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Author ID: damanik.david Recent zbMATH articles by "Damanik, David"
Published as: Damanik, David; Damanik, D.
all top 5

Co-Authors

23 single-authored
28 Fillman, Jake
22 Gorodetskii, Anton Semenovich
18 Lenz, Daniel H.
13 Lukic, Milivoje
9 Avila, Artur
9 Killip, Rowan
8 Goldstein, Michael
8 Simon, Barry
8 Tcheremchantsev, Serguei
8 Yessen, William N.
6 Stolz, Gunter
6 Zhang, Zhenghe
5 Gan, Zheng
4 Baake, Michael
4 Boshernitzan, Michael D.
4 Embree, Mark
4 Guo, Shuzheng
4 Ong, Darren C.
4 Sukhtaiev, Selim
4 Yuditskii, Peter Meerovich
3 Fang, Licheng
3 Grimm, Uwe
3 Hundertmark, Dirk
3 Krüger, Helge
3 Sims, Robert L.
3 VandenBoom, Tom
3 Wang, Fengpeng
3 Zhou, Qi
2 Binder, Ilia A.
2 Bochi, Jairo
2 Bucaj, Valmir
2 Chaika, Jonathan
2 del Río Castillo, Rafael René
2 Gerbuz, Vitaly
2 Gesztesy, Fritz
2 Gohlke, Philipp
2 Jitomirskaya, Svetlana Yakovlevna
2 Johnson, Russell Allan
2 Lemm, Marius
2 Liu, Qinghui
2 Munger, Paul E.
2 Naboko, Serguei N.
2 Qu, Yanhui
2 Solomyak, Boris
2 Zamboni, Luca Quardo
2 Zhou, Zhe
1 Adamczewski, Boris
1 Adiceam, Faustin
1 Allouche, Jean-Paul Simon
1 Avron, Joseph E.
1 Berthé, Valérie
1 Bjerklöv, Kristian
1 Black, Adam
1 Breuer, Jonathan
1 Cassaigne, Julien
1 Eichinger, Benjamin
1 Emilsdottir, Iris
1 Erickson, Jon
1 Franco, Asaf L.
1 Gähler, Franz
1 Ghez, Jean-Michel
1 Haynes, Alan K.
1 Helman, Mark
1 Hinkle, Gerhardt
1 Julien, Antoine
1 Jun, Hyunkyu
1 Kellendonk, Johannes
1 Keller, Matthias
1 Kesten, Jacob
1 Landrigan, Michael
1 Last, Yoram
1 Li, Xianzhe
1 Malinovitch, Tal
1 Martínez-Finkelshtein, Andrei
1 Mei, May
1 Navas, Andrés
1 Pogorzelski, Felix
1 Pushnitski, Alexander B.
1 Raymond, Laurent
1 Remling, Christian
1 Sadun, Lorenzo A.
1 Schlag, Wilhelm
1 Smirnova-Nagnibeda, Tatiana
1 Stollmann, Peter
1 Sütő, András
1 Teschl, Gerald
1 Vance, Robert
1 Voda, Mircea
1 Volberg, Alexander Lvovich
1 Vu, Alan
1 Wang, Chunyi
1 Weiss, Barak
1 You, Jiangong
1 Young, Giorgio
1 Zare, Douglas
1 Zhang, Meirong
all top 5

Serials

18 Communications in Mathematical Physics
16 Journal of Functional Analysis
9 Annales Henri Poincaré
9 Oberwolfach Reports
9 Journal of Spectral Theory
7 Duke Mathematical Journal
6 Journal of Approximation Theory
5 Inventiones Mathematicae
4 Letters in Mathematical Physics
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
3 Israel Journal of Mathematics
3 Journal d’Analyse Mathématique
3 Journal of Mathematical Analysis and Applications
3 Mathematische Annalen
3 IMRN. International Mathematics Research Notices
3 Geometric and Functional Analysis. GAFA
2 Advances in Mathematics
2 European Journal of Combinatorics
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Notices of the American Mathematical Society
2 Discrete and Continuous Dynamical Systems
2 Journal of the European Mathematical Society (JEMS)
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Helvetica Physica Acta
1 Journal of Statistical Physics
1 Nonlinearity
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Publications Mathématiques
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Theoretical Computer Science
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 Ergodic Theory and Dynamical Systems
1 Discrete & Computational Geometry
1 Journal of Dynamics and Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
1 Mathematical Research Letters
1 Annals of Mathematics. Second Series
1 Communications on Pure and Applied Analysis
1 Surveys in Approximation Theory (SAT)
1 Graduate Studies in Mathematics
1 Journal of Modern Dynamics
1 Operators and Matrices
1 Electronic Research Announcements in Mathematical Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Mathematics
1 Journal of Fractal Geometry
1 Arnold Mathematical Journal

Publications by Year

Citations contained in zbMATH Open

139 Publications have been cited 2,110 times in 918 Documents Cited by Year
The analytic theory of matrix orthogonal polynomials. Zbl 1193.42097
Damanik, David; Pushnitski, Alexander; Simon, Barry
106
2008
Palindrome complexity. Zbl 1064.68074
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David
68
2003
Schrödinger operators with dynamically defined potentials. Zbl 06823048
Damanik, David
67
2017
Perturbations of orthogonal polynomials with periodic recursion coefficients. Zbl 1194.47031
Damanik, David; Killip, Rowan; Simon, Barry
59
2010
Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity. Zbl 1045.81024
Damanik, David; Killip, Rowan; Lenz, Daniel
58
2000
Localization for one-dimensional, continuum, Bernoulli-Anderson models. Zbl 1107.82025
Damanik, David; Sims, Robert; Stolz, Günter
50
2002
Multi-scale analysis implies strong dynamical localization. Zbl 0976.60064
Damanik, D.; Stollmann, P.
