Jiangong You

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All published works

Action	Title	Year	Authors
+ PDF Chat	Non-Self-Adjoint Quasi-periodic Operators with complex spectrum	2024	Zhenfu Wang Jiangong You Qi Zhou
+ PDF Chat	Exact local distribution of the absolutely continuous spectral measure	2024	Xianzhe Li Jiangong You Qi Zhou
+	Global structure of spectra of periodic non-Hermitian Jacobi operators	2024	Hui Lu Jiangong You
+	Explicit construction of quasi-periodic analytic Schrödinger operators with cantor spectrum	2024	Jiawei He Xuanji Hou Yuan Shan Jiangong You
+	The KAM method for the spectral theory of quasi-periodic Schr&ouml;dinger operators	2024	Jiangong You
+	Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	2024	Xueyin Wang Jiangong You Qi Zhou
+ PDF Chat	Winding Number, Density of States, and Acceleration	2024	Xueyin Wang Zhenfu Wang Jiangong You Qi Zhou
+	Hölder Continuity of Lyapunov Exponent for a Family of Smooth Schrödinger Cocycles	2023	Jinhao Liang Yiqian Wang Jiangong You
+ PDF Chat	Stability of Spectral Types of Quasi-periodic Schrödinger Operators with Respect to Perturbations by Decaying Potentials	2023	David Damanik Xianzhe Li Jiangong You Qi Zhou
+ PDF Chat	Exact Mobility Edges for 1D Quasiperiodic Models	2023	Yongjian Wang X. C. Xia Jiangong You Zuohuan Zheng Qi Zhou
+ PDF Chat	Exponential Dynamical Localization: Criterion and Applications	2023	Lingrui Ge Jiangong You Qi Zhou
+	Winding number, density of states and acceleration	2023	Xueyin Wang Zhenfu Wang Jiangong You Qi Zhou
+	Absolute continuity of the integrated density of states in the localized regime	2023	Jing Wang Xu Xu Jiangong You Qi Zhou
+	Non-Self-Adjoint Quasi-periodic Operators with complex spectrum	2023	Zhenfu Wang Jiangong You Qi Zhou
+	Dry Ten Martini Problem in the non-critical case	2023	Artur Avila Jiangong You Qi Zhou
+	Multiplicative Jensen's formula and quantitative global theory of one-frequency Schrödinger operators	2023	Lingrui Ge Svetlana Jitomirskaya Jiangong You Qi Zhou
+	Kotani theory, Puig's argument, and stability of The Ten Martini Problem	2023	Lingrui Ge Svetlana Jitomirskaya Jiangong You
+	Global structure of the spectrum of periodic Non-hermitian Jacobi operators	2023	Hui Lu Jiangong You
+	Spectrum of Hatano-Nelson model with strictly ergodic potentials	2023	Xueyin Wang Zhenfu Wang Jiangong You Qi Zhou
+ PDF Chat	Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications	2022	Hongyu Cheng Lingrui Ge Jiangong You Qi Zhou
+	Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on $$\ell ^2({\mathbb {Z}}^d)$$	2022	Lingrui Ge Jiangong You Xin Zhao
+	Isospectrum of non-self-adjoint almost-periodic Schrodinger operators	2022	Xueyin Wang Jiangong You Qi Zhou
+	Stability of Spectral Types of Quasi-Periodic Schrödinger Operators With Respect to Perturbations by Decaying Potentials	2022	David Damanik Xianzhe Li Jiangong You Qi Zhou
+ PDF Chat	Quasiperiodic solutions of NLS with Liouvillean frequencies	2021	Xindong Xu Jiangong You Qi Zhou
+	The Arithmetic Version of the Frequency Transition Conjecture: New Proof and Generalization	2021	Lingrui Ge Jiangong You Xin Zhao
+	Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications	2021	Hongyu Cheng Lingrui Ge Jiangong You Qi Zhou
+	Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles	2021	Lingrui Ge Yiqian Wang Jiangong You Xin Zhao
+	Arithmetic version of anderson localization for quasiperiodic Schrödinger operators with even cosine type potentials	2021	Lingrui Ge Jiangong You Xin Zhao
+	Exact mobility edges for 1D quasiperiodic models	2021	Yongjian Wang Xia Xu Jiangong You Zuohuan Zheng Qi Zhou
+ PDF Chat	One-Dimensional Quasiperiodic Mosaic Lattice with Exact Mobility Edges	2020	Yucheng Wang X. C. Xia Long Zhang Hepeng Yao Shu Chen Jiangong You Qi Zhou Xiong-Jun Liu
+	Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems	2020	Junxiang Xu Jiangong You
