Lingrui Ge

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All published works

Action	Title	Year	Authors
+	Hofstadter Butterflies and Metal/Insulator Transitions for Moiré Heterostructures	2024	Simon Becker Lingrui Ge Jens Wittsten
+ PDF Chat	Hidden subcriticality, symplectic structure, and universality of sharp arithmetic spectral results for type I operators	2024	Lingrui Ge Svetlana Jitomirskaya
+	On the Almost Reducibility Conjecture	2024	Lingrui Ge
+ PDF Chat	Stability of the Non-Critical Spectral Properties I: Arithmetic Absolute Continuity of the Integrated Density of States	2023	Lingrui Ge Svetlana Jitomirskaya Xin Zhao
+ PDF Chat	Exponential Dynamical Localization: Criterion and Applications	2023	Lingrui Ge Jiangong You Qi Zhou
+	On the almost reducibility conjecture	2023	Lingrui Ge
+	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
+ PDF Chat	Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	2022	Lingrui Ge Ilya Kachkovskiy
+ 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
+	Stability of the non-critical spectral properties I: arithmetic absolute continuity of the integrated density of states	2022	Lingrui Ge Svetlana Jitomirskaya Xin Zhao
+	Hofstadter butterflies and metal/insulator transitions for moiré heterostructures	2022	Simon Becker Lingrui Ge Jens Wittsten
+	The Arithmetic Version of the Frequency Transition Conjecture: New Proof and Generalization	2021	Lingrui Ge Jiangong You Xin Zhao
+ PDF Chat	Reducibility of Finitely Differentiable Quasi-Periodic Cocycles and Its Spectral Applications	2021	Ao Cai Lingrui Ge
+	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
+ 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
+	The H\"older continuity of Lyapunov exponents for a class of Cos-type quasiperiodic Schr\"odinger cocycles	2020	Jiahao Xu Lingrui Ge Yiqian Wang
+	Arithmetic version of Anderson localization via reducibility	2020	Lingrui Ge Jiangong You
+	Ballistic transport for one-dimensional quasiperiodic Schrödinger operators	2020	Lingrui Ge Ilya Kachkovskiy
+	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
+	The precise regularity of the Lyapunov exponent for Cos-type quasiperiodic Schrödinger cocycles with large couplings	2020	Jiahao Xu Lingrui Ge Yiqian Wang
+	Exponential Dynamical Localization: Criterion and Applications	2019	Lingrui Ge Jiangong You Qi Zhou
+	Reducibility of finitely differentiable quasi-periodic cocycles and its spectral applications	2017	Ao Cai Lingrui Ge

