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Central Limit Theorems for a Super-Diffusion over a Stochastic Flow

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Abstract

Central limit theorems of the occupation time of a superprocess over a stochastic flow are proved. For the critical and higher dimensions d≥4, the limits are Gaussian variables. For d=3, the limit is conditional Gaussian. When the stochastic flow disappears, the results degenerate to those for the ordinary super-Brownian motion.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, The People’s Republic of China

    Mei Zhang

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  1. Mei Zhang
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Correspondence to Mei Zhang.

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Zhang, M. Central Limit Theorems for a Super-Diffusion over a Stochastic Flow. J Theor Probab 24, 294–306 (2011). https://doi.org/10.1007/s10959-009-0261-3

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  • DOI: https://doi.org/10.1007/s10959-009-0261-3

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