Abstract
The general model of coagulation is considered. For basic classes of unbounded coagulation kernels the central limit theorem (CLT) is obtained for the fluctuations around the dynamic law of large numbers (LLN) described by the Smoluchovski equation. A rather precise rate of convergence is given both for LLN and CLT.
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arXiv:0708.0329v1[math.PR], the results were presented on the Obervolfach conference (September 2007).
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Kolokoltsov, V.N. The central limit theorem for the Smoluchovski coagulation model. Probab. Theory Relat. Fields 146, 87 (2010). https://doi.org/10.1007/s00440-008-0186-2
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DOI: https://doi.org/10.1007/s00440-008-0186-2
Mathematics Subject Classification (2000)
- 82C22
- 60F17
- 60J75