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On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
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  • Published: August 1989

On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes

  • Karl Oelschläger1 

Probability Theory and Related Fields volume 82, pages 565–586 (1989)Cite this article

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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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Author information

Authors and Affiliations

  1. Sonderforschungsbereich 123, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900, Heidelberg, Federal Republic of Germany

    Karl Oelschläger

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  1. Karl Oelschläger
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Additional information

This work has been supported by the Deutsche Forschungsgemeinschaft

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Cite this article

Oelschläger, K. On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes. Probab. Th. Rel. Fields 82, 565–586 (1989). https://doi.org/10.1007/BF00341284

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  • Received: 23 July 1986

  • Revised: 16 March 1989

  • Issue Date: August 1989

  • DOI: https://doi.org/10.1007/BF00341284

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Keywords

  • Population Size
  • Stochastic Process
  • Probability Theory
  • Finite Number
  • Statistical Theory
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