Glauber dynamics in the continuum via generating functionals evolution
| Autor: | Finkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João |
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| Rok vydání: | 2011 |
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| Zdroj: | Complex Anal. Oper. Theory 6 (4) (2012), 923--945 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11785-011-0170-1 |
| Popis: | We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well. Comment: 24 pages |
| Databáze: | arXiv |
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