Edit Profile Damanik, David Compute Distance To: Compute Author ID: damanik.david Published as: Damanik, D.; Damanik, David Documents Indexed: 138 Publications since 1997 all top 5 Co-Authors 19 single-authored 17 Gorodetski, Anton 16 Lenz, Daniel H. 12 Fillman, Jake 10 Lukic, Milivoje 9 Killip, Rowan 8 Goldstein, Michael 8 Simon, Barry 7 Tcheremchantsev, Serguei 7 Yessen, William N. 6 Avila Cordeiro de Melo, Artur 6 Stolz, Gunter 5 Gan, Zheng 4 Baake, Michael 3 Boshernitzan, Michael D. 3 Grimm, Uwe 3 Hundertmark, Dirk 3 Krüger, Helge 3 Sims, Robert L. 3 Sukhtaiev, Selim 3 VandenBoom, Tom 3 Wang, Fengpeng 3 Zhang, Zhenghe 2 Binder, Ilia A. 2 Bochi, Jairo 2 Bucaj, Valmir 2 Embree, Mark 2 Fang, Licheng 2 Gerbuz, Vitaly 2 Gesztesy, Fritz 2 Jitomirskaya, Svetlana Ya. 2 Johnson, Russell Allan 2 Munger, Paul E. 2 Solomyak, Boris 2 Yuditskii, Peter Meerovich 1 Adamczewski, Boris 1 Adiceam, Faustin 1 Allouche, Jean-Paul Simon 1 Avron, Joseph E. 1 Berthé, Valérie 1 Bjerklöv, Kristian 1 Breuer, Jonathan 1 Cassaigne, Julien 1 Chaika, Jonathan 1 del Río Castillo, Rafael René 1 Erickson, Jon 1 Gähler, Franz 1 Ghez, Jean-Michel 1 Guo, Shuzheng 1 Haynes, Alan K. 1 Hinkle, Gerhardt 1 Julien, Antoine 1 Kellendonk, Johannes 1 Landrigan, Michael 1 Last, Yoram 1 Lemm, Marius 1 Liu, Qinghui 1 Martínez-Finkelshtein, Andrei 1 Naboko, Serguei N. 1 Navas, Andrés 1 Ong, Darren C. 1 Pushnitski, Alexander B. 1 Qu, Yanhui 1 Raymond, Laurent 1 Remling, Christian 1 Sadun, Lorenzo A. 1 Schlag, Wilhelm 1 Stollmann, Peter 1 Sütő, András 1 Teschl, Gerald 1 Vance, Robert 1 Voda, Mircea 1 Vu, Alan 1 Weiss, Barak 1 Zamboni, Luca Quardo 1 Zare, Douglas all top 5 Serials 15 Communications in Mathematical Physics 13 Journal of Functional Analysis 8 Oberwolfach Reports 7 Duke Mathematical Journal 7 Annales Henri Poincaré 6 Journal of Approximation Theory 4 Letters in Mathematical Physics 4 Inventiones Mathematicae 4 Proceedings of the American Mathematical Society 4 Journal of Spectral Theory 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Analysis and Applications 3 Transactions of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Mathematische Annalen 2 European Journal of Combinatorics 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 Geometric and Functional Analysis. GAFA 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 für die Reine und Angewandte Mathematik 1 Theoretical Computer Science 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Ergodic Theory and Dynamical Systems 1 Discrete & Computational Geometry 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 Journal of Modern Dynamics 1 Electronic Research Announcements in Mathematical Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Fractal Geometry 1 Arnold Mathematical Journal all top 5 Fields 79 Operator theory (47-XX) 65 Quantum theory (81-XX) 43 Dynamical systems and ergodic theory (37-XX) 31 Statistical mechanics, structure of matter (82-XX) 29 Ordinary differential equations (34-XX) 24 Partial differential equations (35-XX) 19 Difference and functional equations (39-XX) 8 General and overarching topics; collections (00-XX) 7 Number theory (11-XX) 7 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Convex and discrete geometry (52-XX) 7 Computer science (68-XX) 5 Special functions (33-XX) 5 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 121 Publications have been cited 1,508 times in 646 Documents Cited by ▼ Year ▼ The analytic theory of matrix orthogonal polynomials. Zbl 1193.42097Damanik, David; Pushnitski, Alexander; Simon, Barry 74 2008 Palindrome complexity. Zbl 1064.68074Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David 54 2003 Perturbations of orthogonal polynomials with periodic recursion coefficients. Zbl 1194.47031Damanik, David; Killip, Rowan; Simon, Barry 49 2010 Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity. Zbl 1045.81024Damanik, David; Killip, Rowan; Lenz, Daniel 49 2000 Localization for one-dimensional, continuum, Bernoulli-Anderson models. Zbl 