Common Coauthors

Coauthor	Papers Together
Jiangong You	14
Xin Zhao	6
Svetlana Jitomirskaya	5
Qi Zhou	3
Yiqian Wang	3
Jens Wittsten	2
Hongyu Cheng	2
Ao Cai	2
Jiahao Xu	2
Simon Becker	2
Ilya Kachkovskiy	2
Qi Zhou	1
Xin Zhao	1
Qi Zhou	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Global theory of one-frequency Schrödinger operators	2015	Artur Avila	17
+ PDF Chat	Sharp phase transitions for the almost Mathieu operator	2017	Artur Avila Jiangong You Qi Zhou	17
+	Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems	2012	Xuanji Hou Jiangong You	14
+ PDF Chat	Almost localization and almost reducibility	2009	Artur Avila Svetlana Jitomirskaya	14
+ PDF Chat	Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation	1992	L. H. Eliasson	13
+ PDF Chat	Metal-Insulator Transition for the Almost Mathieu Operator	1999	Svetlana Jitomirskaya	13
+ PDF Chat	The Ten Martini Problem	2009	Artur Avila Svetlana Jitomirskaya	11
+	Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function	2004	Silvius Klein	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	10
+ PDF Chat	Duality and singular continuous spectrum in the almost Mathieu equation	1997	Alexander Y. Gordon Svetlana Jitomirskaya Yoram Last Barry Simon	10
+ PDF Chat	On Nonperturbative Localization with Quasi-Periodic Potential	2000	Jean Bourgain M. Goldstein	10
+	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	10
+ PDF Chat	A nonperturbative Eliasson's reducibility theorem	2005	Joaquim Puig	9
+ PDF Chat	The rotation number for almost periodic potentials	1983	Randal Johnson J. Moser	9
+ PDF Chat	$L^2$-reducibility and localization for quasiperiodic operators	2016	Svetlana Jitomirskaya Ilya Kachkovskiy	9
+	None	2002	Jean Bourgain Svetlana Jitomirskaya	9
+	A Kam Scheme for SL(2, $${{\mathbb R}}$$ ) Cocycles with Liouvillean Frequencies	2011	Artur Avila Bassam Fayad Raphaël Krikorian	9
+	Absolutely continuous spectrum for 1D quasiperiodic operators	2002	Jean Bourgain Svetlana Jitomirskaya	8
+	Almost reducibility and absolute continuity I	2010	Artur Avila	8
+ PDF Chat	Localization for a class of one dimensional quasi-periodic Schrödinger operators	1990	Jürg Fröhlich Thomas Spencer Peter Wittwer	8
+	Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase	2018	Svetlana Jitomirskaya Wencai Liu	8
+ PDF Chat	Arithmetic version of Anderson localization via reducibility	2020	Lingrui Ge Jiangong You	7
+ PDF Chat	Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles	2006	Artur Ávila Cordeiro de Melo Raphaël Krikorian	7
+ PDF Chat	Exponential Dynamical Localization: Criterion and Applications	2023	Lingrui Ge Jiangong You Qi Zhou	7
+	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	7
+	Anderson localization for one-dimensional difference Schr�dinger operator with quasiperiodic potential	1987	Ya. G. Sinaĭ	7
+ PDF Chat	Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum	1997	L. H. Eliasson	7
+	The one-dimensional Schr�dinger equation with a quasiperiodic potential	1976	E. I. Dinaburg Ya. G. Sinaĭ	7
+ PDF Chat	The rotation number for almost periodic potentials	1982	Randal Johnson J. Moser	7
+	Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles	2009	Svetlana Jitomirskaya Deborah Koslover M. S. Schulteis	6
+ PDF Chat	Universal hierarchical structure of quasiperiodic eigenfunctions	2018	Svetlana Jitomirskaya Wencai Liu	6
+	Asymptotics of spectral gaps of quasi-periodic Schrödinger operators	2017	Martin Leguil Jiangong You Zhiyan Zhao Qi Zhou	6
+	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	5
+	Green's Function Estimates for Lattice Schrödinger Operators and Applications.	2004	Jean Bourgain	5
+	Hölder Continuity of the Rotation Number for Quasi-Periodic Co-Cycles in $${SL(2, \mathbb R)}$$	2008	Sana Hadj Amor	5
+	A Thouless formula and Aubry duality for long-range Schrödinger skew-products	2013	Àlex Haro Joaquim Puig	5
+	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	5
+ PDF Chat	Anderson localization for Schrödinger operators on Z2 with quasi-periodic potential	2002	Jean Bourgain Michael Goldstein Wilhelm Schlag	4
+ PDF Chat	Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles	2019	Pedro Duarte Silvius Klein	4
+ PDF Chat	Complex one-frequency cocycles	2014	Artur Avila Svetlana Jitomirskaya Christian Sadel	4
+ PDF Chat	Fine Properties of the Integrated Density of States and a Quantitative Separation Property of the Dirichlet Eigenvalues	2008	Michael Goldstein Wilhelm Schlag	4
+	Reducibility Results for Quasiperiodic Cocycles With Liouvillean Frequency	2011	Qi Zhou Jing Wang	4
+ PDF Chat	Analytic quasi-periodic Schrödinger operators and rational frequency approximants	2012	Svetlana Jitomirskaya Christoph A. Marx	4
+	Lyapunov exponents for some quasi-periodic cocycles	1997	Lai-Sang Young	4
+ PDF Chat	Regularity and convergence rates for the Lyapunov exponents of linear cocycles	2013	Wilhelm Schlag	4
+	Anderson localization for the band model	2000	Jean Bourgain Svetlana Jitomirskaya	4
+ PDF Chat	Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles	2014	Pedro Duarte Silvius Klein	4
+ PDF Chat	Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications	2013	Jiangong You Qi Zhou	4
+ PDF Chat	On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations	2011	Michael Goldstein Wilhelm Schlag	4
+	Almost periodic Schrödinger operators: A Review	1982	Barry Simon	4