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Super Brownian motion is known,to occur as the limit of properly rescaled interacting particle systems such as branching random walk, the contact process and the voter model. In this paper we show that certain linearly interacting diff usions converge to super Brownian motion if suitably rescaled in time and space. The results comprise,nearest neighbor interaction as well as long range interaction. partly supported by the DFG program,“Interacting systems of high complexity”

Rescaled interacting diffusions converge to super Brownian motion