Xianghui Shi

Xianghui Shi

Contact information

About me

I’m a PhD candidate at Beijing International Center for Mathematical Research (BICMR) at Peking University under the supervision of Professor Zhiqiang Li.

I received a BS in Mathematics from the Peking University in 2021.

Here is my CV.

Research interests: Dynamical Systems, Complex Dynamics, Ergodic Theory, Thermodynamic Formalism, Statistical Properties

Publications and Preprints

  • X. Shi, A characterization of planar quasisymmetric embeddability of rectangular carpets. In preparation.

  • Jie Yan†, Maolin Wang†, Junzhong Xie†, Yapeng Zhao†, Xianghui Shi†, Yuxiong Hu, Shixiang Yu, Xingwu Liu, Chaowu Xue, Shuheng Tian, Yaxuan Wang, Zijun Peng, Wu Zhou, Hiroyuki Asakura, Meng Wang, Zhiqiang Li*, Zhu–Jun Wang*, Ding Ma*, Reactive Oxygen Pool over Ceria Enables Catalytic Oscillation. In preparation.

  • X. Shi (with Zhiqiang Li), Statistics of prime orbits for expanding Thurston maps. In preparation.

  • X. Shi (with Ilia Binder, Qiandu He, Zhiqiang Li), Computable thermodynamic formalism. Submitted. 39 pages. (PDF)

  • X. Shi (with Zhiqiang Li), Entropy density and large deviation principles without upper semi-continuity of entropy. Submitted, (arXiv:2406.01712). 55 pages. (PDF)

  • X. Shi (with Zhiqiang Li), Thermodynamic formalism for subsystems of expanding Thurston maps II. Submitted, (arXiv:2404.07247). 43 pages. (PDF)

  • X. Shi (with Zhiqiang Li, Yiwei Zhang), Thermodynamic formalism for subsystems of expanding Thurston maps and large deviations asymptotics. Proc. Lond. Math. Soc. (3) 130, 2025, e70019. 77 pages. (PDF)