1107.82025Damanik, David; Sims, Robert; Stolz, Günter 37 2002 Uniform spectral properties of one-dimensional quasicrystals. I: Absence of eigenvalues. Zbl 0962.81012Damanik, David; Lenz, Daniel 36 1999 Multi-scale analysis implies strong dynamical localization. Zbl 0976.60064Damanik, D.; Stollmann, P. 35 2001 The fractal dimension of the spectrum of the Fibonacci Hamiltonian. Zbl 1192.81151Damanik, D.; Embree, M.; Gorodetski, A.; Tcheremchantsev, S. 32 2008 Gordon-type arguments in the spectral theory of one-dimensional quasicrystals. Zbl 0989.81025Damanik, David 31 2000 The index of Sturmian sequences. Zbl 1002.11020Damanik, David; Lenz, Daniel 29 2002 Power-law bounds on transfer matrices and quantum dynamics in one dimension. Zbl 1033.81032Damanik, David; Tcheremchantsev, Serguei 28 2003 Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian. Zbl 1232.81016Damanik, David; Gorodetski, Anton 26 2011 Upper bounds in quantum dynamics. Zbl 1114.81036Damanik, David; Tcheremchantsev, Serguei 25 2007 Schrödinger operators with dynamically defined potentials. Zbl 06823048Damanik, David 24 2017 A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem. Zbl 1118.37009Damanik, David; Lenz, Daniel 24 2006 Spectral properties of Schrödinger operators arising in the study of quasicrystals. Zbl 1378.81031Damanik, David; Embree, Mark; Gorodetski, Anton 22 2015 Hyperbolicity of the trace map for the weakly coupled Fibonacci Hamiltonian. Zbl 1154.82312Damanik, David; Gorodetski, Anton 22 2009 Generic singular spectrum for ergodic Schrödinger operators. Zbl 1102.82012Avila, Artur; Damanik, David 21 2005 Uniform spectral properties of one-dimensional quasicrystals. II: The Lyapunov exponent. Zbl 1044.81036Damanik, David; Lenz, Daniel 20 1999 Lyapunov exponents and spectral analysis of ergodic Schrödinger operators: a survey of Kotani theory and its applications. Zbl 1130.82018Damanik, David 19 2007 Jost functions and Jost solutions for Jacobi matrices. I: A necessary and sufficient condition for Szegő asymptotics. Zbl 1122.47029Damanik, David; Simon, Barry 19 2006 \(\alpha\)-continuity properties of one-dimensional quasicrystals. Zbl 0907.34073Damanik, David 19 1998 The Fibonacci Hamiltonian. Zbl 1359.81108Damanik, David; Gorodetski, Anton; Yessen, William 18 2016 Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts. Zbl 1165.37012Avila, Artur; Bochi, Jairo; Damanik, David 18 2009 Variational estimates for discrete Schrödinger operators with potentials of indefinite sign. Zbl 1052.47027Damanik, D.; Hundertmark, D.; Killip, R.; Simon, B. 18 2003 Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems. Zbl 1332.82027Damanik, David; Lukic, Milivoje; Yessen, William 17 2015 Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling. Zbl 1149.47021Avila, Artur; Damanik, David 17 2008 Strictly ergodic subshifts and associated operators. Zbl 1130.82017Damanik, David 17 2007 Jost functions and Jost solutions for Jacobi matrices. II: Decay and analyticity. Zbl 1122.47030Damanik, David; Simon, Barry 17 2006 Half-line Schrödinger operators with no bound states. Zbl 1081.47027Damanik, David; Killip, R. Rowan 17 2004 Power-law bounds on transfer matrices and quantum dynamics in one dimension. II. Zbl 1059.81055Damanik, David; Sütő, András; Tcheremchantsev, Serguei 17 2004 On the inverse spectral problem for the quasi-periodic Schrödinger equation. Zbl 1296.35168Damanik, David; Goldstein, Michael 15 2014 Dynamics of unitary operators. Zbl 1321.47076Damanik, David; Fillman, Jake; Vance, Robert 14 2014 Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications. Zbl 1291.33010Damanik, David; Munger, Paul; Yessen, William N. 14 2013 Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. Zbl 1122.47028Damanik, David; Lenz, Daniel 14 2006 Lower transport bounds for one-dimensional continuum Schrödinger operators. Zbl 1116.34066Damanik, David; Lenz, Daniel; Stolz, Günter 14 2006 Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators. Zbl 1049.47032Damanik, David; Hundertmark, Dirk; Simon, Barry 