A Quenched CLT for Super-Brownian Motion with Random Immigration |
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| Authors: | Wenming Hong Ofer Zeitouni |
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| Institution: | (1) School of Mathematical Science, Beijing Normal University, Beijing, 100875, People’s Republic of China;(2) Department of Mathematics, University of Minnesota, Minneapolis, USA;(3) Depts. of EE and Math., Technion, Haifa, Israel |
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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.
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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| Keywords: | Super-Brownian motion Quenched central limit theorem Random immigration |
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