Liang, Jinhao; Wang, Yiqian; You, Jiangong Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles. (English) Zbl 07806905 Ann. Henri Poincaré 25, No. 2, 1399-1444 (2024). MSC: 37Dxx 81Qxx 47Bxx PDFBibTeX XMLCite \textit{J. Liang} et al., Ann. Henri Poincaré 25, No. 2, 1399--1444 (2024; Zbl 07806905) Full Text: DOI arXiv
Damanik, David; Li, Xianzhe; You, Jiangong; Zhou, Qi Stability of spectral types of quasi-periodic Schrödinger operators with respect to perturbations by decaying potentials. (English) Zbl 07746834 Commun. Math. Phys. 403, No. 2, 1069-1108 (2023). MSC: 47Bxx 81Qxx PDFBibTeX XMLCite \textit{D. Damanik} et al., Commun. Math. Phys. 403, No. 2, 1069--1108 (2023; Zbl 07746834) Full Text: DOI arXiv
Wang, Yongjian; Xia, Xu; You, Jiangong; Zheng, Zuohuan; Zhou, Qi Exact mobility edges for 1D quasiperiodic models. (English) Zbl 07719628 Commun. Math. Phys. 401, No. 3, 2521-2567 (2023). MSC: 47Bxx 81Qxx 34Lxx PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Math. Phys. 401, No. 3, 2521--2567 (2023; Zbl 07719628) Full Text: DOI arXiv
Ge, Lingrui; You, Jiangong; Zhou, Qi Exponential dynamical localization: criterion and applications. (English) Zbl 1523.37010 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 91-126 (2023). MSC: 37A30 47B36 47A35 47H25 PDFBibTeX XMLCite \textit{L. Ge} et al., Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 91--126 (2023; Zbl 1523.37010) Full Text: DOI arXiv
Cheng, Hongyu; Ge, Lingrui; You, Jiangong; Zhou, Qi Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications. (English) Zbl 1506.37033 Adv. Math. 409, Part B, Article ID 108679, 65 p. (2022). MSC: 37C30 47B37 34L40 81Q10 PDFBibTeX XMLCite \textit{H. Cheng} et al., Adv. Math. 409, Part B, Article ID 108679, 65 p. (2022; Zbl 1506.37033) Full Text: DOI arXiv
Ge, Lingrui; You, Jiangong; Zhao, Xin The arithmetic version of the frequency transition conjecture: new proof and generalization. (English) Zbl 1513.81054 Peking Math. J. 5, No. 2, 349-364 (2022). MSC: 81Q10 47B39 PDFBibTeX XMLCite \textit{L. Ge} et al., Peking Math. J. 5, No. 2, 349--364 (2022; Zbl 1513.81054) Full Text: DOI
Ge, Lingrui; You, Jiangong; Zhao, Xin Hölder regularity of the integrated density of states for quasi-periodic long-range operators on \(\ell^2(\mathbb{Z}^d)\). (English) Zbl 07531037 Commun. Math. Phys. 392, No. 2, 347-376 (2022). MSC: 47Bxx 81Qxx 82Bxx PDFBibTeX XMLCite \textit{L. Ge} et al., Commun. Math. Phys. 392, No. 2, 347--376 (2022; Zbl 07531037) Full Text: DOI arXiv
Xu, Xindong; You, Jiangong; Zhou, Qi Quasiperiodic solutions of NLS with Liouvillean frequencies. (English) Zbl 1493.37086 Anal. PDE 14, No. 8, 2327-2362 (2021). MSC: 37K55 35Q55 PDFBibTeX XMLCite \textit{X. Xu} et al., Anal. PDE 14, No. 8, 2327--2362 (2021; Zbl 1493.37086) Full Text: DOI arXiv
Ge, Lingrui; You, Jiangong Arithmetic version of Anderson localization via reducibility. (English) Zbl 1454.82017 Geom. Funct. Anal. 30, No. 5, 1370-1401 (2020). MSC: 82B44 81Q10 81Q05 47A10 PDFBibTeX XMLCite \textit{L. Ge} and \textit{J. You}, Geom. Funct. Anal. 30, No. 5, 1370--1401 (2020; Zbl 1454.82017) Full Text: DOI arXiv
Ge, Lingrui; You, Jiangong Large coupling asymptotics for the entropy of quasi-periodic operators. (English) Zbl 1441.81093 Sci. China, Math. 63, No. 9, 1745-1756 (2020). MSC: 81Q10 47B39 PDFBibTeX XMLCite \textit{L. Ge} and \textit{J. You}, Sci. China, Math. 63, No. 9, 1745--1756 (2020; Zbl 1441.81093) Full Text: DOI
