“概率论及相关领域青年学术交流研讨会”是数学院应用数学研究所新开展的一项重要的学术交流举措，拟每隔一周或两周组织一场，旨在搭建交流合作的平台，促进数学院概率论研究学者与院外、国内院校、乃至国际同行之间的学术交流，特别是促进新的研究合作。

学术交流研讨会主要是报告人介绍本人近期的科研进展，互相激发思想，碰撞火花，介绍相关的新方法、新思考。并设有新问题讨论环节(Open Problem Session)，就尚未解决的问题开展讨论攻关。

本系列研讨会将关注概率论研究中的多个前沿课题：大偏差和极限理论、随机游动、随机偏微分方程、随机矩阵、统计物理模型、分枝过程、随机图论、随机数学在生物与金融数学中的应用等。

会议时间：2023 年12 月22 日

会议地点：中国科学院数学与系统科学研究院 南楼 613

会议安排：

 9:00–9:30 注册签到

 9:30-12:00 自由讨论

12:00-14:00 午餐

15:00-16:00 学术报告 (姜建平)

16:00-17:00 学术报告 (李欣意)

 17:00-18:00 Open Question Session

 18:00-19:30 晚餐

报告内容：

  报告人：姜建平 助理教授（清华大学丘成桐数学科学中心）      

  报告题目：Lee-Yang zeros and phase transitions

  报告摘要：In this talk, we present some recent results on the Lee-Yang zeros that arise from partition functions in Ising type models. These include the ferromagnetic and antiferromagnetic Ising models with nearest-neighbor pair interactions. We also discuss relations between the zeros and phase transitions. Based on joint work with Federico Camia, Hou Qi and Charles M. Newman.

 报告人：李欣意 助理教授（北京大学）

 报告题目: The Boosted Loop-Erased Random Walk

报告摘要: We introduce a novel near-critical version of the loop-erased random walk (LERW) by boosting the weight of random walk path according to its length before loop-erasure. We construct the scaling limit in natural parametrization in two and three dimensions and show that the boosted scaling limit undergoes a phase transition and that the boosted scaling limit gradually becomes space-filling as the perturbation parameter tends to infinity. In particular, these results provide some evidence to a conjecture of Makarov-Smirnov on 2D near-critical lattice models. Based on joint works (in progress) with Gefei Cai, Aoteng Xia (Peking), Sarai Hernandez-Torres (UNAM) and Daisuke Shiraishi (Kyoto).

会议资助：数学院基础研究优势团队