Processes Allowing Immigration

Abstract

Summary: We observe the continuous-time Markov Branching Process allowing Immigration. Limit properties of transition functions and their convergence to invariant measures are investigated. A speed of this convergence is defined.

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Keywords

Markov branching process, invariant measures, иммиграция, Markov Branching Process, марковский ветвящийся процесс, Transition functions, generators and resolvents, переходные вероятности, Branching processes (Galton-Watson, birth-and-death, etc.), transition functions, инвариантные меры, скорость сходимости к инвариантным мерам, Continuous-time Markov processes on discrete state spaces, immigration, rate of convergence

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
gold