Cai, Ao; Chavaudret, Claire; You, Jiangong; Zhou, Qi Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles. (English) Zbl 1482.37031 Math. Z. 291, No. 3-4, 931-958 (2019). MSC: 37D25 37H15 PDFBibTeX XMLCite \textit{A. Cai} et al., Math. Z. 291, No. 3--4, 931--958 (2019; Zbl 1482.37031) Full Text: DOI arXiv
Wang, Yiqian; You, Jiangong The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open. (English) Zbl 1395.37036 Commun. Math. Phys. 362, No. 3, 801-826 (2018). MSC: 37H15 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. You}, Commun. Math. Phys. 362, No. 3, 801--826 (2018; Zbl 1395.37036) Full Text: DOI
Wang, Jing; You, Jiangong; Zhou, Qi Response solutions for quasi-periodically forced harmonic oscillators. (English) Zbl 1369.34064 Trans. Am. Math. Soc. 369, No. 6, 4251-4274 (2017). Reviewer: Petro Feketa (Erfurt) MSC: 34C27 34C15 37C60 70K40 34C46 PDFBibTeX XMLCite \textit{J. Wang} et al., Trans. Am. Math. Soc. 369, No. 6, 4251--4274 (2017; Zbl 1369.34064) Full Text: DOI
You, Jiangong; Zhang, Shiwen; Zhou, Qi Point spectrum for quasi-periodic long range operators. (English) Zbl 1311.81126 J. Spectr. Theory 4, No. 4, 769-781 (2014). MSC: 81Q10 37C55 PDFBibTeX XMLCite \textit{J. You} et al., J. Spectr. Theory 4, No. 4, 769--781 (2014; Zbl 1311.81126) Full Text: DOI
You, Jiangong; Zhang, Shiwen Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency. (English) Zbl 1315.39004 Ergodic Theory Dyn. Syst. 34, No. 4, 1395-1408 (2014). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 39A12 37H15 26A16 PDFBibTeX XMLCite \textit{J. You} and \textit{S. Zhang}, Ergodic Theory Dyn. Syst. 34, No. 4, 1395--1408 (2014; Zbl 1315.39004) Full Text: DOI Link
You, Jiangong; Zhou, Qi Phase transition and semi-global reducibility. (English) Zbl 1308.34117 Commun. Math. Phys. 330, No. 3, 1095-1113 (2014). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34L40 34L05 34C20 PDFBibTeX XMLCite \textit{J. You} and \textit{Q. Zhou}, Commun. Math. Phys. 330, No. 3, 1095--1113 (2014; Zbl 1308.34117) Full Text: DOI
Geng, Jiansheng; You, Jiangong; Zhao, Zhiyan Localization in one-dimensional quasi-periodic nonlinear systems. (English) Zbl 1293.35335 Geom. Funct. Anal. 24, No. 1, 116-158 (2014). MSC: 35Q82 35Q55 82B44 37K55 PDFBibTeX XMLCite \textit{J. Geng} et al., Geom. Funct. Anal. 24, No. 1, 116--158 (2014; Zbl 1293.35335) Full Text: DOI
Wang, Yiqian; You, Jiangong Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles. (English) Zbl 1405.37032 Duke Math. J. 162, No. 13, 2363-2412 (2013). MSC: 37D25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. You}, Duke Math. J. 162, No. 13, 2363--2412 (2013; Zbl 1405.37032) Full Text: DOI arXiv Euclid
You, Jiangong; Zhou, Qi Embedding of analytic quasi-periodic cocycles into analytic quasi-periodic linear systems and its applications. (English) Zbl 1286.37004 Commun. Math. Phys. 323, No. 3, 975-1005 (2013). Reviewer: Meirong Zhang (Beijing) MSC: 37A20 37C55 37J40 34C27 PDFBibTeX XMLCite \textit{J. You} and \textit{Q. Zhou}, Commun. Math. Phys. 323, No. 3, 975--1005 (2013; Zbl 1286.37004) Full Text: DOI arXiv
Wu, Jian; You, Jiangong Reducibility of slow quasi-periodic linear systems. (English) Zbl 1350.37022 Proc. Am. Math. Soc. 141, No. 9, 3147-3155 (2013). MSC: 37C15 37C05 34A30 34C27 34C20 PDFBibTeX XMLCite \textit{J. Wu} and \textit{J. You}, Proc. Am. Math. Soc. 141, No. 9, 3147--3155 (2013; Zbl 1350.37022) Full Text: DOI