44
2001
Uniform spectral properties of one-dimensional quasicrystals. I: Absence of eigenvalues. Zbl 0962.81012
Damanik, David; Lenz, Daniel
41
1999
The fractal dimension of the spectrum of the Fibonacci Hamiltonian. Zbl 1192.81151
Damanik, D.; Embree, M.; Gorodetski, A.; Tcheremchantsev, S.
39
2008
Gordon-type arguments in the spectral theory of one-dimensional quasicrystals. Zbl 0989.81025
Damanik, David
38
2000
The index of Sturmian sequences. Zbl 1002.11020
Damanik, David; Lenz, Daniel
36
2002
A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem. Zbl 1118.37009
Damanik, David; Lenz, Daniel
35
2006
Spectral properties of Schrödinger operators arising in the study of quasicrystals. Zbl 1378.81031
Damanik, David; Embree, Mark; Gorodetski, Anton
35
2015
Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian. Zbl 1232.81016
Damanik, David; Gorodetski, Anton
34
2011
Power-law bounds on transfer matrices and quantum dynamics in one dimension. Zbl 1033.81032
Damanik, David; Tcheremchantsev, Serguei
33
2003
Upper bounds in quantum dynamics. Zbl 1114.81036
Damanik, David; Tcheremchantsev, Serguei
32
2007
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
31
2019
The Fibonacci Hamiltonian. Zbl 1359.81108
Damanik, David; Gorodetski, Anton; Yessen, William
29
2016
Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling. Zbl 1149.47021
Avila, Artur; Damanik, David
28
2008
Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts. Zbl 1165.37012
Avila, Artur; Bochi, Jairo; Damanik, David
28
2009
Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems. Zbl 1332.82027
Damanik, David; Lukic, Milivoje; Yessen, William
28
2015
Jost functions and Jost solutions for Jacobi matrices. I: A necessary and sufficient condition for Szegő asymptotics. Zbl 1122.47029
Damanik, David; Simon, Barry
27
2006
Lyapunov exponents and spectral analysis of ergodic Schrödinger operators: a survey of Kotani theory and its applications. Zbl 1130.82018
Damanik, David
27
2007
Variational estimates for discrete Schrödinger operators with potentials of indefinite sign. Zbl 1052.47027
Damanik, D.; Hundertmark, D.; Killip, R.; Simon, B.
27
2003
Generic singular spectrum for ergodic Schrödinger operators. Zbl 1102.82012
Avila, Artur; Damanik, David
26
2005
Hyperbolicity of the trace map for the weakly coupled Fibonacci Hamiltonian. Zbl 1154.82312
Damanik, David; Gorodetski, Anton
25
2009
Almost periodicity in time of solutions of the KdV equation. Zbl 1406.35325
Binder, Ilia; Damanik, David; Goldstein, Michael; Lukic, Milivoje
23
2018
Local symmetries in the period-doubling sequence. Zbl 0943.68127
Damanik, David
22
2000
Uniform spectral properties of one-dimensional quasicrystals. II: The Lyapunov exponent. Zbl 1044.81036
Damanik, David; Lenz, Daniel
22
1999
Half-line Schrödinger operators with no bound states. Zbl 1081.47027
Damanik, David; Killip, Rowan
22
2004
Jost functions and Jost solutions for Jacobi matrices. II: Decay and analyticity. Zbl 1122.47030
Damanik, David; Simon, Barry
21
2006
Strictly ergodic subshifts and associated operators. Zbl 1130.82017
Damanik, David
21
2007
On the inverse spectral problem for the quasi-periodic Schrödinger equation. Zbl 1296.35168
Damanik, David; Goldstein, Michael
21
2014
Characterizations of uniform hyperbolicity and spectra of CMV matrices. Zbl 1366.37077
Yessen, William; Lukic, Milivoje; Fillman, Jake; Damanik, David
21
2016
\(\alpha\)-continuity properties of one-dimensional quasicrystals. Zbl 0907.34073
Damanik, David
20
1998
On the existence and uniqueness of global solutions for the KdV equation with quasi-periodic initial data. Zbl 1342.35300
Damanik, David; Goldstein, Michael
20
2016
Dynamics of unitary operators. Zbl 1321.47076
Damanik, David; Fillman, Jake; Vance, Robert
20
2014
Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. Zbl 1122.47028
Damanik, David; Lenz, Daniel
19
2006
Opening gaps in the spectrum of strictly ergodic Schrödinger operators. Zbl 1263.37007
Avila, Artur; Bochi, Jairo; Damanik, David
19
2012
Substitution dynamical systems: characterization of linear repetitivity and applications. Zbl 1094.37007
Damanik, David; Lenz, Daniel
19
2006
Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117
Damanik, David; Gorodetski, Anton; Solomyak, Boris
19
2015
A general description of quantum dynamical spreading over an orthonormal basis and applications to Schrödinger operators. Zbl 1198.81085
Damanik, David; Tcheremchantsev, Serguei
18
2010
Power-law bounds on transfer matrices and quantum dynamics in one dimension. II. Zbl 1059.81055
Damanik, David; Sütő, András; Tcheremchantsev, Serguei
17
2004
Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices. Zbl 1332.81066
Damanik, David; Fillman, Jake; Ong, Darren C.
