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
62 2019 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
54 2015 Positive Lyapunov exponents for quasiperiodic Szegő cocycles Z Zhang
Nonlinearity 25 (6), 1771, 2012
40 2012 Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger Operators Z Zhang
arXiv preprint arXiv:1305.4226, 2013
35 * 2013 Cantor Spectrum for a Class of Y Wang, Z Zhang
International Mathematics Research Notices 2017 (8), 2300-2336, 2017
29 2017 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
29 2014 Spectral characteristics of the unitary critical almost-Mathieu operator J Fillman, DC Ong, Z Zhang
Communications in Mathematical Physics 351 (2), 525-561, 2017
19 2017 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
15 2023 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
11 2019 Uniform positivity of the Lyapunov exponent for monotone potentials generated by the doubling map Z Zhang
arXiv preprint arXiv:1610.02137, 2016
8 2016 Johnson–Schwartzman gap labelling for ergodic Jacobi matrices D Damanik, J Fillman, Z Zhang
Journal of Spectral Theory 13 (1), 297-318, 2023
3 2023 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
3 2022 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
1 2024 Positivity and continuity of Lyapunov exponents for one-frequency, smooth quasi-periodic Schrödinger operators Z Zhang
Northwestern University, 2014
1 2014 
David DamanikRobert L. Moody, Sr. Professor of Mathematics, Rice UniversityBestätigte E-Mail-Adresse bei rice.edu
