Sharp asymptotics of the disconnection time of large cylinders by simple and biased random walks-成人直播

报告题目:

Sharp asymptotics of the disconnection time of large cylinders by simple and biased random walks

报告人:

李欣意研究员(北京大学)

报告时间:

报告地点:

成人直播雷军科技楼601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.

报告人简介：李欣意，北京大学北京国际数学研究中心助理教授、研究员。于2016年在苏黎世联邦理工学院获得博士学位，师从Alain-Sol Sznitmnan教授。其研究兴趣主要集中在概率论、随机分形和随机几何等方向。部分结果发表在Ann. Probab.、 Probab. Theory Related Fields、Comm. Math.Phys.等杂志上。