17
2016
Powers in Sturmian sequences. Zbl 1030.68068
Damanik, David; Lenz, Daniel
17
2003
Spectral properties of limit-periodic Schrödinger operators. Zbl 1242.47023
Damanik, David; Gan, Zheng
16
2011
Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators. Zbl 1049.47032
Damanik, David; Hundertmark, Dirk; Simon, Barry
16
2003
Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications. Zbl 1291.33010
Damanik, David; Munger, Paul; Yessen, William N.
16
2013
Limit-periodic Schrödinger operators with uniformly localized eigenfunctions. Zbl 1314.47053
Damanik, David; Gan, Zheng
16
2011
Lower transport bounds for one-dimensional continuum Schrödinger operators. Zbl 1116.34066
Damanik, David; Lenz, Daniel; Stolz, Günter
15
2006
Quantum dynamics via complex analysis methods: general upper bounds without time-averaging and tight lower bounds for the strongly coupled Fibonacci Hamiltonian. Zbl 1153.81011
Damanik, David; Tcheremchantsev, Serguei
15
2008
Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading. Zbl 1132.81018
Damanik, David; Tcheremchantsev, Serguei
14
2006
Singular density of states measure for subshift and quasi-periodic Schrödinger operators. Zbl 1303.47089
Avila, Artur; Damanik, David; Zhang, Zhenghe
14
2014
Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure. Zbl 1283.33005
Damanik, David; Munger, Paul; Yessen, William N.
14
2013
Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 1478.47023
Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea
14
2018
Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents. Zbl 1191.47058
Damanik, David; Gan, Zheng
13
2010
Combinatorial properties of Arnoux-Rauzy subshifts and applications to Schrödinger operators. Zbl 1081.81521
Damanik, D.; Zamboni, Luca Q.
13
2003
Singular continuous spectrum for a class of substitution Hamiltonians. Zbl 0930.11007
Damanik, David
13
1998
Generic continuous spectrum for ergodic Schrödinger operators. Zbl 1159.35016
Boshernitzan, Michael; Damanik, David
13
2008
Continuum Schrödinger operators associated with aperiodic subshifts. Zbl 1292.81052
Damanik, David; Fillman, Jake; Gorodetski, Anton
13
2014
The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous. Zbl 1350.34067
Damanik, David; Goldstein, Michael; Lukic, Milivoje
13
2016
Palindrome complexity bounds for primitive substitution sequences. Zbl 0962.68141
Damanik, David; Zare, Douglas
12
2000
Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum. Zbl 1432.34113
Damanik, David; Fillman, Jake; Lukic, Milivoje
12
2017
The density of states measure of the weakly coupled Fibonacci Hamiltonian. Zbl 1256.81035
Damanik, David; Gorodetski, Anton
12
2012
Limit-periodic Schrödinger operators with Lipschitz continuous IDS. Zbl 07020564
Damanik, David; Fillman, Jake
12
2019
The spectrum of the weakly coupled Fibonacci Hamiltonian. Zbl 1169.82009
Damanik, David; Gorodetski, Anton
11
2009
Schrödinger operators with few bound states. Zbl 1082.47029
Damanik, David; Killip, Rowan; Simon, Barry
11
2005
Schrödinger operators with many bound states. Zbl 1114.34065
Damanik, David; Remling, Christian
11
2007
Dynamical upper bounds for one-dimensional quasicrystals. Zbl 1077.81039
Damanik, David
11
2005
One-dimensional ergodic Schrödinger operators. I. General theory. Zbl 1504.58001
Damanik, David; Fillman, Jake
11
2022
Substitution Hamiltonians with bounded trace map orbits. Zbl 0996.37011
Damanik, David
10
2000
An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators. Zbl 1344.47021
Damanik, David; Gorodetski, Anton
10
2016
Uniform singular continuous spectrum for the period doubling Hamiltonian. Zbl 1002.47015
Damanik, David
9
2001
Linear repetitivity. I: Uniform subadditive ergodic theorems and applications. Zbl 1182.37020
Damanik, D.; Lenz, D.
