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Biggins, J.D. (1979) Growth rates in the branching random walk. Z. Wahrsch. Verw. Gebiete. 48, 17-34.

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Branching Processes - Athreya, Vidyashankar (1999)   (113 citations)  (Correct)

....functionals that have received much attention were L n = inffz r;n : 1 r jZ (n) jg and U n = supfz r;n : 1 r jZ (n) jg: The behavior of L n and U n has been investigated in Biggins [27] 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 ....

Biggins,J.D.(1979): Growth rates in the branching random walk, Z. Wahrsch. Verw. Gebiete, 48, No.1 17-34.


Lindley-Type Equations in the Branching Random Walk - Biggins   Self-citation (Biggins)   (Correct)

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Biggins, J.D. (1979). Growth rates in the branching random walk. Z. Wahrsch. verw. Geb. 48, 17--34.


Markov branching diffusions: martingales, Girsanov type.. - Engländer, Kyprianou (2001)   (Correct)

No context found.

Biggins, J.D. (1979) Growth rates in the branching random walk. Z. Wahrsch. Verw. Gebiete. 48, 17-34.

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