Statistical dynamics of continuous systems: perturbative and approximative approaches
Name
Finkelshtein-2015-Statistical dynamics.pdf
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1.08 MB
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Author(s)
Finkelshtein, Dmitri
Kondratiev, Yuri
Kutovyi, Oleksandr
Date Issued
July 2014
Journal
Arabian Journal of Mathematics
Publisher
Springer-Verlag
Citation
Finkelshtein, Dmitri, Yuri Kondratiev, and Oleksandr Kutoviy. “Statistical Dynamics of Continuous Systems: Perturbative and Approximative Approaches.” Arab. J. Math. 4, no. 4 (July 30, 2014): 255–300.
Version
Final published version
Abstract
We discuss general concept of Markov statistical dynamics in the continuum. For a class of spatial birth-and-death models, we develop a perturbative technique for the construction of statistical dynamics. Particular examples of such systems are considered. For the case of Glauber type dynamics in the continuum we describe a Markov chain approximation approach that gives more detailed information about statistical evolution in this model.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s40065-014-0111-8
