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Zhang, Zhenghe

Co-Author Distance
Author ID: zhang.zhenghe Recent zbMATH articles by "Zhang, Zhenghe"
Published as: Zhang, Zhenghe
External Links: MGP
Documents Indexed: 16 Publications since 2011, including 1 Additional arXiv Preprint
Co-Authors: 10 Co-Authors with 10 Joint Publications
196 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
6 Damanik, David
4 Fillman, Jake
3 Avila, Artur
2 Bucaj, Valmir
2 Gerbuz, Vitaly
2 VandenBoom, Tom
2 Wang, Fengpeng
2 Wang, Yiqian
1 Alkorn, Kateryna
1 Ong, Darren C.
all top 5

Serials

3 Communications in Mathematical Physics
2 Journal of Functional Analysis
2 Transactions of the American Mathematical Society
2 Journal of Spectral Theory
1 Nonlinearity
1 Inventiones Mathematicae
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 IMRN. International Mathematics Research Notices
1 Abstract and Applied Analysis
1 Journal of Function Spaces and Applications
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Fields

8 Dynamical systems and ergodic theory (37-XX)
6 Operator theory (47-XX)
4 Quantum theory (81-XX)
3 Partial differential equations (35-XX)
3 Functional analysis (46-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
1 Probability theory and stochastic processes (60-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

15 Publications have been cited 162 times in 106 Documents Cited by ▼ Year ▼
Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent. Zbl 1422.35022
Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; Vandenboom, Tom; Wang, Fengpeng; Zhang, Zhenghe
33
2019
Uniform positivity and continuity of Lyapunov exponents for a class of \(C^2\) quasiperiodic Schrödinger cocycles. Zbl 1368.37083
Wang, Yiqian; Zhang, Zhenghe
32
2015
Positive Lyapunov exponents for quasiperiodic Szegő cocycles. Zbl 1277.37009
Zhang, Zhenghe
27
2012
Cantor spectrum for a class of \(C^2\) quasiperiodic Schrödinger operators. Zbl 1405.37086
Wang, Yiqian; Zhang, Zhenghe
17
2017
Singular density of states measure for subshift and quasi-periodic Schrödinger operators. Zbl 1303.47089
Avila, Artur; Damanik, David; Zhang, Zhenghe
15
2014
Spectral characteristics of the unitary critical almost-Mathieu operator. Zbl 06702035
Fillman, Jake; Ong, Darren C.; Zhang, Zhenghe
12
2017
Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators. Zbl 1482.37030
Zhang, Zhenghe
9
2020
Some generalizations of locally and weakly locally uniformly convex space. Zbl 1232.46016
Zhang, Z. H.; Liu, C. Y.
7
2011
Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent. Zbl 1511.37038
Avila, Artur; Damanik, David; Zhang, Zhenghe
7
2023
Convexity and proximinality in Banach space. Zbl 1241.46011
Zhang, Z. H.; Liu, C. Y.
6
2012
Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly. Zbl 1478.35108
Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; VandenBoom, Tom; Wang, Fengpeng; Zhang, Zhenghe
6
2019
Convexities and existence of the farthest point. Zbl 1241.46010
Zhang, Z. H.; Liu, C. Y.
5
2011
On the correspondence between domination and the spectrum of Jacobi operators. Zbl 07595841
Alkorn, Kateryna; Zhang, Zhenghe
2
2022
Johnson-Schwartzman gap labelling for ergodic Jacobi matrices. Zbl 07761486
Damanik, David; Fillman, Jake; Zhang, Zhenghe
1
2023
Uniform positivity of the Lyapunov exponent for monotone potentials generated by the doubling map. Zbl 07923634
Zhang, Zhenghe
1
2024
Uniform positivity of the Lyapunov exponent for monotone potentials generated by the doubling map. Zbl 07923634
Zhang, Zhenghe
1
2024
Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent. Zbl 1511.37038
Avila, Artur; Damanik, David; Zhang, Zhenghe
7
2023
Johnson-Schwartzman gap labelling for ergodic Jacobi matrices. Zbl 07761486
Damanik, David; Fillman, Jake; Zhang, Zhenghe
1
2023
On the correspondence between domination and the spectrum of Jacobi operators. Zbl 07595841
Alkorn, Kateryna; Zhang, Zhenghe
2
2022
Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators. Zbl 1482.37030
Zhang, Zhenghe
9
2020
Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent. Zbl 1422.35022
Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; Vandenboom, Tom; Wang, Fengpeng; Zhang, Zhenghe
33
2019
Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly. Zbl 1478.35108
Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; VandenBoom, Tom; Wang, Fengpeng; Zhang, Zhenghe
6
2019
Cantor spectrum for a class of \(C^2\) quasiperiodic Schrödinger operators. Zbl 1405.37086
Wang, Yiqian; Zhang, Zhenghe
17
2017
Spectral characteristics of the unitary critical almost-Mathieu operator. Zbl 06702035
Fillman, Jake; Ong, Darren C.; Zhang, Zhenghe
12
2017
Uniform positivity and continuity of Lyapunov exponents for a class of \(C^2\) quasiperiodic Schrödinger cocycles. Zbl 1368.37083
Wang, Yiqian; Zhang, Zhenghe
32
2015
Singular density of states measure for subshift and quasi-periodic Schrödinger operators. Zbl 1303.47089
Avila, Artur; Damanik, David; Zhang, Zhenghe
15
2014
Positive Lyapunov exponents for quasiperiodic Szegő cocycles. Zbl 1277.37009
Zhang, Zhenghe
27
2012
Convexity and proximinality in Banach space. Zbl 1241.46011
Zhang, Z. H.; Liu, C. Y.
6
2012
Some generalizations of locally and weakly locally uniformly convex space. Zbl 1232.46016
Zhang, Z. H.; Liu, C. Y.
7
2011
Convexities and existence of the farthest point. Zbl 1241.46010
Zhang, Z. H.; Liu, C. Y.
5
2011
all cited Publications top 5 cited Publications
all top 5