9
2001
The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations. Zbl 1359.34095
Damanik, David; Goldstein, Michael; Lukic, Milivoje
9
2017
Anderson localization for quasi-periodic CMV matrices and quantum walks. Zbl 1462.35316
Wang, Fengpeng; Damanik, David
9
2019
Unbounded Jacobi matrices at critical coupling. Zbl 1120.47020
Damanik, David; Naboko, Serguei
8
2007
Singular continuous spectrum for the period doubling Hamiltonian on a set of full measure. Zbl 0907.34074
Damanik, David
8
1998
Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators. Zbl 1084.34075
Damanik, David; Killip, Rowan; Simon, Barry
8
2004
Uniform Szegő cocycles over strictly ergodic subshifts. Zbl 1108.37002
Damanik, David; Lenz, Daniel
8
2007
A version of Gordon’s theorem for multi-dimensional Schrödinger operators. Zbl 1062.47038
Damanik, David
8
2004
Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials. Zbl 1173.81315
Damanik, David; Lenz, Daniel
8
2003
Localization for discrete one-dimensional random word models. Zbl 1043.47032
Damanik, David; Sims, Robert; Stolz, Günter
8
2004
Uniform hyperbolicity for Szegő cocycles and applications to random CMV matrices and the Ising model. Zbl 1325.33007
Damanik, David; Fillman, Jake; Lukic, Milivoje; Yessen, William
8
2015
Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces. Zbl 1337.37037
Damanik, David; Yuditskii, Peter
8
2016
Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line. Zbl 1342.82120
Damanik, David; Erickson, Jon; Fillman, Jake; Hinkle, Gerhardt; Vu, Alan
8
2016
Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian. Zbl 1276.81059
Damanik, David; Gorodetski, Anton
8
2013
Bound states of discrete Schrödinger operators with super-critical inverse square potentials. Zbl 1110.47019
Damanik, David; Teschl, Gerald
7
2007
Ergodic potentials with a discontinuous sampling function are non-deterministic. Zbl 1090.47021
Damanik, David; Killip, Rowan
7
2005
Singular continuous spectrum for a class of substitution Hamiltonians. II. Zbl 1044.81035
Damanik, David
7
2000
A palindromic half-line criterion for absence of eigenvalues and applications to substitution Hamiltonians. Zbl 1092.81519
Damanik, D.; Ghez, J.-M.; Raymond, L.
7
2001
Almost everywhere positivity of the Lyapunov exponent for the doubling map. Zbl 1087.47037
Damanik, David; Killip, Rowan
7
2005
On anomalous Lieb-Robinson bounds for the Fibonacci XY chain. Zbl 1350.81009
Damanik, David; Lemm, Marius; Lukic, Milivoje; Yessen, William
7
2016
From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037
Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei
7
2016
Transport exponents of Sturmian Hamiltonians. Zbl 1323.82038
Damanik, David; Gorodetski, Anton; Liu, Qing-Hui; Qu, Yan-Hui
7
2015
Linearly recurrent circle map subshifts and an application to Schrödinger operators. Zbl 1023.47019
Adamczewski, B.; Damanik, D.
7
2002
Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization. Zbl 1285.35005
Damanik, David; Gan, Zheng
7
2013
Half-line eigenfunction estimates and purely singular continuous spectrum of zero Lebesgue measure. Zbl 1047.81021
Damanik, David; Lenz, Daniel
6
2004
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
Multidimensional almost-periodic Schrödinger operators with Cantor spectrum. Zbl 1474.34608
Damanik, David; Fillman, Jake; Gorodetski, Anton
6
2019
Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent. Zbl 1511.37038
Avila, Artur; Damanik, David; Zhang, Zhenghe
3
2023
The spectrum of Schrödinger operators with randomly perturbed ergodic potentials. Zbl 07680038
Avila, Artur; Damanik, David; Gorodetski, Anton
2
2023
The almost sure essential spectrum of the doubling map model is connected. Zbl 07687744
Damanik, David; Fillman, Jake
1
2023
One-dimensional ergodic Schrödinger operators. I. General theory. Zbl 1504.58001
Damanik, David; Fillman, Jake
11
2022
Must the spectrum of a random Schrödinger operator contain an interval? Zbl 07565222
Damanik, David; Gorodetski, Anton
5
2022
Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients. Zbl 07578588
Li, Long; Damanik, David; Zhou, Qi
4
2022
Zero measure spectrum for multi-frequency Schrödinger operators. Zbl 1518.47054
Chaika, Jon; Damanik, David; Fillman, Jake; Gohlke, Philipp
3
2022
Spectral characteristics of Schrödinger operators generated by product systems. Zbl 1528.35037
Damanik, David; Fillman, Jake; Gohlke, Philipp
2
2022
Cantor spectrum for CMV matrices with almost periodic Verblunsky coefficients. Zbl 07605366
Li, Long; Damanik, David; Zhou, Qi
2
2022
Subordinacy theory for extended CMV matrices. Zbl 1503.47042
Guo, Shuzheng; Damanik, David; Ong, Darren C.
