Fluctuation limits of strongly degenerate branching systems

Yu Qiang Li

doi:10.1007/s11425-011-4279-5

Fluctuation limits of strongly degenerate branching systems

Yu Qiang Li

School of Statistics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Functional limit theorems for scaled occupation time fluctuations of a sequence of generalized branching particle systems in ℝ^d with anisotropic space motions and strongly degenerated splitting abilities are studied in the cases of critical and intermediate dimensions. The results show that the limit processes are time-independent measure-valued Wiener processes with simple spatial structure.

Original language	English
Pages (from-to)	2669-2682
Number of pages	14
Journal	Science China Mathematics
Volume	54
Issue number	12
DOIs	https://doi.org/10.1007/s11425-011-4279-5
State	Published - Dec 2011

Keywords

branching particle system
functional limit theorem
occupation time fluctuation

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10.1007/s11425-011-4279-5

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abstract = "Functional limit theorems for scaled occupation time fluctuations of a sequence of generalized branching particle systems in ℝd with anisotropic space motions and strongly degenerated splitting abilities are studied in the cases of critical and intermediate dimensions. The results show that the limit processes are time-independent measure-valued Wiener processes with simple spatial structure.",

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AB - Functional limit theorems for scaled occupation time fluctuations of a sequence of generalized branching particle systems in ℝd with anisotropic space motions and strongly degenerated splitting abilities are studied in the cases of critical and intermediate dimensions. The results show that the limit processes are time-independent measure-valued Wiener processes with simple spatial structure.

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Fluctuation limits of strongly degenerate branching systems

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Keywords

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