A central limit theorem for super-Brownian motion with super-Brownian immigration
1999 ◽
Vol 36
(04)
◽
pp. 1218-1224
◽
Keyword(s):
We prove a central limit theorem for the super-Brownian motion with immigration governed by another super-Brownian. The limit theorem leads to Gaussian random fields in dimensions d ≥ 3. For d = 3 the field is spatially uniform; for d ≥ 5 its covariance is given by the potential operator of the underlying Brownian motion; and for d = 4 it involves a mixture of the two kinds of fluctuations.
1999 ◽
Vol 36
(4)
◽
pp. 1218-1224
◽
2005 ◽
Vol 18
(3)
◽
pp. 665-685
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2002 ◽
Vol 39
(04)
◽
pp. 829-838
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2015 ◽
Vol 52
(3)
◽
pp. 786-796
◽
2015 ◽
Vol 52
(03)
◽
pp. 786-796
◽
2016 ◽
Vol 46
(8)
◽
pp. 3667-3675
Keyword(s):
Keyword(s):