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A note on Riemann-Liouville processes. (English) Zbl 1434.60246

Summary: In this note, it is proved that under certain conditions, Riemann-Liouville processes can arise from the temporal structures of the functional fluctuation limits of the occupation times of a type of spatial inhomogeneous branching particle system with infinite variances.

MSC:

60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60F17 Functional limit theorems; invariance principles
60G52 Stable stochastic processes
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References:

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