时间:2019年07月08日(星期一)10:30-11:30
地点:沙河校区,主教楼401
报告题目: Large deviation principle for themaximal positions in critical branching random walks with small drifts
报告人:孙鸿雁,中国地质大学(北京)数理学院,副教授
报告摘要:We consider critical branching random walks V(n),n≥1 on Z+. For fixed n,the displacement of an offspring from its parent is given by a nearest randomwalk with drift 2β∕nα towards the origin and reflectedat the origin. For any κ>2α, let M[nκ](n) denote the rightmost position ofthe particles in [nκ]-th generation. We prove that, conditioned on survival togeneration [nκ], M[nκ](n) satisfies a large deviation principle.
报告人简介:孙鸿雁,中国地质大学(北京)数理学院副教授,2013年博士毕业于北京师范大学概率论与数理统计专业,研究兴趣:分枝随机游动,分枝布朗运动。
本次活动受威尼斯wns8855662019专题学术讲座项目资助。