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Scaling limits for random fields with long-range dependence. (English) Zbl 1134.60027
The paper studies the possible limits of a spatial random field generated by uniformly scattered random sets, as the density $$\lambda$$ of the sets grows to infinity and the mean volume $$\rho$$ of the sets tends to zero. It is shown that the centrated and renormalized random field can have three different limits, depending on the relative speed at which $$\lambda$$ and $$\rho$$ are scaled.

##### MSC:
 60F17 Functional limit theorems; invariance principles 60G60 Random fields 60G18 Self-similar stochastic processes
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##### References:
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