14 2003 Powers in Sturmian sequences. Zbl 1030.68068Damanik, David; Lenz, Daniel 14 2003 Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices. Zbl 1332.81066Damanik, David; Fillman, Jake; Ong, Darren C. 13 2016 Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117Damanik, David; Gorodetski, Anton; Solomyak, Boris 13 2015 Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure. Zbl 1283.33005Damanik, David; Munger, Paul; Yessen, William N. 13 2013 Limit-periodic Schrödinger operators with uniformly localized eigenfunctions. Zbl 1314.47053Damanik, David; Gan, Zheng 13 2011 Spectral properties of limit-periodic Schrödinger operators. Zbl 1242.47023Damanik, David; Gan, Zheng 13 2011 A general description of quantum dynamical spreading over an orthonormal basis and applications to Schrödinger operators. Zbl 1198.81085Damanik, David; Tcheremchantsev, Serguei 13 2010 Generic continuous spectrum for ergodic Schrödinger operators. Zbl 1159.35016Boshernitzan, Michael; Damanik, David 13 2008 Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading. Zbl 1132.81018Damanik, David; Tcheremchantsev, Serguei 13 2006 Local symmetries in the period-doubling sequence. Zbl 0943.68127Damanik, David 13 2000 Characterizations of uniform hyperbolicity and spectra of CMV matrices. Zbl 1366.37077Yessen, William; Lukic, Milivoje; Fillman, Jake; Damanik, David 12 2016 On the existence and uniqueness of global solutions for the KdV equation with quasi-periodic initial data. Zbl 1342.35300Damanik, David; Goldstein, Michael 12 2016 Quantum dynamics via complex analysis methods: general upper bounds without time-averaging and tight lower bounds for the strongly coupled Fibonacci Hamiltonian. Zbl 1153.81011Damanik, David; Tcheremchantsev, Serguei 12 2008 Singular continuous spectrum for a class of substitution Hamiltonians. Zbl 0930.11007Damanik, David 12 1998 The density of states measure of the weakly coupled Fibonacci Hamiltonian. Zbl 1256.81035Damanik, David; Gorodetski, Anton 11 2012 Opening gaps in the spectrum of strictly ergodic Schrödinger operators. Zbl 1263.37007Avila, Artur; Bochi, Jairo; Damanik, David 11 2012 Substitution dynamical systems: characterization of linear repetitivity and applications. Zbl 1094.37007Damanik, David; Lenz, Daniel 11 2006 Dynamical upper bounds for one-dimensional quasicrystals. Zbl 1077.81039Damanik, David 11 2005 Combinatorial properties of Arnoux-Rauzy subshifts and applications to Schrödinger operators. Zbl 1081.81521Damanik, D.; Zamboni, Luca Q. 11 2003 Palindrome complexity bounds for primitive substitution sequences. Zbl 0962.68141Damanik, David; Zare, Douglas 11 2000 Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent. Zbl 1422.35022Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; Vandenboom, Tom; Wang, Fengpeng; Zhang, Zhenghe 10 2019 Almost periodicity in time of solutions of the KdV equation. Zbl 1406.35325Binder, Ilia; Damanik, David; Goldstein, Michael; Lukic, Milivoje 10 2018 Singular density of states measure for subshift and quasi-periodic Schrödinger operators. Zbl 1303.47089Avila, Artur; Damanik, David; Zhang, Zhenghe 10 2014 Continuum Schrödinger operators associated with aperiodic subshifts. Zbl 1292.81052Damanik, David; Fillman, Jake; Gorodetski, Anton 10 2014 Schrödinger operators with few bound states. Zbl 1082.47029Damanik, David; Killip, Rowan; Simon, Barry 10 2005 Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum. Zbl 1432.34113Damanik, David; Fillman, Jake; Lukic, Milivoje 9 2017 An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators. Zbl 1344.47021Damanik, David; Gorodetski, Anton 9 2016 Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents. Zbl 1191.47058Damanik, David; Gan, Zheng 9 2010 The spectrum of the weakly coupled Fibonacci Hamiltonian. Zbl 1169.82009Damanik, David; Gorodetski, Anton 9 2009 The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations. Zbl 1359.34095Damanik, David; Goldstein, Michael; Lukic, Milivoje 8 2017 The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous. Zbl 