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A Quenched CLT for Super-Brownian Motion with Random Immigration

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Abstract

A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension d≥4. At the critical dimension d=4, the quenched and annealed fluctuations are of the same order but are not equal.

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Authors and Affiliations

  1. School of Mathematical Science, Beijing Normal University, Beijing, 100875, People’s Republic of China

    Wenming Hong

  2. Department of Mathematics, University of Minnesota, Minneapolis, USA

    Ofer Zeitouni

  3. Depts. of EE and Math., Technion, Haifa, Israel

    Ofer Zeitouni

Authors
  1. Wenming Hong
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  2. Ofer Zeitouni
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Corresponding author

Correspondence to Ofer Zeitouni.

Additional information

W. Hong was supported by the Program for New Century Excellent Talents in University (NCET) and NSFC (Grant No. 10121101).

O. Zeitouni was partially supported by NSF grant DMS-0503775.

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Hong, W., Zeitouni, O. A Quenched CLT for Super-Brownian Motion with Random Immigration. J Theor Probab 20, 807–820 (2007). https://doi.org/10.1007/s10959-007-0079-9

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  • DOI: https://doi.org/10.1007/s10959-007-0079-9

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