Markov Evolutions and Hierarchical Equations in the Continuum. II: Multicomponent Systems

General birth-and-death as well as hopping stochastic dynamics of infinite multicomponent particle systems in the continuum are considered. We derive the corresponding evolution equations for quasi-observables and correlation functions. We also present sufficient conditions that allow us to consider...

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Published inReports on mathematical physics Vol. 71; no. 1; pp. 123 - 148
Main Authors Finkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2013
Subjects
Banach space
birth-and-death process
configuration spaces
continuous system
Continuums
Correlation
Dynamical systems
Dynamics
Evolution
Hopping particles
Markov generator
Markov process
Markov processes
Mathematical analysis
stochastic dynamics
Markov process
Markov generator
configuration spaces
continuous system
birth-and-death process
Hopping particles
stochastic dynamics
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Summary:General birth-and-death as well as hopping stochastic dynamics of infinite multicomponent particle systems in the continuum are considered. We derive the corresponding evolution equations for quasi-observables and correlation functions. We also present sufficient conditions that allow us to consider these equations on suitable Banach spaces.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(13)60024-5