Recurrence and Transience of Multidimensional Elephant Random Walks
报告人：秦硕（北京雁栖湖应用数学研究院）
时间：2024-11-11 14:00-15:00
地点：智华楼-王选报告厅
Abstract: We prove a conjecture by Bertoin that the multidimensional elephant random walk on Z^d is transient in dimensions d ≥ 3. We show that it undergoes a phase transition in dimensions d = 1, 2 between recurrence and transience at p = (2d + 1)/(4d). We also generalize these results to the step-reinforced random walk under mild moments conditions.