+ PDF Chat	Arithmetic version of Anderson localization via reducibility	2020	Lingrui Ge Jiangong You
+	Large coupling asymptotics for the entropy of quasi-periodic operators	2020	Lingrui Ge Jiangong You
+	Arithmetic version of Anderson localization via reducibility	2020	Lingrui Ge Jiangong You
+	Hölder regularity of the integrated density of states for quasi-periodic long-range operators on $\ell^2(\Z^d)$	2020	Lingrui Ge Jiangong You Xin Zhao
+	Construction of QuasiPeriodic Schrödinger Operators with Cantor Spectrum	2019	Xuanji Hou Yuan Shan Jiangong You
+	QUANTITATIVE ALMOST REDUCIBILITY AND ITS APPLICATIONS	2019	Jiangong You
+	General introduction to "Quasi periodic Schroedinger operators	2019	Jiangong You
+	Exponential Dynamical Localization: Criterion and Applications	2019	Lingrui Ge Jiangong You Qi Zhou
+ PDF Chat	Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles	2018	Ao Cai Claire Chavaudret Jiangong You Qi Zhou
+	The Set of Smooth Quasi-periodic Schrödinger Cocycles with Positive Lyapunov Exponent is Not Open	2018	Yiqian Wang Jiangong You
+	Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles	2018	Jinhao Liang Yiqian Wang Jiangong You
+ PDF Chat	Linearization of Quasiperiodically Forced Circle Flows Beyond Brjuno Condition	2017	Raphaël Krikorian Jing Wang Jiangong You Qi Zhou
+	Quasi-periodic solutions of NLS with Liouvillean Frequency	2017	Xindong Xu Jiangong You Qi Zhou
+ PDF Chat	Sharp phase transitions for the almost Mathieu operator	2017	Artur Avila Jiangong You Qi Zhou
+	Sharp Holder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles	2017	Ao Cai Claire Chavaudret Jiangong You Qi Zhou
+	Asymptotics of spectral gaps of quasi-periodic Schrödinger operators	2017	Martin Leguil Jiangong You Zhiyan Zhao Qi Zhou
+ PDF Chat	KAM theory in finite and infinite dimensional spaces	2016	Jiansheng Geng Junxiang Xu Jiangong You
+	Boundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequency	2016	Jing Wang Jiangong You
+	Response solutions for quasi-periodically forced harmonic oscillators	2015	Jing Wang Jiangong You Qi Zhou
+ PDF Chat	Point spectrum for quasi-periodic long range operators	2015	Jiangong You Shiwen Zhang Qi Zhou
+	Quasi-Periodic Schrödinger Cocycles with Positive Lyapunov Exponent are not Open in the Smooth Topology	2015	Yiqian Wang Jiangong You
+	Simple Counter-Examples to Kotani–Last Conjecture Via Reducibility	2014	Jiangong You Qi Zhou
+	Phase Transition and Semi-Global Reducibility	2014	Jiangong You Qi Zhou
+ PDF Chat	Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles	2013	Yiqian Wang Jiangong You
+ PDF Chat	Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications	2013	Jiangong You Qi Zhou
+	Reducibility of slow quasi-periodic linear systems	2013	Jian Wu Jiangong You
+	Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency	2013	Jiangong You Shiwen Zhang
+	A KAM Theorem for Higher Dimensional Nonlinear Schrödinger Equations	2013	Jiansheng Geng Jiangong You
+	Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems	2012	Xuanji Hou Jiangong You
+	An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation	2011	Jiansheng Geng Xindong Xu Jiangong You
+	Persistence of the non-twist torus in nearly integrable hamiltonian systems	2010	Junxiang Xu Jiangong You
+	Local rigidity of reducibility of analytic quasi-periodic cocycles on $U(n)$	2009	Xuanji Hou Jiangong You
+	Full Measure Reducibility for Generic One-parameter Family of Quasi-periodic Linear Systems	2008	Hai-Long Her Jiangong You
+	Diophantine vectors in analytic submanifolds of Euclidean spaces	2007	Rongmei Cao Jiangong You
+	Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition	2007	Junxiang Xu Jiangong You
+	KAM tori for higher dimensional beam equations with constant potentials<sup>*</sup>	2006	Jiansheng Geng Jiangong You
