| A random walk with a branching system in random environments |
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| 作者单位： | Ying-qiu LI（School of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410076, China） ;
Xu LI（School of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410076, China） ;
Quan-sheng LIU（School of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410076, China;LMAM, University of Bretgne-Sud, BP573, 56017 Vannes, France） ; |
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| 基金项目： | 国家自然科学基金;教育部留学回国人员科研启动基金 |
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| 摘 要： | We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on Z with a random environment (in locations). We obtain the asymptotic properties on the position of the rightmost particle at time n, revealing a phase transition phenomenon of the system.
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| 收稿时间： | 15 December 2005 |
| 修稿时间： | 29 November 2006 |
A random walk with a branching system in random environments |
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| Authors: | Ying-qiu Li Xu Li Quan-sheng Liu |
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| Institution: | 1. School of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410076, China
2. School of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410076, China;LMAM, University of Bretgne-Sud, BP573, 56017 Vannes, France |
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| Abstract: | We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on Z with a random environment (in locations). We obtain the asymptotic properties on the position of the rightmost particle at time n, revealing a phase transition phenomenon of the system. |
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| Keywords: | random walks in random environments branching processes in random environments rightmost particles phase transition large deviation |
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