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The central limit theorem for the Smoluchovski coagulation model
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  • Published: 08 November 2008

The central limit theorem for the Smoluchovski coagulation model

  • Vassili N. Kolokoltsov1 

Probability Theory and Related Fields volume 146, Article number: 87 (2010) Cite this article

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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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Authors and Affiliations

  1. Department of Statistics, University of Warwick, Coventry, CV 47AL, UK

    Vassili N. Kolokoltsov

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  1. Vassili N. Kolokoltsov
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Correspondence to Vassili N. Kolokoltsov.

Additional information

arXiv:0708.0329v1[math.PR], the results were presented on the Obervolfach conference (September 2007).

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Cite this article

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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  • Received: 09 October 2007

  • Revised: 23 September 2008

  • Published: 08 November 2008

  • DOI: https://doi.org/10.1007/s00440-008-0186-2

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Mathematics Subject Classification (2000)

  • 82C22
  • 60F17
  • 60J75
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