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arXiv · 1108.1319

Fluctuation limits of strongly degenerate branching systems

Yuqiang LI
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Abstract

Functional limit theorems for scaled fluctuations of occupation time processes of a sequence of critical branching particle systems in $\R^d$ with anisotropic space motions and strongly degenerated splitting abilities are proved in the cases of critical and intermediate dimensions. The results show that the limit processes are constant measure-valued Wienner processes with degenerated temporal and simple spatial structures.

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Yuqiang LI. 2011-08-05. Fluctuation limits of strongly degenerate branching systems. https://doi.org/10.1007/s11425-011-4279-5

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