2
2022
The rotation number for almost periodic Schrödinger operators with \(\delta \)-potentials. Zbl 1493.34232
Damanik, David; Zhou, Zhe
1
2022
Multidimensional Schrödinger operators whose spectrum features a half-line and a Cantor set. Zbl 1460.81026
Damanik, David; Fillman, Jake; Gorodetski, Anton
3
2021
Random Hamiltonians with arbitrary point interactions in one dimension. Zbl 1521.47071
Damanik, David; Fillman, Jake; Helman, Mark; Kesten, Jacob; Sukhtaiev, Selim
1
2021
Localization for Anderson models on metric and discrete tree graphs. Zbl 1436.05027
Damanik, David; Fillman, Jake; Sukhtaiev, Selim
5
2020
Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients. Zbl 1466.37021
Fang, Licheng; Damanik, David; Guo, Shuzheng
4
2020
Zero measure and singular continuous spectra for quantum graphs. Zbl 1442.05124
Damanik, David; Fang, Licheng; Sukhtaiev, Selim
4
2020
Spectral properties of limit-periodic operators. Zbl 1515.47047
Damanik, David; Fillman, Jake
3
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
31
2019
Limit-periodic Schrödinger operators with Lipschitz continuous IDS. Zbl 07020564
Damanik, David; Fillman, Jake
12
2019
Anderson localization for quasi-periodic CMV matrices and quantum walks. Zbl 1462.35316
Wang, Fengpeng; Damanik, David
9
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
Multidimensional almost-periodic Schrödinger operators with Cantor spectrum. Zbl 1474.34608
Damanik, David; Fillman, Jake; Gorodetski, Anton
6
2019
Anderson localization for radial tree graphs with random branching numbers. Zbl 1481.05140
Damanik, David; Sukhtaiev, Selim
2
2019
Almost periodicity in time of solutions of the KdV equation. Zbl 1406.35325
Binder, Ilia; Damanik, David; Goldstein, Michael; Lukic, Milivoje
23
2018
Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 1478.47023
Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea
14
2018
Almost periodicity in time of solutions of the Toda lattice. Zbl 1396.37067
Binder, Ilia; Damanik, David; Lukic, Milivoje; VandenBoom, Tom
4
2018
Spectral transitions for the square Fibonacci Hamiltonian. Zbl 1503.47059
Damanik, David; Gorodetski, Anton
2
2018
Schrödinger operators with dynamically defined potentials. Zbl 06823048
Damanik, David
67
2017
Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum. Zbl 1432.34113
Damanik, David; Fillman, Jake; Lukic, Milivoje
12
2017
The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations. Zbl 1359.34095
Damanik, David; Goldstein, Michael; Lukic, Milivoje
9
2017
A multi-scale analysis scheme on abelian groups with an application to operators dual to Hill’s equation. Zbl 1355.35053
Damanik, David; Goldstein, Michael; Lukic, Milivoje
4
2017
The Fibonacci Hamiltonian. Zbl 1359.81108
Damanik, David; Gorodetski, Anton; Yessen, William
29
2016
Characterizations of uniform hyperbolicity and spectra of CMV matrices. Zbl 1366.37077
Yessen, William; Lukic, Milivoje; Fillman, Jake; Damanik, David
21
2016
On the existence and uniqueness of global solutions for the KdV equation with quasi-periodic initial data. Zbl 1342.35300
Damanik, David; Goldstein, Michael
20
2016
Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices. Zbl 1332.81066
Damanik, David; Fillman, Jake; Ong, Darren C.
17
2016
The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous. Zbl 1350.34067
Damanik, David; Goldstein, Michael; Lukic, Milivoje
13
2016
An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators. Zbl 1344.47021
Damanik, David; Gorodetski, Anton
10
2016
Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces. Zbl 1337.37037
Damanik, David; Yuditskii, Peter
8
2016
Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line. Zbl 1342.82120
Damanik, David; Erickson, Jon; Fillman, Jake; Hinkle, Gerhardt; Vu, Alan
8
2016
On anomalous Lieb-Robinson bounds for the Fibonacci XY chain. Zbl 1350.81009
Damanik, David; Lemm, Marius; Lukic, Milivoje; Yessen, William
7
2016
From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037
Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei
7
2016
What is \(\ldots \) aperiodic order? Zbl 1352.52028
Baake, Michael; Damanik, David; Grimm, Uwe
5
2016
Open problems and conjectures related to the theory of mathematical quasicrystals. Zbl 1349.52020
Adiceam, Faustin; Damanik, David; Gähler, Franz; Grimm, Uwe; Haynes, Alan; Julien, Antoine; Navas, Andrés; Sadun, Lorenzo; Weiss, Barak
3
2016
Spectral properties of Schrödinger operators arising in the study of quasicrystals. Zbl 1378.81031
Damanik, David; Embree, Mark; Gorodetski, Anton
35
2015
Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems. Zbl 1332.82027
Damanik, David; Lukic, Milivoje; Yessen, William
28
2015
Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117
Damanik, David; Gorodetski, Anton; Solomyak, Boris
19
2015
Uniform hyperbolicity for Szegő cocycles and applications to random CMV matrices and the Ising model. Zbl 1325.33007
Damanik, David; Fillman, Jake; Lukic, Milivoje; Yessen, William
8
2015
Transport exponents of Sturmian Hamiltonians. Zbl 1323.82038
Damanik, David; Gorodetski, Anton; Liu, Qing-Hui; Qu, Yan-Hui
7
2015
Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian. Zbl 1310.81065
Damanik, David; Gorodetski, Anton
3
2015
Almost sure frequency independence of the dimension of the spectrum of Sturmian Hamiltonians. Zbl 1327.47029
Damanik, David; Gorodetski, Anton
2
2015
On the inverse spectral problem for the quasi-periodic Schrödinger equation. Zbl 1296.35168
Damanik, David; Goldstein, Michael
21
2014
Dynamics of unitary operators. Zbl 1321.47076
Damanik, David; Fillman, Jake; Vance, Robert
20
2014
Singular density of states measure for subshift and quasi-periodic Schrödinger operators. Zbl 1303.47089
Avila, Artur; Damanik, David; Zhang, Zhenghe
14
2014
Continuum Schrödinger operators associated with aperiodic subshifts. Zbl 1292.81052
Damanik, David; Fillman, Jake; Gorodetski, Anton
13
2014
Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications. Zbl 1291.33010
Damanik, David; Munger, Paul; Yessen, William N.
