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Zhenghe Zhang
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Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent
V Bucaj, D Damanik, J Fillman, V Gerbuz, T VandenBoom, F Wang, ...
Transactions of the American Mathematical Society 372 (5), 3619-3667, 2019
562019
Uniform positivity and continuity of Lyapunov exponents for a class of C2 quasiperiodic Schrödinger cocycles
Y Wang, Z Zhang
Journal of Functional Analysis 268 (9), 2525-2585, 2015
472015
Positive Lyapunov exponents for quasiperiodic Szegő cocycles
Z Zhang
Nonlinearity 25 (6), 1771, 2012
362012
Singular density of states measure for subshift and quasi-periodic Schrödinger operators
A Avila, D Damanik, Z Zhang
Communications in Mathematical Physics 330 (2), 469-498, 2014
292014
Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger Operators
Z Zhang
arXiv preprint arXiv:1305.4226, 2013
29*2013
Cantor Spectrum for a Class of Quasiperiodic Schrödinger Operators
Y Wang, Z Zhang
International Mathematics Research Notices 2017 (8), 2300-2336, 2017
272017
Spectral characteristics of the unitary critical almost-Mathieu operator
J Fillman, DC Ong, Z Zhang
Communications in Mathematical Physics 351 (2), 525-561, 2017
172017
Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent
A Avila, D Damanik, Z Zhang
Inventiones mathematicae 231 (2), 851-927, 2023
102023
Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly
V Bucaj, D Damanik, J Fillman, V Gerbuz, T VandenBoom, F Wang, ...
Journal of Functional Analysis 277 (9), 3179-3186, 2019
92019
Uniform positivity of the Lyapunov exponent for monotone potentials generated by the doubling map
Z Zhang
arXiv preprint arXiv:1610.02137, 2016
82016
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices
D Damanik, J Fillman, Z Zhang
Journal of Spectral Theory 13 (1), 297-318, 2023
32023
On the correspondence between domination and the spectrum of Jacobi operators
K Alkorn, Z Zhang
Transactions of the American Mathematical Society 375 (11), 8101-8149, 2022
22022
Positivity and continuity of Lyapunov exponents for one-frequency, smooth quasi-periodic Schrödinger operators
Z Zhang
Northwestern University, 2014
12014
Schr\" odinger Operators with Potentials Generated by Hyperbolic Transformations: II. Large Deviations and Anderson Localization
A Avila, D Damanik, Z Zhang
arXiv preprint arXiv:2402.00215, 2024
2024
Spectral and dynamical properties of aperiodic quantum walks
JD Fillman, D Damanik, D Ong, Z Zhang
2021 Spring Western Virtual Sectional Meeting, 0
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Articles 1–15