On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
We consider systems of "moderately" interacting particles, which are divided into a finite number of different subpopulations, and show that in the limit as the population size tends to infinity the empirical processes of the subpopulations converge to the solution of a system of reaction-...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1989
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| In: |
Probability theory and related fields
Year: 1989, Volume: 82, Issue: 4, Pages: 565-586 |
| ISSN: | 1432-2064 |
| DOI: | 10.1007/BF00341284 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/BF00341284 Verlag, Volltext: https://link.springer.com/article/10.1007/BF00341284 
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| Author Notes: | Karl Oelschläger |
| Summary: | We consider systems of "moderately" interacting particles, which are divided into a finite number of different subpopulations, and show that in the limit as the population size tends to infinity the empirical processes of the subpopulations converge to the solution of a system of reaction-diffusion equations. |
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| Item Description: | Gesehen am 13.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1432-2064 |
| DOI: | 10.1007/BF00341284 |