| Bramson, M., Ney, P. and Tao, J. (1992). The population composition of multitype branching random walk. Ann. Appl. Probab. 2, 575--596. 34 |
....The other functional of interest is Z (n) nA) #fz r;n jz r;n 2 nAg as n 1. Biggins (see [29] has shown that Z (n) nA) scaled by its expectation converges to a non trivial limit as n 1. Extensions of the above result to multitype BRW has been carried out by Bramson, Ney, and Tao (see [32]) and to BRW in random environments by Vidyashankar (see [60] Large deviations for branching Markov chains with discrete and general state spaces have been investigated in Athreya and Kang ( 17] 18] ....
Bramson,M., Ney,P., and Tao,J.(1992): The population composition of a multitype branching random walk, Annals of Applied Probability, No. 3, 575-596.
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Bramson, M., Ney, P. and Tao, J. (1992). The population composition of multitype branching random walk. Ann. Appl. Probab. 2, 575--596. 34
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