16
2013
Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure. Zbl 1283.33005
Damanik, David; Munger, Paul; Yessen, William N.
14
2013
Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian. Zbl 1276.81059
Damanik, David; Gorodetski, Anton
8
2013
Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization. Zbl 1285.35005
Damanik, David; Gan, Zheng
7
2013
Opening gaps in the spectrum of strictly ergodic Schrödinger operators. Zbl 1263.37007
Avila, Artur; Bochi, Jairo; Damanik, David
19
2012
The density of states measure of the weakly coupled Fibonacci Hamiltonian. Zbl 1256.81035
Damanik, David; Gorodetski, Anton
12
2012
Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian. Zbl 1232.81016
Damanik, David; Gorodetski, Anton
34
2011
Spectral properties of limit-periodic Schrödinger operators. Zbl 1242.47023
Damanik, David; Gan, Zheng
16
2011
Limit-periodic Schrödinger operators with uniformly localized eigenfunctions. Zbl 1314.47053
Damanik, David; Gan, Zheng
16
2011
A continuum version of the Kunz-Souillard approach to localization in one dimension. Zbl 1245.34084
Damanik, David; Stolz, Günter
5
2011
Perturbations of orthogonal polynomials with periodic recursion coefficients. Zbl 1194.47031
Damanik, David; Killip, Rowan; Simon, Barry
59
2010
A general description of quantum dynamical spreading over an orthonormal basis and applications to Schrödinger operators. Zbl 1198.81085
Damanik, David; Tcheremchantsev, Serguei
18
2010
Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents. Zbl 1191.47058
Damanik, David; Gan, Zheng
13
2010
Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts. Zbl 1165.37012
Avila, Artur; Bochi, Jairo; Damanik, David
28
2009
Hyperbolicity of the trace map for the weakly coupled Fibonacci Hamiltonian. Zbl 1154.82312
Damanik, David; Gorodetski, Anton
25
2009
The spectrum of the weakly coupled Fibonacci Hamiltonian. Zbl 1169.82009
Damanik, David; Gorodetski, Anton
11
2009
Schrödinger operators defined by interval-exchange transformations. Zbl 1184.81056
Chaika, Jon; Damanik, David; Krüger, Helge
5
2009
The repetition property for sequences on tori generated by polynomials or skew-shifts. Zbl 1186.37018
Boshernitzan, Michael; Damanik, David
4
2009
Almost everything about the Fibonacci operator. Zbl 1175.81090
Damanik, David
3
2009
Pinned repetitions in symbolic flows: preliminary results. Zbl 1184.37013
Boshernitzan, M.; Damanik, David
2
2009
Almost periodic Szegő cocycles with uniformly positive Lyapunov exponents. Zbl 1185.37063
Damanik, David; Krüger, Helge
1
2009
The analytic theory of matrix orthogonal polynomials. Zbl 1193.42097
Damanik, David; Pushnitski, Alexander; Simon, Barry
106
2008
The fractal dimension of the spectrum of the Fibonacci Hamiltonian. Zbl 1192.81151
Damanik, D.; Embree, M.; Gorodetski, A.; Tcheremchantsev, S.
