报告人:朱洁祥(上海师范大学)
报告时间:2025年3月28日 星期五 上午 10:00-11:00
报告地点:广知楼 A201
报告摘要:Let α be an irrational number and let Sn be a random walk on Z. Consider the random walk {Sn α} on the torus, where {·} denotes the fractional part. We study the long time asymptotic behavior of the associated empirical measures in the framework of Lp-Wasserstein distance. The proof is based on the PDE approach developed by L. Ambrosio et al. and the continued fraction representation of the irrational number α. This talk is based on a joint work with Bingyao Wu.
报告人简介:
朱洁祥,复旦大学上海数学中心博士,天津大学应用数学中心博士后,现任上海师范大学讲师。研究方向为调和分析与概率论,包括经验测度的收敛速度问题,研究成果发表在J. Geom. Anal.、Ann. Inst. Henri Poincaré Probab. Stat.、Stochastic Process. Appl.等杂志上。