Step-reinforced random walks and one half

Time：Thur., 16:00-17:00, Mar. 6, 2025

Venue：C548, Shuangqing Complex Building A

Speaker：Shuo Qin

Organizers

吴昊，杨帆，姜建平，顾陈琳

Speaker

Shuo Qin 秦硕

BIMSA

Time

Thur., 16:00-17:00, Mar. 6, 2025

Venue

C548, Shuangqing Complex Building A

Step-reinforced random walks and one half

Under suitable moment assumptions, we show that the step-reinforced random walk exhibits a phase transition between recurrence and transience in dimensions one and two, while remaining transient for all parameters in dimensions three and higher. Moreover, we identify the critical parameter 1/2 which is uniform for step-reinforced random walks in all dimensions.

Speaker's personal website：

https://www.bimsa.cn/zh-CN/detail/ShuoQin.html

DATEMarch 5, 2025

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