Seminar| Institute of Mathematical Sciences
Time: Tuesday, April 15th, 2025,14:00-15:00
Location: IMS, RS506
Speaker:Xinyi Li, Peking University
Abstract: 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.q