AN ALMOST-SURE RENEWAL THEOREM FOR BRANCHING RANDOM WALKS ON THE LINE

作者：Meiners Matthias^*

来源：Journal of Applied Probability, 2010, 47(3): 811-825.

• Branching random walk
• martingale
• renewal theorem

In the present paper an almost-sure renewal theorem for branching random walks (BRWs) on the real line is formulated and established. The theorem constitutes a generalization of Nerman's theorem on the almost-sure convergence of Malthus normed supercritical Crump-Mode-Jagers branching processes counted with general characteristic and Gatouras' almost-sure renewal theorem for BRWs on a lattice.

• 出版日期2010-9