SUN Hongyan. A Quenched CLT for Branching Brownian Motion with Random Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(4): 381-398. DOI: 10.3969/j.issn.1001-4268.2018.04.004
Citation:
SUN Hongyan. A Quenched CLT for Branching Brownian Motion with Random Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(4): 381-398. DOI: 10.3969/j.issn.1001-4268.2018.04.004
SUN Hongyan. A Quenched CLT for Branching Brownian Motion with Random Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(4): 381-398. DOI: 10.3969/j.issn.1001-4268.2018.04.004
Citation:
SUN Hongyan. A Quenched CLT for Branching Brownian Motion with Random Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(4): 381-398. DOI: 10.3969/j.issn.1001-4268.2018.04.004
A Quenched CLT for Branching Brownian Motion with Random Immigration
We establish a quenched central limit theorem (CLT) for the branching Brownian motion with random immigration in dimension d\geq4. The limit is a Gaussian random measure, which is the same as the annealed central limit theorem, but the covariance kernel of the limit is different from that in the annealed sense when d=4.