Statistical dynamics of continuous systems: perturbative and approximative approaches
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 th...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2016
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| Online Access: | http://hdl.handle.net/1721.1/101898 |
| _version_ | 1826198044897443840 |
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| author | Finkelshtein, Dmitri Kondratiev, Yuri Kutovyi, Oleksandr |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Finkelshtein, Dmitri Kondratiev, Yuri Kutovyi, Oleksandr |
| author_sort | Finkelshtein, Dmitri |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:57:59Z |
| format | Article |
| id | mit-1721.1/101898 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:57:59Z |
| publishDate | 2016 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1018982022-09-27T16:15:04Z Statistical dynamics of continuous systems: perturbative and approximative approaches Finkelshtein, Dmitri Kondratiev, Yuri Kutovyi, Oleksandr Massachusetts Institute of Technology. Department of Mathematics Kutovyi, Oleksandr 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. 2016-03-28T19:05:11Z 2016-03-28T19:05:11Z 2014-07 2014-02 Article http://purl.org/eprint/type/JournalArticle 2193-5343 2193-5351 http://hdl.handle.net/1721.1/101898 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. en_US http://dx.doi.org/10.1007/s40065-014-0111-8 Arabian Journal of Mathematics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Finkelshtein, Dmitri Kondratiev, Yuri Kutovyi, Oleksandr Statistical dynamics of continuous systems: perturbative and approximative approaches |
| title | Statistical dynamics of continuous systems: perturbative and approximative approaches |
| title_full | Statistical dynamics of continuous systems: perturbative and approximative approaches |
| title_fullStr | Statistical dynamics of continuous systems: perturbative and approximative approaches |
| title_full_unstemmed | Statistical dynamics of continuous systems: perturbative and approximative approaches |
| title_short | Statistical dynamics of continuous systems: perturbative and approximative approaches |
| title_sort | statistical dynamics of continuous systems perturbative and approximative approaches |
| url | http://hdl.handle.net/1721.1/101898 |
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