+	The existence of integrable invariant manifolds of Hamiltonian partial differential equations	2006	Rongmei Cao Jiangong You
+	A KAM Theorem for Hamiltonian Partial Differential Equations in Higher Dimensional Spaces	2005	Jiansheng Geng Jiangong You
+	Quasi-Periodic Solutions for 1D Schrödinger Equations with Higher Order Nonlinearity	2005	Zhenguo Liang Jiangong You
+	A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions	2004	Jiansheng Geng Jiangong You
+	KAM tori of Hamiltonian perturbations of 1D linear beam equations	2003	Jiansheng Geng Jiangong You
+	Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition	2001	Junxiang Xu Jiangong You
+	KAM Tori for 1D Nonlinear Wave Equations¶with Periodic Boundary Conditions	2000	Luigi Chierchia Jiangong You
+	Existence of quasiperiodic solutions and Littlewood’s boundedness problem of Duffing equations with subquadratic potentials	1999	Tassilo Küpper Jiangong You
+	Quasiperiodic solutions of Duffing’s equations	1998	Bo Liu Jiangong You
+	Oscillatory Escape in a Duffing Equation with a Polynomial Potential	1997	Mark Levi Jiangong You
+	On the Application of KAM Theory to Discontinuous Dynamical Systems	1997	Markus Kunze Tassilo Küpper Jiangong You
+	Boundedness of solutions for polynomial potentials withC 2 time dependent coefficients	1996	Yiqian Wang Jiangong You
+	Quasiperiodic Solutions for a Class of Quasiperiodically Forced Differential Equations	1995	Jiangong You
+	Quasiperiodic solutions for nonlinear differential equations of second order with symmetry	1994	Bin Liu Jiangong You
+	Invariant tori and Lagrange stability of pendulum-type equations	1990	Jiangong You

Common Coauthors

Coauthor	Papers Together
Qi Zhou	22
Lingrui Ge	14
Yiqian Wang	7
Jiansheng Geng	7
Xin Zhao	5
Qi Zhou	5
Zhenfu Wang	4
Xuanji Hou	4
Junxiang Xu	4
Xindong Xu	3
Yuan Shan	2
Xueyin Wang	2
Rongmei Cao	2
Xianzhe Li	2
Jinhao Liang	2
Ao Cai	2
Jing Wang	2
Hongyu Cheng	2
Svetlana Jitomirskaya	2
X. C. Xia	2
Zuohuan Zheng	2
Tassilo Küpper	2
David Damanik	2
Shiwen Zhang	2
Xueyin Wang	2
Claire Chavaudret	2
Qi Zhou	2
Zhenfu Wang	1
Qi Zhou	1
Qi Zhou	1
Jian Wu	1
Markus Kunze	1
Hui Lu	1
Artur Avila	1
Hui Lu	1
Shu Chen	1
Xianzhe Li	1
Luigi Chierchia	1
Hai-Long Her	1
Jiawei He	1
Xueyin Wang	1
Raphaël Krikorian	1
Martin Leguil	1
Mark Levi	1
Zhiyan Zhao	1
Hepeng Yao	1
Junxiang Xu	1
Xiong-Jun Liu	1
Jing Wang	1
Artur Avila	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems	2012	Xuanji Hou Jiangong You	28
+ PDF Chat	Almost localization and almost reducibility	2009	Artur Avila Svetlana Jitomirskaya	26
+ PDF Chat	Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation	1992	L. H. Eliasson	24
+ PDF Chat	Global theory of one-frequency Schrödinger operators	2015	Artur Avila	23
+ PDF Chat	Sharp phase transitions for the almost Mathieu operator	2017	Artur Avila Jiangong You Qi Zhou	20
+ PDF Chat	The Ten Martini Problem	2009	Artur Avila Svetlana Jitomirskaya	19
+	None	2002	Jean Bourgain Svetlana Jitomirskaya	18
+	A Kam Scheme for SL(2, $${{\mathbb R}}$$ ) Cocycles with Liouvillean Frequencies	2011	Artur Avila Bassam Fayad Raphaël Krikorian	18
+ PDF Chat	A nonperturbative Eliasson's reducibility theorem	2005	Joaquim Puig	17
+ PDF Chat	On Nonperturbative Localization with Quasi-Periodic Potential	2000	Jean Bourgain M. Goldstein	16
+ PDF Chat	The rotation number for almost periodic potentials	1983	Randal Johnson J. Moser	16
+	Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function	2004	Silvius Klein	15
+	The one-dimensional Schr�dinger equation with a quasiperiodic potential	1976	E. I. Dinaburg Ya. G. Sinaĭ	15
+ PDF Chat	The rotation number for almost periodic potentials	1982	Randal Johnson J. Moser	15
+	Green's Function Estimates for Lattice Schrödinger Operators and Applications.	2004	Jean Bourgain	15
+	Positivity and continuity of the Lyapounov exponent for shifts on T d with arbitrary frequency vector and real analytic potentiald with arbitrary frequency vector and real analytic potential	2005	Jean Bourgain	14
