Fluctuation limits of site-dependent branching systems in critical and large dimensions |
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Authors: | Yuqiang Li |
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Institution: | School of Finance and Statistics, East China Normal University, Shanghai 200241, PR China |
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Abstract: | In this paper, some limit processes of occupation time fluctuations of the branching particle systems with varied branching laws from site to site are obtained. The results show that the varied branching laws can not affect the limit processes and the scaling parameters in the case of large dimensions, but in the case of critical dimensions, under suitable assumptions, it changes the limit processes with simple and isotropic spatial structures to those with complicated and anisotropic spatial structures and gives log corrections in the scaling parameters. |
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Keywords: | 60F17 60J80 |
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