39
2008
Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling. Zbl 1149.47021
Avila, Artur; Damanik, David
28
2008
Quantum dynamics via complex analysis methods: general upper bounds without time-averaging and tight lower bounds for the strongly coupled Fibonacci Hamiltonian. Zbl 1153.81011
Damanik, David; Tcheremchantsev, Serguei
15
2008
Generic continuous spectrum for ergodic Schrödinger operators. Zbl 1159.35016
Boshernitzan, Michael; Damanik, David
13
2008
Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations. Zbl 1259.37011
Bjerklöv, Kristian; Damanik, David; Johnson, Russell
4
2008
Upper bounds in quantum dynamics. Zbl 1114.81036
Damanik, David; Tcheremchantsev, Serguei
32
2007
Lyapunov exponents and spectral analysis of ergodic Schrödinger operators: a survey of Kotani theory and its applications. Zbl 1130.82018
Damanik, David
27
2007
Strictly ergodic subshifts and associated operators. Zbl 1130.82017
Damanik, David
21
2007
Schrödinger operators with many bound states. Zbl 1114.34065
Damanik, David; Remling, Christian
11
2007
Unbounded Jacobi matrices at critical coupling. Zbl 1120.47020
Damanik, David; Naboko, Serguei
8
2007
Uniform Szegő cocycles over strictly ergodic subshifts. Zbl 1108.37002
Damanik, David; Lenz, Daniel
8
2007
Bound states of discrete Schrödinger operators with super-critical inverse square potentials. Zbl 1110.47019
Damanik, David; Teschl, Gerald
7
2007
A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem. Zbl 1118.37009
Damanik, David; Lenz, Daniel
35
2006
Jost functions and Jost solutions for Jacobi matrices. I: A necessary and sufficient condition for Szegő asymptotics. Zbl 1122.47029
Damanik, David; Simon, Barry
27
2006
Jost functions and Jost solutions for Jacobi matrices. II: Decay and analyticity. Zbl 1122.47030
Damanik, David; Simon, Barry
21
2006
Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. Zbl 1122.47028
Damanik, David; Lenz, Daniel
19
2006
Substitution dynamical systems: characterization of linear repetitivity and applications. Zbl 1094.37007
Damanik, David; Lenz, Daniel
19
2006
Lower transport bounds for one-dimensional continuum Schrödinger operators. Zbl 1116.34066
Damanik, David; Lenz, Daniel; Stolz, Günter
15
2006
Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading. Zbl 1132.81018
Damanik, David; Tcheremchantsev, Serguei
14
2006
Verblunsky coefficients with Coulomb-type decay. Zbl 1100.42016
Damanik, David
3
2006
Generic singular spectrum for ergodic Schrödinger operators. Zbl 1102.82012
Avila, Artur; Damanik, David
26
2005
Schrödinger operators with few bound states. Zbl 1082.47029
Damanik, David; Killip, Rowan; Simon, Barry
11
2005
Dynamical upper bounds for one-dimensional quasicrystals. Zbl 1077.81039
Damanik, David
11
2005
Ergodic potentials with a discontinuous sampling function are non-deterministic. Zbl 1090.47021
Damanik, David; Killip, Rowan
7
2005
...and 39 more Documents
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Cited by 785 Authors

105 Damanik, David
34 Fillman, Jake
24 Simon, Barry
21 Lenz, Daniel H.
19 de Oliveira, César R.
