叶文杰

预印本

1. Large N limit of the Langevin dynamics for the spin O(N) model

   W. Ye, R. Zhu

   Preprint (2025). arXiv

已发表论文

1. Forward-backward stochastic differential equations on tensor fields and a stochastic representation of Navier-Stokes equations on Riemannian manifolds

   X. Chen, A. B. Cruzeiro, W. Ye, Q. Zhang

   Annals of Applied Probability 36 (2), 1519–1561 (2026). arXiv·DOI

2. Stochastic differential equations with local growth singular drifts

   W. Ye

   Journal of Theoretical Probability 37, 2576–2614 (2024). arXiv·DOI

3. Exact controllability of linear mean-field stochastic systems and observability inequality for mean-field backward stochastic differential equations

   W. Ye, Z. Yu

   Asian Journal of Control 24, 237–248 (2022). DOI

4. A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric

   X. Chen, W. Ye

   Statistics & Probability Letters 177, Article 109165 (2021). arXiv·DOI

5. A study of backward stochastic differential equation on a Riemannian manifold

   X. Chen, W. Ye

   Electronic Journal of Probability 26, Paper No. 85, 31 pp. (2021). arXiv·DOI

近期课程

• 2026 年秋季学期

  概率论与数理统计

  概率论与数理统计公共课主要教学内容包括概率论的基本概念，随机变量及其分布，多维随机变量及其分布，随机变量的数字特征，样本及抽样分布，参数估计，假设检验等

• 2026 年春季学期

  数学分析 II

  数学分析 II 是本科生数学基础课，主要内容为积分理论、数项级数、函数项级数、Fourier 分析。

• 2025 年秋季学期

  数学分析 I

  数学分析 I 是本科生数学基础课，主要内容为函数、极限、连续函数、微分学、积分学。

讲座与讲义

• 2024 年 12 月 17 日

  Random Walk

  关于随机游走的讲座讲义。