1. Jinpeng An, Dmitry Kleinbock and Lifan Guan, “Bounded orbits of diagonalizable flows on SL(3, R)/SL(3, Z)”, Int. Math. Res. Not. IMRN 2015 (2015), no. 24, 13623–13652.

2. Lifan Guan and Weisheng Wu, “Bounded orbits of certain diagonalizable flows on SL(n, R)/SL(n, Z)”, Trans. Amer. Math. Soc. 370 (2018), no. 7, 4661–4681.

3. Lifan Guan and Jun Yu, “Weighted badly approximable vectors and games”, Int. Math. Res. Not. IMRN 2019 (2019), no. 3, 810–833.

4. Jinpeng An, Anish Ghosh, Lifan Guan and Tue Ly, “Bounded orbits of diagonalizable flows on finite volume quotients of products of SL(2, R)”, Advances in Math. 354 (2019), article number 106743.

5. Lifan Guan and Ronggang Shi, “Hausdorff dimension of divergent trajectories on homogeneous spaces”, Compositio Math. 156 (2020), no. 2, 340–359.

6. Jinpeng An, Lifan Guan, Antoine Marnat and Ronggang Shi, “Divergent trajectories on products of homogeneous spaces”, Advances in Math. 390 (2021), article number 107910.

7. Victor Beresnevich, Lifan Guan, Antoine Marnat, Felipe Ramírez and Sanju Velani, “Dirichlet is not just bad and singular.”Advances in Math. 401 (2022), Paper No. 108316, 57 pp.