1350.34067Damanik, David; Goldstein, Michael; Lukic, Milivoje 8 2016 Schrödinger operators with many bound states. Zbl 1114.34065Damanik, David; Remling, Christian 8 2007 Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators. Zbl 1084.34075Damanik, David; Killip, Rowan; Simon, Barry 8 2004 Substitution Hamiltonians with bounded trace map orbits. Zbl 0996.37011Damanik, David 8 2000 Uniform hyperbolicity for Szegő cocycles and applications to random CMV matrices and the Ising model. Zbl 1325.33007Damanik, David; Fillman, Jake; Lukic, Milivoje; Yessen, William 7 2015 Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian. Zbl 1276.81059Damanik, David; Gorodetski, Anton 7 2013 Uniform Szegő cocycles over strictly ergodic subshifts. Zbl 1108.37002Damanik, David; Lenz, Daniel 7 2007 Ergodic potentials with a discontinuous sampling function are non-deterministic. Zbl 1090.47021Damanik, David; Killip, Rowan 7 2005 A version of Gordon’s theorem for multi-dimensional Schrödinger operators. Zbl 1062.47038Damanik, David 7 2004 Linearly recurrent circle map subshifts and an application to Schrödinger operators. Zbl 1023.47019Adamczewski, B.; Damanik, D. 7 2002 A palindromic half-line criterion for absence of eigenvalues and applications to substitution Hamiltonians. Zbl 1092.81519Damanik, D.; Ghez, J.-M.; Raymond, L. 7 2001 Linear repetitivity. I: Uniform subadditive ergodic theorems and applications. Zbl 1182.37020Damanik, D.; Lenz, D. 7 2001 Singular continuous spectrum for the period doubling Hamiltonian on a set of full measure. Zbl 0907.34074Damanik, David 7 1998 Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces. Zbl 1337.37037Damanik, David; Yuditskii, Peter 6 2016 Transport exponents of Sturmian Hamiltonians. Zbl 1323.82038Damanik, David; Gorodetski, Anton; Liu, Qing-Hui; Qu, Yan-Hui 6 2015 Unbounded Jacobi matrices at critical coupling. Zbl 1120.47020Damanik, David; Naboko, Serguei 6 2007 Localization for discrete one-dimensional random word models. Zbl 1043.47032Damanik, David; Sims, Robert; Stolz, Günter 6 2004 Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials. Zbl 1173.81315Damanik, David; Lenz, Daniel 6 2003 Singular continuous spectrum for a class of substitution Hamiltonians. II. Zbl 1044.81035Damanik, David 6 2000 A generalization of Gordon’s theorem and applications to quasiperiodic Schrödinger operators. Zbl 0954.34074Damanik, David; Stolz, Günter 6 2000 Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line. Zbl 1342.82120Damanik, David; Erickson, Jon; Fillman, Jake; Hinkle, Gerhardt; Vu, Alan 5 2016 A continuum version of the Kunz-Souillard approach to localization in one dimension. Zbl 1245.34084Damanik, David; Stolz, Günter 5 2011 Schrödinger operators defined by interval-exchange transformations. Zbl 1184.81056Chaika, Jon; Damanik, David; Krüger, Helge 5 2009 Some high-complexity Hamiltonians with purely singular continuous spectrum. Zbl 1021.34074Damanik, D.; Solomyak, B. 5 2002 Uniform singular continuous spectrum for the period doubling Hamiltonian. Zbl 1002.47015Damanik, David 5 2001 Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 06991338Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea 4 2018 Almost periodicity in time of solutions of the Toda lattice. Zbl 1396.37067Binder, Ilia; Damanik, David; Lukic, Milivoje; VandenBoom, Tom 4 2018 A multi-scale analysis scheme on abelian groups with an application to operators dual to Hill’s equation. Zbl 1355.35053Damanik, David; Goldstein, Michael; Lukic, Milivoje 4 2017 On anomalous Lieb-Robinson bounds for the Fibonacci XY chain. Zbl 1350.81009Damanik, David; Lemm, Marius; Lukic, Milivoje; Yessen, William 4 2016 Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization. Zbl 1285.35005Damanik, David; Gan, Zheng 4 2013 The repetition property for sequences on tori generated by polynomials or skew-shifts. Zbl 1186.37018Boshernitzan, Michael; Damanik, David 4 2009 Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations. Zbl 