研究方向/Research area

拓扑动力系统和遍历理论。主要关注的问题有动力系统的回复性和复杂性，熵与平均维数，符号动力系统，连分数与丢番图逼近，幂零系统。同时也对齐性空间上的动力系统，分形几何，动力系统在其它学科中的应用感兴趣。

论文/Publications

1. Siming Tu and Xiangdong Ye, Dynamical Parallelepipeds in Minimal Systems, Journal of Dynamics and Differential Equations 25 (2013), Issue 3, 765-776.

2. Siming Tu, Nil Bohr_0-sets and Polynomial Recurrence, Journal of Mathematical Analysis and Applications, 409 (2014), no. 2, 890-898.

3. Jian Li and Siming Tu, On Proximality with Banach Density One, Journal of Mathematical Analysis and Applications, 416 (2014), no. 1, 36-51. arXiv:1312.4668

4. Jian Li, Siming Tu and Xiangdong Ye, Mean Equicontinuity and Mean Sensitivity, Ergodic Theory and Dynamical Systems, 35 (2015), Issue 8, 2587-2612. arXiv:1312.7663

5. Jian Li, Jie Li and Siming Tu, Devaney Chaos Plus Shadowing Implies Distributional Chaos, Chaos 26, 093103 (2016). arXiv:1609.03168

6. Lei Jin and Siming Tu, A new universal real flow of the Hilbert-cubical type, Dynamical Systems：An International Journal 34 (2019), Issue 2, 234-238. arXiv:1809.02041

7. Jie Li and Siming Tu, Density-equicontinuity and density-sensitivity, Acta Mathematica Sinica, English Series,  37 (2021), 345–361.

8. Jie Li and Siming Tu, Dynamical intricacy and average sample complexity of amenable group actions, Science China Mathematics,  65 (2022), 1247–1266.

9. Lei jin, Yixiao Qiao and Siming Tu, Mean dimension of Bernstein spaces and universal real flows, Nonlinearity, 35 (2022) 5373–5395. arXiv: 2108.06315

10. Jie Li, Chunlin Liu, Siming Tu and Tao Yu, Sequence entropy tuples and mean sensitive tuples, Ergodic Theory and Dynamical Systems, 44 (2024), Issue 1, 184-203. arXiv:2210.16749