Geng, Jiansheng; You, Jiangong A KAM theorem for higher dimensional nonlinear Schrödinger equations. (English) Zbl 1358.37113 J. Dyn. Differ. Equations 25, No. 2, 451-476 (2013). MSC: 37K55 35B10 35Q55 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, J. Dyn. Differ. Equations 25, No. 2, 451--476 (2013; Zbl 1358.37113) Full Text: DOI
Hou, Xuanji; You, Jiangong Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems. (English) Zbl 1294.37027 Invent. Math. 190, No. 1, 209-260 (2012). Reviewer: Jens Rademacher (Bremen) MSC: 37J40 37C55 34C20 70K43 70H08 35J10 47A10 PDFBibTeX XMLCite \textit{X. Hou} and \textit{J. You}, Invent. Math. 190, No. 1, 209--260 (2012; Zbl 1294.37027) Full Text: DOI
Geng, Jiansheng; Xu, Xindong; You, Jiangong An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation. (English) Zbl 1213.37104 Adv. Math. 226, No. 6, 5361-5402 (2011). Reviewer: Chuangan Hu (Cupertino) MSC: 37K55 35B10 35Q55 PDFBibTeX XMLCite \textit{J. Geng} et al., Adv. Math. 226, No. 6, 5361--5402 (2011; Zbl 1213.37104) Full Text: DOI
Lu, Hui; You, Jian Gong Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian systems. (English) Zbl 1175.37064 Acta Math. Sin., Engl. Ser. 25, No. 8, 1363-1378 (2009). Reviewer: Jan Andres (Olomouc) MSC: 37J40 PDFBibTeX XMLCite \textit{H. Lu} and \textit{J. G. You}, Acta Math. Sin., Engl. Ser. 25, No. 8, 1363--1378 (2009; Zbl 1175.37064) Full Text: DOI
Xu, Junxiang; You, Jiangong Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann’s non-degeneracy condition. (English) Zbl 1112.37045 J. Differ. Equations 235, No. 2, 609-622 (2007). MSC: 37J40 37J15 PDFBibTeX XMLCite \textit{J. Xu} and \textit{J. You}, J. Differ. Equations 235, No. 2, 609--622 (2007; Zbl 1112.37045) Full Text: DOI
Geng, Jiansheng; You, Jiangong A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces. (English) Zbl 1103.37047 Commun. Math. Phys. 262, No. 2, 343-372 (2006). MSC: 37K55 35Q72 35Q55 35L75 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, Commun. Math. Phys. 262, No. 2, 343--372 (2006; Zbl 1103.37047) Full Text: DOI
Geng, Jiansheng; You, Jiangong A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions. (English) Zbl 1064.35186 J. Differ. Equations 209, No. 1, 1-56 (2005). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 37K55 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, J. Differ. Equations 209, No. 1, 1--56 (2005; Zbl 1064.35186) Full Text: DOI
Geng, Jiansheng; You, Jiangong KAM tori of Hamiltonian perturbations of 1D linear beam equations. (English) Zbl 1017.35110 J. Math. Anal. Appl. 277, No. 1, 104-121 (2003). MSC: 35Q72 37K55 74K10 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, J. Math. Anal. Appl. 277, No. 1, 104--121 (2003; Zbl 1017.35110) Full Text: DOI
Xu, Junxiang; You, Jiangong Persistence of lower-dimensional tori under the first Melnikov’s non-resonance condition. (English) Zbl 1031.37053 J. Math. Pures Appl., IX. Sér. 80, No. 10, 1045-1067 (2001). Reviewer: Manuel de León (Madrid) MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{J. Xu} and \textit{J. You}, J. Math. Pures Appl. (9) 80, No. 10, 1045--1067 (2001; Zbl 1031.37053) Full Text: DOI
You, Jiangong Perturbations of lower dimensional tori for Hamiltonian systems. (English) Zbl 0919.58055 J. Differ. Equations 152, No. 1, 1-29 (1999). MSC: 37J40 PDFBibTeX XMLCite \textit{J. You}, J. Differ. Equations 152, No. 1, 1--29 (1999; Zbl 0919.58055) Full Text: DOI Link