1259.37011Bjerklöv, Kristian; Damanik, David; Johnson, Russell 4 2008 Lyapunov exponents in continuum Bernoulli-Anderson models. Zbl 1038.34049Damanik, David; Sims, Robert; Stolz, Günter 4 2002 Localization for Anderson models on metric and discrete tree graphs. Zbl 1436.05027Damanik, David; Fillman, Jake; Sukhtaiev, Selim 1 2020 Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent. Zbl 1422.35022Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; Vandenboom, Tom; Wang, Fengpeng; Zhang, Zhenghe 10 2019 Limit-periodic Schrödinger operators with Lipschitz continuous IDS. Zbl 07020564Damanik, David; Fillman, Jake 3 2019 Anderson localization for quasi-periodic CMV matrices and quantum walks. Zbl 07011443Wang, Fengpeng; Damanik, David 3 2019 Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly. Zbl 07104056Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; VandenBoom, Tom; Wang, Fengpeng; Zhang, Zhenghe 2 2019 Anderson localization for radial tree graphs with random branching numbers. Zbl 07063145Damanik, David; Sukhtaiev, Selim 2 2019 Almost periodicity in time of solutions of the KdV equation. Zbl 1406.35325Binder, Ilia; Damanik, David; Goldstein, Michael; Lukic, Milivoje 10 2018 Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 06991338Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea 4 2018 Almost periodicity in time of solutions of the Toda lattice. Zbl 1396.37067Binder, Ilia; Damanik, David; Lukic, Milivoje; VandenBoom, Tom 4 2018 Spectral transitions for the square Fibonacci Hamiltonian. Zbl 06979900Damanik, David; Gorodetski, Anton 1 2018 Schrödinger operators with dynamically defined potentials. Zbl 06823048Damanik, David 24 2017 Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum. Zbl 1432.34113Damanik, David; Fillman, Jake; Lukic, Milivoje 9 2017 The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations. Zbl 1359.34095Damanik, David; Goldstein, Michael; Lukic, Milivoje 8 2017 A multi-scale analysis scheme on abelian groups with an application to operators dual to Hill’s equation. Zbl 1355.35053Damanik, David; Goldstein, Michael; Lukic, Milivoje 4 2017 The Fibonacci Hamiltonian. Zbl 1359.81108Damanik, David; Gorodetski, Anton; Yessen, William 18 2016 Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices. Zbl 1332.81066Damanik, David; Fillman, Jake; Ong, Darren C. 13 2016 Characterizations of uniform hyperbolicity and spectra of CMV matrices. Zbl 1366.37077Yessen, William; Lukic, Milivoje; Fillman, Jake; Damanik, David 12 2016 On the existence and uniqueness of global solutions for the KdV equation with quasi-periodic initial data. Zbl 1342.35300Damanik, David; Goldstein, Michael 12 2016 An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators. Zbl 1344.47021Damanik, David; Gorodetski, Anton 9 2016 The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous. Zbl 1350.34067Damanik, David; Goldstein, Michael; Lukic, Milivoje 8 2016 Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces. Zbl 1337.37037Damanik, David; Yuditskii, Peter 6 2016 Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line. Zbl 1342.82120Damanik, David; Erickson, Jon; Fillman, Jake; Hinkle, Gerhardt; Vu, Alan 5 2016 On anomalous Lieb-Robinson bounds for the Fibonacci XY chain. Zbl 1350.81009Damanik, David; Lemm, Marius; Lukic, Milivoje; Yessen, William 4 2016 From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037Gesztesy, Fritz (ed.); Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei 2 2016 What is \(\ldots \) aperiodic order? Zbl 1352.52028Baake, Michael; Damanik, David; Grimm, Uwe 2 2016 Spectral properties of Schrödinger operators arising in the study of quasicrystals. Zbl 1378.81031Damanik, David; Embree, Mark; Gorodetski, Anton 22 2015 Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems. Zbl 1332.82027Damanik, David; Lukic, Milivoje; Yessen, William 17 2015 Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117Damanik, David; Gorodetski, Anton; Solomyak, Boris 13 2015 Uniform hyperbolicity for Szegő cocycles and