报告人：肖惠 副研究员
报告题目：Local limit theorems for products of random matrices
报告时间：2026年10月24日（周六）上午9：00
报告地点：云龙校区智华楼201报告厅
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
肖惠，中国科学院数学与系统科学研究院副研究员。研究方向为概率论，主要包括随机矩阵乘积的极限理论、群上的分枝随机游动等。相关论文发表在J.Eur. Math.Soc., Ann.Probab., Probab. Theory Relat. Fields, Ergodic Theory Dynam. Systems, Ann.Inst.Henri Poincaré Probab. Stat., Electron. J. Probab., Stochastic Process. Appl., J.Diffcrential Equations, Sci. China Math.等
报告摘要：
In this talk, we present recent progress on conditioned local limit theorems for the norm cocycle associated with products of random matrices. A key step in the proof is the construction of an appropriate target harmonic measure, which plays a fundamental role in the formulation of the conditioned local limit theorem. The main difficulty arises from the analysis of the reversed process, whose dynamics depend on the entire future trajectory and therefore exhibit a non-Markovian feature.
