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.
