Publications
- “Riemannian Anosov extension and applications” (with Alena Erchenko and Andrey Gogolev),
Journal de l’École polytechnique – Mathématiques, Volume 10 (2023), 945-987. - “Flexibility of sections of nearly integrable Hamiltonian systems” (with Dmitri Burago and Sergei Ivanov),
Communications in Contemporary Mathematics, 25 (2023), no. 4, Paper No. 2250028. - “Finsler perturbation with non-dense geodesics with irrational directions” (with Dmitri Burago),
Asian Journal of Mathematics, 25 (2021), no. 5, 715-726. - “Properties of equilibrium states for geodesic flows without focal points” (with Lien-Yung Kao and Kiho Park),
Advances in Mathematics, 380 (2021), 107564. - “Unique equilibrium states for geodesic flows over surfaces without focal points” (with Lien-Yung Kao and Kiho Park),
Nonlinearity, 33 (2020), no. 3, 1118-1155. - “On total flexibility of local structures of Finsler tori without conjugate points”,
Journal of Topology and Analysis, Vol. 11 (2019), No. 02, 349-355. - “Positive metric entropy arises in some nondegenerate nearly integrable systems”,
Journal of Modern Dynamics, Vol. 11 (2017), 43-56. - “On the C∞ closing lemma for Hamiltonian flows on symplectic 4-manifolds”, under review.
- “A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature” (with Keith Burns), under review.
- “Pressure gaps, geometric potentials, and nonpositively curved manifolds” (with Lien-Yung Kao and Kiho Park), under review.
- “Elementary Introduction to Modern Geometry” (joint with Dmitri Burago and Yuri Burago), an invited book designed to be a text for researchers, graduate students and advanced undergraduate students studying modern geometry. In preparation.