Fluctuation limits of strongly degenerate branching systems

Details Fluctuation limits of strongly degenerate branching systems Fluctuation limits of strongly degenerate branching systems

2011-08-05

arxiv.org/abs/1108.1319v1

Mathematics

Probability

16 pages

Scientific paper

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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