applications to random CMV matrices and the Ising model. Zbl 1325.33007Damanik, David; Fillman, Jake; Lukic, Milivoje; Yessen, William 7 2015 Transport exponents of Sturmian Hamiltonians. Zbl 1323.82038Damanik, David; Gorodetski, Anton; Liu, Qing-Hui; Qu, Yan-Hui 6 2015 Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian. Zbl 1310.81065Damanik, David; Gorodetski, Anton 3 2015 Almost sure frequency independence of the dimension of the spectrum of Sturmian Hamiltonians. Zbl 1327.47029Damanik, David; Gorodetski, Anton 2 2015 On the inverse spectral problem for the quasi-periodic Schrödinger equation. Zbl 1296.35168Damanik, David; Goldstein, Michael 15 2014 Dynamics of unitary operators. Zbl 1321.47076Damanik, David; Fillman, Jake; Vance, Robert 14 2014 Singular density of states measure for subshift and quasi-periodic Schrödinger operators. Zbl 1303.47089Avila, Artur; Damanik, David; Zhang, Zhenghe 10 2014 Continuum Schrödinger operators associated with aperiodic subshifts. Zbl 1292.81052Damanik, David; Fillman, Jake; Gorodetski, Anton 10 2014 Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications. Zbl 1291.33010Damanik, David; Munger, Paul; Yessen, William N. 14 2013 Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure. Zbl 1283.33005Damanik, David; Munger, Paul; Yessen, William N. 13 2013 Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian. Zbl 1276.81059Damanik, David; Gorodetski, Anton 7 2013 Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization. Zbl 1285.35005Damanik, David; Gan, Zheng 4 2013 The density of states measure of the weakly coupled Fibonacci Hamiltonian. Zbl 1256.81035Damanik, David; Gorodetski, Anton 11 2012 Opening gaps in the spectrum of strictly ergodic Schrödinger operators. Zbl 1263.37007Avila, Artur; Bochi, Jairo; Damanik, David 11 2012 Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian. Zbl 1232.81016Damanik, David; Gorodetski, Anton 26 2011 Limit-periodic Schrödinger operators with uniformly localized eigenfunctions. Zbl 1314.47053Damanik, David; Gan, Zheng 13 2011 Spectral properties of limit-periodic Schrödinger operators. Zbl 1242.47023Damanik, David; Gan, Zheng 13 2011 A continuum version of the Kunz-Souillard approach to localization in one dimension. Zbl 1245.34084Damanik, David; Stolz, Günter 5 2011 Perturbations of orthogonal polynomials with periodic recursion coefficients. Zbl 1194.47031Damanik, David; Killip, Rowan; Simon, Barry 49 2010 A general description of quantum dynamical spreading over an orthonormal basis and applications to Schrödinger operators. Zbl 1198.81085Damanik, David; Tcheremchantsev, Serguei 13 2010 Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents. Zbl 1191.47058Damanik, David; Gan, Zheng 9 2010 Hyperbolicity of the trace map for the weakly coupled Fibonacci Hamiltonian. Zbl 1154.82312Damanik, David; Gorodetski, Anton 22 2009 Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts. Zbl 1165.37012Avila, Artur; Bochi, Jairo; Damanik, David 18 2009 The spectrum of the weakly coupled Fibonacci Hamiltonian. Zbl 1169.82009Damanik, David; Gorodetski, Anton 9 2009 Schrödinger operators defined by interval-exchange transformations. Zbl 1184.81056Chaika, Jon; Damanik, David; Krüger, Helge 5 2009 The repetition property for sequences on tori generated by polynomials or skew-shifts. Zbl 1186.37018Boshernitzan, Michael; Damanik, David 4 2009 Pinned repetitions in symbolic flows: preliminary results. Zbl 1184.37013Boshernitzan, M.; Damanik, David 2 2009 Almost everything about the Fibonacci operator. Zbl 1175.81090Damanik, David 2 2009 Almost periodic Szegő cocycles with uniformly positive Lyapunov exponents. Zbl 1185.37063Damanik, David; Krüger, Helge 1 2009 The analytic theory of matrix orthogonal polynomials. Zbl 1193.42097Damanik, David; Pushnitski, Alexander; Simon, Barry 74 2008 The fractal dimension of the spectrum of the Fibonacci Hamiltonian. Zbl 1192.81151Damanik, D.; Embree, M.; Gorodetski, A.; Tcheremchantsev, S. 32 2008 Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling. Zbl 