Sharp asymptotics of the disconnection time of large cylinders by simple and biased random walks
报告专家：李欣意 研究员（北京大学）
报告时间：2025年4月2日（星期三）下午15:00-16:00
报告地点：四川大学数学学院西202报告厅
报告摘要：We consider the asymptotic disconnection time of a discrete cylinder (Z/NZ)^d x Z, d>=2 by simple and biased (in the Z direction) random walks. For simple random walk, we derive a sharp asymptotic lower bound that matches the upper bound from [A.-S. Sznitman, Ann. Probab., 2009] which allows us to identify the weak limit of the rescaled disconnection time. For the biased walk, we obtain bounds that asymptotically match in the principal order when the bias is not too strong, which greatly improves results from [D. Windisch, Ann. Appl. Probab., 2008]. Based on a joint work with Yu Liu (PKU) and Yuanzheng Wang (MIT), available at arXiv:2409.17900.
专家简介：李欣意于2016年在苏黎世联邦理工学院获得博士学位，师从 Alain-Sol Sznitman教授。他的研究兴趣主要集中在概率论、随机分形和随机几何等方向。部分重要结果发表在Ann. Probab.、Probab. Theory Related Fields、Comm. Math. Phys.等有影响力的期刊上。
邀请人：常寅山