Cited by 88 Authors

20 Damanik, David
14 Fillman, Jake
7 Jitomirskaya, Svetlana Yakovlevna
7 You, Jiangong
7 Zhang, Zhenghe
7 Zhao, Xin
6 Xu, Jiahao
5 Fu, Linlin
5 Ge, Lingrui
5 Gorodetskii, Anton Semenovich
5 Zhou, Qi
4 Cedzich, Christopher
4 Ong, Darren C.
4 Wang, Fengpeng
4 Wang, Yiqian
3 Cai, Ao
3 Sukhtaiev, Selim
2 Avila, Artur
2 Bourget, Olivier
2 Bucaj, Valmir
2 Duarte, Pedro
2 Geib, T.
2 Gohlke, Philipp
2 Goldstein, Michael
2 Han, Rui
2 Oertel-Jäger, Tobias Hendrik
2 Klein, Silvius
2 Lukic, Milivoje
2 Macera, Davide
2 Marx, Christoph A.
2 Matos, Rodrigo
2 Moreno Flores, Gregorio R.
2 Schlag, Wilhelm
2 Taarabt, Amal
2 Wang, Jing
2 Werner, Albert H.
2 Wu, Fan
2 Zhu, Xiaowen
1 Alkorn, Kateryna
1 Asch, Joachim
1 Bezerra, Jamerson
1 Binder, Ilia A.
1 Bjerklöv, Kristian
1 Chaika, Jonathan
1 Chavaudret, Claire
1 Ding, Bowen
1 Eichinger, Benjamin
1 Emilsdottir, Iris
1 Fang, Licheng
1 Figueras, Jordi-Lluís
1 Fu, Zhengqi
1 Geng, Wenmeng
1 Gerbuz, Vitaly
1 Guo, Shuzheng
1 Gwaltney, Ethan
1 Helman, Mark
1 Hou, Xuanji
1 Hurtado, Omar
1 Joye, Alain
1 Kachkovskiy, Ilya V.
1 Karaliolios, Nikolaos
1 Kesten, Jacob
1 Kleptsyn, Victor A.
1 Kung, Po-Jen
1 Li, Linjun
1 Liu, Wencai
1 Longhi, Stefano
1 Marx, Chris A.
1 Mavi, Rajinder
1 Piao, Daxiong
1 Poletti, Mauricio
1 Rangamani, Nishant
1 Schenker, Jeffrey H.
1 Shan, Yuan
1 Sodin, Sasha
1 Solomyak, Boris
1 Tao, Kai
1 Timoudas, Thomas Ohlson
1 VandenBoom, Tom
1 Voda, Mircea
1 Wang, Xueyin
1 Werner, Reinhard F.
1 Xia, Xu
1 Yang, Fan
1 Zhang, Guanzhen
1 Zhang, Lingfu
1 Zhang, Shiwen
1 Zhang, Zhiyuan
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Cited in 40 Serials

11 Communications in Mathematical Physics
9 Journal of Mathematical Physics
9 Journal of Functional Analysis
7 Annales Henri Poincaré
7 Journal of Spectral Theory
5 Discrete and Continuous Dynamical Systems
4 Letters in Mathematical Physics
4 Nonlinearity
4 Duke Mathematical Journal
4 Ergodic Theory and Dynamical Systems
3 Advances in Mathematics
3 Inventiones Mathematicae
3 Frontiers of Mathematics in China
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Journal of the European Mathematical Society (JEMS)
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin de la Société Mathématique de France
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Mathematical Physics, Analysis and Geometry
1 Acta Mathematica Sinica. English Series
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications on Pure and Applied Analysis
1 Operators and Matrices
1 Analysis & PDE
1 Science China. Mathematics
1 Annalen der Physik
1 Peking Mathematical Journal
1 Frontiers of Mathematics
all top 5

Cited in 20 Fields

61 Operator theory (47-XX)
58 Dynamical systems and ergodic theory (37-XX)
33 Quantum theory (81-XX)
23 Statistical mechanics, structure of matter (82-XX)
19 Partial differential equations (35-XX)
17 Ordinary differential equations (34-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
8 Probability theory and stochastic processes (60-XX)
7 Difference and functional equations (39-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Combinatorics (05-XX)
2 Optics, electromagnetic theory (78-XX)
1 Number theory (11-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year