19 Pelantová, Edita
18 Stolz, Gunter
17 Gorodetskii, Anton Semenovich
16 Jitomirskaya, Svetlana Yakovlevna
15 Avila, Artur
15 Ong, Darren C.
13 Lukic, Milivoje
11 Liu, Qinghui
11 Yuditskii, Peter Meerovich
11 Zamboni, Luca Quardo
10 Krüger, Helge
10 Shallit, Jeffrey Outlaw
10 Zhou, Qi
9 Carvalho, Silas L.
9 Choque Rivero, Abdon Eddy
9 Garza, Luis E.
9 Marcellán Español, Francisco
9 Qu, Yanhui
9 Rampersad, Narad
9 Román, Pablo Manuel
9 Zhang, Zhenghe
8 Chulaevsky, Victor
8 Eichinger, Benjamin
8 Germinet, François
8 Koelink, Erik
8 Masáková, Zuzana
8 Rouault, Alain
8 Zinchenko, Maxim
7 Beckus, Siegfried
7 Boumaza, Hakim
7 Christiansen, Jacob Stordal
7 Duarte, Pedro
7 Fici, Gabriele
7 Fuentes, Edinson
7 Grünbaum, Francisco Alberto
7 Guo, Shuzheng
7 Han, Rui
7 Klein, Silvius
7 Liu, Wencai
7 Naboko, Serguei N.
7 Nagel, Jan
7 Safronov, Oleg
7 Salo, Ville O.
7 Tcheremchantsev, Serguei
7 Velázquez, Luis
7 Yessen, William N.
7 You, Jiangong
7 Zhang, Shiwen
7 Zhao, Xin
6 Allouche, Jean-Paul Simon
6 Cai, Ao
6 Dvořáková, L’ubomíra
6 Frid, Anna Èduardovna
6 Gamboa, Fabrice
6 García-Ardila, Juan Carlos
6 Ge, Lingrui
6 Glen, Amy
6 Goldstein, Michael
6 Killip, Rowan
6 Klein, Abel
6 Kozhan, Rostyslav V.
6 Mañas, Manuel
6 Marin, Laurent
6 Remling, Christian
6 Shterenberg, Roman G.
6 Sims, Robert L.
5 Aloisio, Moacir
5 Bochi, Jairo
5 Breuer, Jonathan
5 Cassaigne, Julien
5 Cedzich, Christopher
5 Dette, Holger
5 Gan, Zheng
5 Kachkovskiy, Ilya V.
5 Karpeshina, Yulia E.
5 Korotyaev, Evgeny L.
5 Last, Yoram
5 Prado, Roberto A.
5 Shi, Yunfeng
5 Solomyak, Boris
5 Starosta, Štěpán
5 Świderski, Grzegorz
5 VandenBoom, Tom
5 Wang, Fengpeng
5 Wen, Zhi-Ying
5 Werner, Albert H.
4 Ambrož, Petr
4 Balková, L’ubomíra
4 Bezerra, Jamerson
4 Bikchentaev, Aĭrat Midkhatovich
4 Bjerklöv, Kristian
4 Boshernitzan, Michael D.
4 Branquinho, Amílcar José Pinto Lopes
4 Brlek, Srečko
4 Currie, James D.
...and 685 more Authors
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Cited in 186 Serials

73 Communications in Mathematical Physics
43 Journal of Mathematical Physics
41 Journal of Functional Analysis
41 Theoretical Computer Science
35 Annales Henri Poincaré
30 Journal of Mathematical Analysis and Applications
25 Journal of Approximation Theory
24 Proceedings of the American Mathematical Society
22 Journal of Spectral Theory
20 Advances in Mathematics
20 Ergodic Theory and Dynamical Systems
17 Journal of Statistical Physics
16 Letters in Mathematical Physics
15 Duke Mathematical Journal
15 Constructive Approximation
14 Journal d’Analyse Mathématique
14 Reviews in Mathematical Physics
13 Transactions of the American Mathematical Society
11 European Journal of Combinatorics
10 Journal of the European Mathematical Society (JEMS)
9 Nonlinearity
9 Inventiones Mathematicae
9 Journal of Dynamics and Differential Equations
9 Mathematical Physics, Analysis and Geometry
8 Integral Equations and Operator Theory
8 Linear Algebra and its Applications
8 RAIRO. Theoretical Informatics and Applications
7 Journal of Differential Equations
7 Advances in Applied Mathematics
7 Discrete and Continuous Dynamical Systems
6 Discrete Applied Mathematics
6 Discrete Mathematics
6 Journal of Computational and Applied Mathematics
6 Mathematische Annalen
6 International Journal of Foundations of Computer Science
6 Geometric and Functional Analysis. GAFA
5 Mathematische Zeitschrift
5 Journal of the American Mathematical Society
5 The Electronic Journal of Combinatorics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Complex Analysis and Operator Theory
5 Operators and Matrices
4 Mathematische Nachrichten
4 Monatshefte für Mathematik
4 Annals of Mathematics. Second Series
4 Lobachevskii Journal of Mathematics
4 Acta Mathematica Scientia. Series B. (English Edition)
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Physics A: Mathematical and Theoretical
4 Random Matrices: Theory and Applications
4 Bulletin of Mathematical Sciences
3 Communications on Pure and Applied Mathematics
3 Israel Journal of Mathematics
3 Linear and Multilinear Algebra
3 Physica D
3 Probability Theory and Related Fields
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Indagationes Mathematicae. New Series
3 Russian Mathematics
3 Journal of Mathematical Sciences (New York)
3 Regular and Chaotic Dynamics
3 Journal of High Energy Physics
3 Communications on Pure and Applied Analysis
3 Mediterranean Journal of Mathematics
3 Oberwolfach Reports
3 Discrete and Continuous Dynamical Systems. Series S
3 RAIRO. Theoretical Informatics and Applications
2 Information Processing Letters
2 Mathematical Notes
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2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Arkiv för Matematik
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Functional Analysis and its Applications
2 Journal of Multivariate Analysis
2 Journal of Statistical Planning and Inference
2 Numerische Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Studies in Applied Mathematics
2 Acta Applicandae Mathematicae
2 Information and Computation
2 SIAM Journal on Matrix Analysis and Applications
2 SIAM Journal on Mathematical Analysis
2 Russian Journal of Mathematical Physics
2 Random Operators and Stochastic Equations
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Sbornik: Mathematics
2 The Ramanujan Journal
2 Discrete Mathematics and Theoretical Computer Science. DMTCS
2 Journal of Integer Sequences
2 Communications in Nonlinear Science and Numerical Simulation
2 Dynamical Systems
2 Computational Methods and Function Theory
2 Journal of Discrete Algorithms
2 Frontiers of Mathematics in China
2 Analysis & PDE
2 Probability Surveys
2 Analysis and Mathematical Physics
...and 86 more Serials
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Cited in 51 Fields

366 Operator theory (47-XX)
231 Quantum theory (81-XX)
223 Dynamical systems and ergodic theory (37-XX)
171 Partial differential equations (35-XX)
149 Statistical mechanics, structure of matter (82-XX)
129 Computer science (68-XX)
118 Ordinary differential equations (34-XX)
100 Harmonic analysis on Euclidean spaces (42-XX)
76 Probability theory and stochastic processes (60-XX)
72 Difference and functional equations (39-XX)
70 Special functions (33-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
43 Number theory (11-XX)
41 Measure and integration (28-XX)
32 Functions of a complex variable (30-XX)
27 Functional analysis (46-XX)
22 Combinatorics (05-XX)
22 Convex and discrete geometry (52-XX)
16 Numerical analysis (65-XX)
15 Global analysis, analysis on manifolds (58-XX)
9 Group theory and generalizations (20-XX)
8 Real functions (26-XX)
8 Approximations and expansions (41-XX)
7 Topological groups, Lie groups (22-XX)
7 Integral transforms, operational calculus (44-XX)
7 Statistics (62-XX)
7 Mechanics of particles and systems (70-XX)
6 Algebraic geometry (14-XX)
5 Associative rings and algebras (16-XX)
5 Potential theory (31-XX)
4 General and overarching topics; collections (00-XX)
4 Sequences, series, summability (40-XX)
4 General topology (54-XX)
4 Optics, electromagnetic theory (78-XX)
3 Mathematical logic and foundations (03-XX)
3 Abstract harmonic analysis (43-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
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1 \(K\)-theory (19-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Fluid mechanics (76-XX)
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1 Relativity and gravitational theory (83-XX)
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