TY - JOUR
T1 - Weak convergence for the minimal position in a branching random walk: A simple proof
AU - Aidekon, E.F.
AU - Shi, Z.
PY - 2010
Y1 - 2010
N2 - Consider the boundary case in a one-dimensional super-critical branching random walk. It is known that upon the survival of the system, the minimal position after n steps behaves in probability like log n when n ¿ 8. We give a simple and self-contained proof of this result, based exclusively on elementary properties of sums of i.i.d. real-valued random variables.
AB - Consider the boundary case in a one-dimensional super-critical branching random walk. It is known that upon the survival of the system, the minimal position after n steps behaves in probability like log n when n ¿ 8. We give a simple and self-contained proof of this result, based exclusively on elementary properties of sums of i.i.d. real-valued random variables.
U2 - 10.1007/s10998-010-3043-x
DO - 10.1007/s10998-010-3043-x
M3 - Article
VL - 61
SP - 43
EP - 54
JO - Periodica Mathematica Hungarica
JF - Periodica Mathematica Hungarica
SN - 0031-5303
IS - 1-2
ER -