位置:成果数据库 > 期刊 > 期刊详情页
Branching random walks with random environments in time
  • 期刊名称:Front. Math. China
  • 时间:2014.4.1
  • 页码:835-842
  • 分类:O211.62[理学—概率论与数理统计;理学—数学] O412.1[理学—理论物理;理学—物理]
  • 作者机构:[1]Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, China, [2]School of Science, Beijing Technology and Business University, Beijing 100048, China, [3]College of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410004, China, [4]Universite de Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes,France
  • 相关基金:Acknowledgements The authors would like to thank the anonymous referees for valuable comments and remarks. This work was partially supported by the Natural Scientific Research Innovation Foundation in Harbin Institute of Technology (HIT. NSRIF. 2015102), the National Natural Science Foundation of China (Grant Nos. 11171044, 11101039), and by the Natural Science Foundation of Hunan Province (Grant No. 11JJ2001).
  • 相关项目:随机环境中随机游动与分枝系统
中文摘要:

我们考虑分叉的随机的散步在上与随机的环境及时(表示了由) 。让 Z < 潜水艇 class= “ a-plus-plus ” > n 产生 n 的粒子的数的措施,和 let\(\tilde Z_n (t)\) 是它的 Laplace 变换。我们显示出免费精力 n 的集中<啜class=“ a-plus-plus ”> 1 log\( \tilde Z_n (t)\),大偏差原则,并且为措施的顺序的中央限制定理{ Z <潜水艇class=“ a-plus-plus ”>为martingale\的限制的时刻的存在的 n },和一个必要、足够的条件( \tilde Z_n (t) /\mathbb { E }[ \tilde Z_n (t)| \xi ]\)。

英文摘要:

We consider a branching random walk on N with a random environment in time (denoted by ξ). Let Zn be the counting measure of particles of generation n, and let Zn(t) be its Laplace transform. We show the convergence of the free energy n-llog Zn(t), large deviation principles, and central limit theorems for the sequence of measures {Zn}, and a necessary and sufficient condition for the existence of moments of the limit of the martingale Zn(t)/E[Zn(t)ξ].

同期刊论文项目
期刊论文 67 会议论文 4 获奖 4
同项目期刊论文