Preprint:

· M. Leguil, J. You, Z. Zhao and Q. Zhou: Asymptotics of spectral gaps of quasi-periodic Schrödinger operators. arXiv:1712.04700

· L. Stolovitch and Z. Zhao: Local rigidity of actions of isometries on compact real analytic Riemannian manifolds. arXiv:2312.07045

· Z. Liang, J. Luo, Z. Zhao: Symplectic Normal Form and Growth of Sobolev Norm. arXiv:2312.16492

Publication:

· Z. Liang, Z. Zhao and Q. Zhou: Almost reducibility and oscillatory growth of Sobolev norms. Advances in Mathematics 436, 109417 (2024). Journal arXiv:2208.06814

· L. Stolovitch and Z. Zhao: Geometry of hyperbolic Cauchy-Riemann singularities and KAM-like theory for holomorphic involutions. Math. Ann. 386, 587–672 (2023) Journal arXiv:2203.14584

· J. Luo, Z. Liang and Z. Zhao: Growth of Sobolev Norms in 1-d Quantum Harmonic Oscillator with Polynomial Time Quasi-periodic Perturbation. Commun. Math. Phys. 392, 1–23 (2022). Journal arXiv:2108.08141

· Y. Mi and Z. Zhao: Dispersive Estimates for Periodic Discrete One-dimensional Schrödinger Operators. Proc. Amer. Math. Soc. 150(1), 267—277 (2022). Journal Article

· Z. Liang, Z. Zhao and Q. Zhou: 1-d quantum harmonic oscillator with time quasi-periodic quadratic perturbation: reducibility and growth of Sobolev norms. J. Math. Pures Appl. 146(1), 158--182 (2021). Journal arXiv:2003.13034

· D. Bambusi and Z. Zhao: Dispersive estimate for quasi-periodic Schrödinger operators on 1-d lattices. Advances in Mathematics 336, 107071 (2020). Journal arXiv:1912.01528

· Y. Mi and Z. Zhao: Dispersive estimate for two-periodic discrete one-dimensional Schrödinger operator. J. Math. Anal. Appl. 485(1), 123768 (2020). Journal Article

· Z. Zhang and Z. Zhao: Ballistic transport and absolute continuity of one-frequency quasi-periodic Schrödinger operators. Commun. Math. Phys. 351, 877–921 (2017). Journal arXiv: 1512.02195

· Z. Zhao: Ballistic transport in one-dimensional quasi-periodic continuous Schrödinger equation. J. Diff. Eqs. 262, 4523–4566 (2017). Journal arXiv:1604.00210

· Z. Zhao: Ballistic motion in one-dimensional quasi-periodic discrete Schrödinger equation. Commun. Math. Phys. 347, 511–549 (2016). Journal arXiv:1507.08909

· J. Geng and Z. Zhao: Reducibility of one-dimensional quasi-periodic Schrödinger equations. J. Math. Pures Appl. 104, 436–453 (2015). Journal Article

· J. Geng, J. You and Z. Zhao: Localization in one-dimensional quasi-periodic nonlinear systems. Geom. And Func. Anal. 24, 116–158 (2014). Journal Article

· J. Geng and Z. Zhao: Quasi-periodic solutions for one-dimensional discrete nonlinear Schrödinger equations with tangent potential. Siam. J. Math. Anal. 45(6), 3651–3689 (2013). Journal Article

· S. Zhang and Z. Zhao: Diffusion bound and reducibility for discrete Schrödinger equations with tangent potential. Front. Math. China, 7(6), 1213–1235 (2012). Journal Article

· Z. Zhao and J. Geng: Linearly stable quasi-periodic breathers in a class of random Hamiltonian systems. J. Dyn. Diff. Eqs., 23, 961–997 (2011). Journal Article