1149.47021Avila, Artur; Damanik, David 17 2008 Generic continuous spectrum for ergodic Schrödinger operators. Zbl 1159.35016Boshernitzan, Michael; Damanik, David 13 2008 Quantum dynamics via complex analysis methods: general upper bounds without time-averaging and tight lower bounds for the strongly coupled Fibonacci Hamiltonian. Zbl 1153.81011Damanik, David; Tcheremchantsev, Serguei 12 2008 Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations. Zbl 1259.37011Bjerklöv, Kristian; Damanik, David; Johnson, Russell 4 2008 Upper bounds in quantum dynamics. Zbl 1114.81036Damanik, David; Tcheremchantsev, Serguei 25 2007 Lyapunov exponents and spectral analysis of ergodic Schrödinger operators: a survey of Kotani theory and its applications. Zbl 1130.82018Damanik, David 19 2007 Strictly ergodic subshifts and associated operators. Zbl 1130.82017Damanik, David 17 2007 Schrödinger operators with many bound states. Zbl 1114.34065Damanik, David; Remling, Christian 8 2007 Uniform Szegő cocycles over strictly ergodic subshifts. Zbl 1108.37002Damanik, David; Lenz, Daniel 7 2007 Unbounded Jacobi matrices at critical coupling. Zbl 1120.47020Damanik, David; Naboko, Serguei 6 2007 Bound states of discrete Schrödinger operators with super-critical inverse square potentials. Zbl 1110.47019Damanik, David; Teschl, Gerald 1 2007 A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem. Zbl 1118.37009Damanik, David; Lenz, Daniel 24 2006 Jost functions and Jost solutions for Jacobi matrices. I: A necessary and sufficient condition for Szegő asymptotics. Zbl 1122.47029Damanik, David; Simon, Barry 19 2006 Jost functions and Jost solutions for Jacobi matrices. II: Decay and analyticity. Zbl 1122.47030Damanik, David; Simon, Barry 17 2006 Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. Zbl 1122.47028Damanik, David; Lenz, Daniel 14 2006 Lower transport bounds for one-dimensional continuum Schrödinger operators. Zbl 1116.34066Damanik, David; Lenz, Daniel; Stolz, Günter 14 2006 Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading. Zbl 1132.81018Damanik, David; Tcheremchantsev, Serguei 13 2006 Substitution dynamical systems: characterization of linear repetitivity and applications. Zbl 1094.37007Damanik, David; Lenz, Daniel 11 2006 Verblunsky coefficients with Coulomb-type decay. Zbl 1100.42016Damanik, David 1 2006 Generic singular spectrum for ergodic Schrödinger operators. Zbl 1102.82012Avila, Artur; Damanik, David 21 2005 Dynamical upper bounds for one-dimensional quasicrystals. Zbl 1077.81039Damanik, David 11 2005 Schrödinger operators with few bound states. Zbl 1082.47029Damanik, David; Killip, Rowan; Simon, Barry 10 2005 Ergodic potentials with a discontinuous sampling function are non-deterministic. Zbl 1090.47021Damanik, David; Killip, Rowan 7 2005 Almost everywhere positivity of the Lyapunov exponent for the doubling map. Zbl 1087.47037Damanik, David; Killip, Rowan 2 2005 Half-line Schrödinger operators with no bound states. Zbl 1081.47027Damanik, David; Killip, R. Rowan 17 2004 Power-law bounds on transfer matrices and quantum dynamics in one dimension. II. Zbl 1059.81055Damanik, David; Sütő, András; Tcheremchantsev, Serguei 17 2004 Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators. Zbl 1084.34075Damanik, David; Killip, Rowan; Simon, Barry 8 2004 A version of Gordon’s theorem for multi-dimensional Schrödinger operators. Zbl 1062.47038Damanik, David 7 2004 Localization for discrete one-dimensional random word models. Zbl 1043.47032Damanik, David; Sims, Robert; Stolz, Günter 6 2004 Half-line eigenfunction estimates and purely singular continuous spectrum of zero Lebesgue measure. Zbl 1047.81021Damanik, David; Lenz, Daniel 3 2004 Reflection symmetries and absence of eigenvalues for one-dimensional Schrödinger operators. Zbl 1056.34095Damanik, David; Hundertmark, Dirk 1 2004 Palindrome complexity. Zbl 1064.68074Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David 54 2003 Power-law bounds on transfer matrices and quantum