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 -