+ PDF Chat	Metal-Insulator Transition for the Almost Mathieu Operator	1999	Svetlana Jitomirskaya	14
+ PDF Chat	Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles	2006	Artur Ávila Cordeiro de Melo Raphaël Krikorian	14
+	Holder Continuity of the Integrated Density of States for Quasi-Periodic Schrodinger Equations and Averages of Shifts of Subharmonic Functions	2001	Michael Goldstein Wilhelm Schlag	12
+ PDF Chat	Nearly Integrable Infinite-Dimensional Hamiltonian Systems	1993	Sergej B. Kuksin	12
+	Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d’un théorème d’Arnold et de Moser sur le tore de dimension 2	1983	Michael R. Herman	12
+ PDF Chat	Localization for a class of one dimensional quasi-periodic Schrödinger operators	1990	Jürg Fröhlich Thomas Spencer Peter Wittwer	12
+	Anderson localization for one-dimensional difference Schr�dinger operator with quasiperiodic potential	1987	Ya. G. Sinaĭ	12
+	Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles	2009	Svetlana Jitomirskaya Deborah Koslover M. S. Schulteis	12
+ PDF Chat	Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum	1997	L. H. Eliasson	11
+	Almost reducibility and absolute continuity I	2010	Artur Avila	11
+	Rigidity results for quasiperiodic <em>SL(2, R)</em>-cocycles	2009	Bassam Fayad Raphaël Krikorian	11
+ PDF Chat	Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles	2018	Ao Cai Claire Chavaudret Jiangong You Qi Zhou	11
+	Nearly Integrable Infinite-Dimensional Hamiltonian Systems	1993	Sergej B. Kuksin	10
+	A KAM-theorem for some nonlinear partial differential equations	1996	Jürgen Pöschel	10
+	Newton's method and periodic solutions of nonlinear wave equations	1993	Walter Craig C. Eugene Wayne	10
+	None	1994	Jean Bourgain	10
+ PDF Chat	On the multiplicative ergodic theorem for uniquely ergodic systems	1997	Alex Furman	10
+ PDF Chat	Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles	2013	Yiqian Wang Jiangong You	10
+	Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)	2005	Jean Bourgain	9
+ PDF Chat	Duality and singular continuous spectrum in the almost Mathieu equation	1997	Alexander Y. Gordon Svetlana Jitomirskaya Yoram Last Barry Simon	9
+ PDF Chat	Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications	2013	Jiangong You Qi Zhou	9
+	Absolutely continuous spectrum for 1D quasiperiodic operators	2002	Jean Bourgain Svetlana Jitomirskaya	8
+ PDF Chat	Analytic Quasi-Perodic Cocycles with Singularities and the Lyapunov Exponent of Extended Harper’s Model	2012	Svetlana Jitomirskaya Christoph A. Marx	8
+	On elliptic lower dimensional tori in hamiltonian systems	1989	Jürgen Pöschel	8
+	Reducibility Results for Quasiperiodic Cocycles With Liouvillean Frequency	2011	Qi Zhou Jing Wang	8
+ PDF Chat	Complex one-frequency cocycles	2014	Artur Avila Svetlana Jitomirskaya Christian Sadel	8
+ PDF Chat	Construction of periodic solutions of nonlinear wave equations in higher dimension	1995	Jean Bourgain	8
+	Hölder Continuity of the Rotation Number for Quasi-Periodic Co-Cycles in $${SL(2, \mathbb R)}$$	2008	Sana Hadj Amor	8
+ PDF Chat	Analytic quasi-periodic Schrödinger operators and rational frequency approximants	2012	Svetlana Jitomirskaya Christoph A. Marx	8
+	Uniform positivity and continuity of Lyapunov exponents for a class of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> quasiperiodic Schrödinger cocycles	2015	Yiqian Wang Zhenghe Zhang	8
+ PDF Chat	Fine Properties of the Integrated Density of States and a Quantitative Separation Property of the Dirichlet Eigenvalues	2008	Michael Goldstein Wilhelm Schlag	8
+	None	2000	Jean Bourgain	7
+ PDF Chat	Positive Lyapunov exponents for Schrödinger operators with quasi-periodic potentials	1991	Eugene Sorets Thomas Spencer	7
+ PDF Chat	A case of boundedness in Littlewood's problem on oscillatory differential equations	1976	G. R. Morris	7