dynamics in one dimension. Zbl 1033.81032Damanik, David; Tcheremchantsev, Serguei 28 2003 Variational estimates for discrete Schrödinger operators with potentials of indefinite sign. Zbl 1052.47027Damanik, D.; Hundertmark, D.; Killip, R.; Simon, B. 18 2003 Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators. Zbl 1049.47032Damanik, David; Hundertmark, Dirk; Simon, Barry 14 2003 Powers in Sturmian sequences. Zbl 1030.68068Damanik, David; Lenz, Daniel 14 2003 Combinatorial properties of Arnoux-Rauzy subshifts and applications to Schrödinger operators. Zbl 1081.81521Damanik, D.; Zamboni, Luca Q. 11 2003 Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials. Zbl 1173.81315Damanik, David; Lenz, Daniel 6 2003 Log-dimensional spectral properties of one-dimensional quasicrystals. Zbl 1075.81024Damanik, David; Landrigan, Michael 3 2003 Quantum dynamical bounds for one-dimensional quasicrystals. Zbl 1041.81025Damanik, David 1 2003 Localization for one-dimensional, continuum, Bernoulli-Anderson models. Zbl 1107.82025Damanik, David; Sims, Robert; Stolz, Günter 37 2002 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 600 Authors 80 Damanik, David 22 Simon, Barry 19 Fillman, Jake 19 Lenz, Daniel H. 15 Pelantová, Edita 15 Stolz, Gunter 14 de Oliveira, César R. 14 Gorodetski, Anton 13 Avila Cordeiro de Melo, Artur 11 Jitomirskaya, Svetlana Ya. 11 Zamboni, Luca Quardo 10 Krüger, Helge 10 Lukic, Milivoje 10 Ong, Darren C. 10 Yuditskii, Peter Meerovich 9 Liu, Qinghui 8 Germinet, François 8 Koelink, Erik 8 Masáková, Zuzana 8 Qu, Yanhui 8 Zinchenko, Maxim 7 Christiansen, Jacob Stordal 7 Chulaevsky, Victor 7 Marcellán Español, Francisco 7 Naboko, Serguei N. 7 Rampersad, Narad 7 Safronov, Oleg 7 Shallit, Jeffrey O. 7 Tcheremchantsev, Serguei 7 Yessen, William N. 6 Allouche, Jean-Paul Simon 6 Beckus, Siegfried 6 Boumaza, Hakim 6 Carvalho, Silas L. 6 Glen, Amy 6 Goldstein, Michael 6 Grünbaum, Francisco Alberto 6 Han, Rui 6 Killip, Rowan 6 Klein, Abel 6 Kozhan, Rostyslav V. 6 Marin, Laurent 6 Nagel, Jan 6 Remling, Christian 6 Román, Pablo Manuel 6 Sims, Robert L. 6 Velázquez, Luis 5 Bochi, Jairo 5 Breuer, Jonathan 5 Dette, Holger 5 Frid, Anna Èduardovna 5 Gamboa, Fabrice 5 Gan, Zheng 5 Last, Yoram 5 Prado, Roberto A. 5 Rouault, Alain 5 Solomyak, Boris 5 Starosta, Štěpán 5 Wen, Zhi-Ying 5 Zhang, Zhenghe 5 Zhou, Qi 4 Ambrož, Petr 4 Balková, L’ubomíra 4 Brlek, Srečko 4 Cassaigne, Julien 4 Choque Rivero, Abdon Eddy 4 Fici, Gabriele 4 García-Ardila, Juan Carlos 4 Geronimo, Jeffrey S. 4 Gordon, Alexander Ya. 4 Hamza, Eman 4 Johnson, Russell Allan 4 Joye, Alain 4 Kachkovskiy, Ilya V. 4 Karpeshina, Yulia E. 4 Kupin, Stanislas 4 Mañas, Manuel 4 Munger, Paul E. 4 Najar, Hatem 4 Peltomäki, Jarkko 4 Seifert, Christian 4 Shterenberg, Roman G. 4 VandenBoom, Tom 4 Wang, Fengpeng 4 Zhao, Xin 4 Zhao, Zhiyan 3 Anshelevich, Michael 3 Baake, Michael 3 Bellissard, Jean V. 3 Bjerklöv, Kristian 3 Boshernitzan, Michael D. 3 Bourgain, Jean 3 Bourget, Olivier 3 Bucaj, Valmir 3 Bucci, Michelangelo 3 Cantero, María José 3 Currie, James D. 3 De Luca, Alessandro 3 Domínguez de la Iglesia, Manuel 3 Embree, Mark ...and 500 more Authors all top 5 Cited in 145 Serials 49 Communications in Mathematical Physics 37 Theoretical Computer Science 31 Journal of Functional Analysis 25 Journal of Mathematical Analysis and Applications 24 Journal of Mathematical Physics 23 Annales Henri Poincaré 22 Journal of Approximation Theory 20 Proceedings of the American Mathematical Society 17 Ergodic Theory and Dynamical Systems 16 Journal of Statistical Physics 14 Advances in Mathematics 14 Duke Mathematical Journal 12 Letters in Mathematical Physics 12 Constructive Approximation 11 Reviews in Mathematical Physics 11 European Journal of Combinatorics 11 Journal of Spectral Theory 10 Journal d’Analyse Mathématique 9 Transactions of the American Mathematical Society 9 Mathematical Physics, Analysis and Geometry 8 Integral Equations and Operator Theory 8 RAIRO. 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