TY - JOUR
T1 - Slow variation and uniqueness of solutions to the functional equation in the branching random walk
AU - Kyprianou, Andreas E
PY - 1998
Y1 - 1998
N2 - In this short communication, some of the recent results of Liu (1998) and Biggins and Kyprianou (1997), concerning solutions to a certain functional equation associated with the branching random walk, are strengthened. Their importance is emphasized in the context of travelling wave solutions to a discrete version of the KPP equation and the connection with the behaviour of the rightmost particle in the nth generation.
AB - In this short communication, some of the recent results of Liu (1998) and Biggins and Kyprianou (1997), concerning solutions to a certain functional equation associated with the branching random walk, are strengthened. Their importance is emphasized in the context of travelling wave solutions to a discrete version of the KPP equation and the connection with the behaviour of the rightmost particle in the nth generation.
UR - http://dx.doi.org/10.1239/jap/1032438375
U2 - 10.1239/jap/1032438375
DO - 10.1239/jap/1032438375
M3 - Article
VL - 35
SP - 795
EP - 802
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 4
ER -