Notes

Lecture Notes of Teaching Courses

  • 2024秋季 高等数学A (上) 习题课.   PDF  
    Calculus A Recitation Class (Fall 2024)

Course Notes / Seminar Notes

Spring 2024

Winter 2024

  • Some Topics on Homogeneous Dyanmics (based on three minicourses)   PDF  
    • Measure rigidity for diagonalizable actions, taught by Manfred Einsielder.   PDF  
    • Lattices, submanifolds and diophantine approximations, taught by Nicolas de Saxcé.   PDF  
    • Totally geodesic submanifolds and arithmeticity, taught by Manfred Einsiedler.   PDF  

Fall 2023

  • 齐性动力系统讨论班   PDF, updating  
    Homogenous Dynamics Seminar (2023 Fall) — on arithmetic quantum unique ergodicity.
  • 关于实射影平面上极限集的维数 (李嘉伦)   PDF  
    On the Dimension of Limit Sets on RP^2, taught by Jialun Li.

Spring 2023

Summer 2022

  • 转移算子 (胡虎翼,蒋云平)   PDF  
    Transfer Operators, mini courses at Suzhou university, taught by Huyi Hu and Yunping Jiang.

Spring 2022

  • 常微分方程定性理论 (甘少波)   PDF  
    ODE: Qualitative Theory, taught by Shaobo Gan.
  • 和积定理及其应用 (何伟鲲)   PDF  
    Sum Product Theorems and Applications, taught by Weikun He.
  • 具有双曲性的高秩Abel群光滑作用 (许地生)   PDF  
    Higher Rank Abelian Smooth Action with Hyperbolicity, taught by Disheng Xu, at KTH.

Fall 2021

  • 泛函分析II (章志飞)   PDF  
    Functional Analysis II, taught by Zhifei Zhang.

Talk’s Notes / Course Reports

2022

  • Notes on the Tits alternative (course reports of Abstract Algebra)   PDF  
  • Notes on the Dimension of Stationary Measures (talk’s notes)   PDF  
    Focus on Hochman-Solomyak’s work in 2017.

2021

  • Notes on Furstenberg’s theorem (non-commuting random products)   PDF