报告主题：Minimal position of branching random walks in random environment

报 告 人：张小玥 副教授

报告时间：2024年11月23日（周六）上午9：00-10：00

报告地点：腾讯会议（会议号：802235529）

报告摘要：We consider a branching random walk with a random environment in location, where the particles branch with a fixed law but move as a random walk in random environment. We will give the exact limit value of Mn / n, where Mn denotes the minimal position of the branching random walk at time n. A key step in the proof is to transfer our branching random walks with a random environment in location to branching random walks with a random environment in time, by use of Bramson's “branching processes within a branching process” (1978). For the “critical case” that Mn/n → 0, we give a further estimate to Mn, that is, for almost all environment, Mn/loglogn→C.This talk is primarily based on the works of Zhang, Hou, and Hong (2020) and Zhang, Hong(2024+).

报告人简介：张小玥，首都经济贸易大学统计学院副教授，2019年获“第二十三届京津冀青年概率统计学术会议钟家庆优秀论文奖”。2020年博士毕业于北京师范大学数学科学学院。在Electronic Journal of Probability、Markov Process and Related Fields等期刊发表多篇学术论文,主持国家自然科学基金青年项目一项。