研究领域：复动力系统与函数论

• 复动力系统研究复解析函数(如多项式、有理函数、超越整函数、超越亚纯函数等)在复平面(或黎曼球面)上的迭代行为。既可以研究初值在函数迭代作用下的行为表现(如初值的轨道是否收敛等)，也可以研究函数对于参数的依赖性(如结构稳定性等)。复动力系统与遍历论、分形几何、复几何等密切相关。目前主要涉及Julia 集及相关集合的分形维数估计、函数的扰动等。

• 我的另外一个研究兴趣为函数论。主要涉及解析函数的构造方面，如利用树形结构或图等方式构造解析函数(即组合结构是否足够决定解析结构?)。

论文 (相关论文请参阅: arXiv 与 MathSciNet)

1. Collet-Eckmann maps in the unicritical family (with Magnus Aspenberg and Mats Bylund).

   arXiv:2402.19256, 2024.

2. Ergodic exponential maps with escaping singular behaviours (with Jun Wang).

   Bulletin of the London Mathematical Society 57 (2025), no. 12, 3991–3999. arXiv:2308.10565

3. Speiser meets Misiurewicz (with Magnus Aspenberg).

   Communications in Mathematical Physics, 405 (2024), no. 2, Paper no. 55. arXiv:2209.00385

4. Slowly recurrent Collet-Eckmann maps with non-empty Fatou set (with Magnus Aspenberg and  Mats Bylund).

   Proceedings of the London Mathematical Society (3) 128 (2024), no. 1, Paper No. e12574, 32 pp. arXiv:2207.14046

5. Perturbations of exponential maps: Non-recurrent dynamics (with Magnus Aspenberg).

   Journal d’Analyse Mathématique 153 (2024), no. 2, 759–775. arXiv:2206.11093

6. The Hausdorff dimension of escaping sets of meromorphic functions in the Speiser class (with Walter Bergweiler).

   International Mathematics Research Notices 2024, no. 9, 7281–7306. arXiv:2209.06270

7. Hausdorff dimension of escaping sets of meromorphic functions II (with Magnus Aspenberg).
   

   Ergodic Theory and Dynamical Systems 43 (2023), no. 5, 1471–1491. arXiv:2011.08267  Page view

8. The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class (with Walter Bergweiler).

   Mathematische Zeitschrift 302 (2022), no. 4, 2193–2205. arXiv:2105.00938  Page view

9. Totally ramified rational maps (with Jun Hu).

   Conformal Geometry and Dynamics 26 (2022), 208–234. Page view

10. Hausdorff dimension of escaping sets of meromorphic functions (with Magnus Aspenberg).

    Transactions of the American Mathematical Society 374 (2021), no. 9, 6145–6178. arXiv:2004.11283

11. Siegel disks of the tangent family (with Hongming Nie).

    Annales Fennici Mathematici  46 (2021), no. 1, 593–600. arXiv:1906.06802

12. Hausdorff dimension of escaping sets of Nevanlinna functions.

    International Mathematics Research Notices 2021, no.15, 11767–11781. arXiv:1901.02583

13. Entire functions arising from trees.

    Science China Mathematics 64 (2021), no. 10, 2231–2248. arXiv:1803.00963

14. Lebesgue measure of escaping sets of entire functions.

    Ergodic Theory and Dynamical Systems 40 (2020), no. 1, 89–116. arXiv:1608.04600.