Edit Profile (opens in new tab) Schlag, Wilhelm Co-Author Distance Author ID: schlag.wilhelm Published as: Schlag, Wilhelm; Schlag, W. Homepage: https://math.yale.edu/people/wilhelm-schlag External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 122 Publications since 1991, including 6 Books and 14 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 54 Co-Authors with 102 Joint Publications 1,809 Co-Co-Authors all top 5 Co-Authors 23 single-authored 17 Krieger, Joachim 12 Goldstein, Michael 10 Nakanishi, Kenji 8 Kenig, Carlos Eduardo 8 Lawrie, Andrew G. W. 8 Soffer, Avraham 7 Donninger, Roland 7 Han, Rui 5 Erdoğan, Mehmet Burak 5 Goldberg, Michael Joseph 4 Côte, Raphaël 4 Liu, Baoping 4 Peres, Yuval 4 Rodnianski, Igor 4 Staubach, Wolfgang 4 Voda, Mircea 3 Bourgain, Jean 3 Costin, Ovidiu 3 Lührmann, Jonas 3 Tataru, Daniel 2 Beceanu, Marius 2 Burq, Nicolas 2 Deift, Percy A. 2 Galvez, Cherie 2 Gesztesy, Fritz 2 Huang, Min 2 Jia, Hao 2 Konyagin, Sergeĭ Vladimirovich 2 Lemm, Marius 2 Lindenstrauss, Elon 2 Muscalu, Camil 2 Perry, Peter A. 2 Raugel, Geneviève 2 Tanveer, Saleh 2 Xu, Guixiang 1 Chan, Jackson 1 Cohen, Alex 1 Costin, Rodica D. 1 Creek, Matthew 1 Damanik, David 1 Daubechies, Ingrid 1 Delbaen, Freddy 1 Demanet, Laurent 1 Guth, Lawrence David 1 Ionescu, Alexandru D. 1 Jendrej, Jacek 1 Jitomirskaya, Svetlana Yakovlevna 1 Killip, Rowan 1 Kontorovich, Alex V. 1 Lindblad, Hans 1 Miao, Shuang 1 Milman, Vitali D. 1 Mockenhaupt, Gerd 1 Park, Hyejin 1 Pisier, Gilles 1 Rudnick, Zeév 1 Ruzsa, Imre Z. 1 Sarnak, Peter Clive 1 Shubin, C. 1 Snelson, Stanley 1 Sogge, Christopher D. 1 Solomyak, Boris 1 Staffilani, Gigliola 1 Tao, Terence 1 Varjú, Péter Pál 1 Wolff, Thomas H. all top 5 Serials 9 Communications in Mathematical Physics 7 American Journal of Mathematics 6 IMRN. International Mathematics Research Notices 5 Advances in Mathematics 5 Duke Mathematical Journal 4 Journal d’Analyse Mathématique 3 Nonlinearity 3 Inventiones Mathematicae 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Spectral Theory 2 Mathematische Annalen 2 Journal of the American Mathematical Society 2 Discrete and Continuous Dynamical Systems 2 Cambridge Studies in Advanced Mathematics 2 Proceedings of Symposia in Pure Mathematics 2 Analysis & PDE 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Journal of Differential Equations 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Forum Mathematicum 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Vietnam Journal of Mathematics 1 Annales Henri Poincaré 1 Moscow Mathematical Journal 1 Dynamics of Partial Differential Equations 1 Graduate Studies in Mathematics 1 Journal of Modern Dynamics 1 Wiadomości Matematyczne 1 Zurich Lectures in Advanced Mathematics 1 EMS Monographs in Mathematics 1 Communications of the American Mathematical Society all top 5 Fields 79 Partial differential equations (35-XX) 31 Quantum theory (81-XX) 25 Operator theory (47-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Probability theory and stochastic processes (60-XX) 6 Difference and functional equations (39-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Measure and integration (28-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 3,318 times in 1,758 Documents Cited by ▼ Year ▼ Sixty years of Bernoulli convolutions. Zbl 0961.42006 Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris 165 2000 Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035 Rodnianski, Igor; Schlag, Wilhelm 158 2004 Classical and multilinear harmonic analysis. Volume I. Zbl 1281.42002 Muscalu, Camil; Schlag, Wilhelm 134 2013 Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions. Zbl 0990.39014 Goldstein, Michael; Schlag, Wilhelm 121 2001 Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021 Krieger, J.; Schlag, W.; Tataru, D. 117 2008 Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions. Zbl 0961.42007 Peres, Yuval; Schlag, Wilhelm 110 2000 Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation. Zbl 1170.35066 Krieger, Joachim; Schlag, Wilhelm; Tataru, Daniel 96 2009 Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077 Goldberg, M.; Schlag, W. 94 2004 Dispersive estimates for Schrödinger operators: a survey. Zbl 1143.35001 Schlag, W. 94 2007 Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002 Nakanishi, Kenji; Schlag, Wilhelm 83 2011 Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension. Zbl 1281.35077 Krieger, J.; Schlag, W. 66 2006 Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential. Zbl 1022.47023 Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm 63 2002 Concentration compactness for critical wave maps. Zbl 1387.35006 Krieger, Joachim; Schlag, Wilhelm 62 2012 Classical and multilinear harmonic analysis. Volume II. Zbl 1282.42001 Muscalu, Camil; Schlag, Wilhelm 62 2013 Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues. Zbl 1171.82011 Goldstein, Michael; Schlag, Wilhelm 57 2008 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 57 2012 Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148 Nakanishi, K.; Schlag, W. 57 2012 Dispersive estimates for Schrödinger operators in dimension two. Zbl 1134.35321 Schlag, W. 57 2005 Dispersive analysis of charge transfer models. Zbl 1130.81053 Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 57 2005 Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift. Zbl 0994.82044 Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm 54 2001 A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 48 2011 Stable manifolds for an orbitally unstable nonlinear Schrödinger equation. Zbl 1180.35490 Schlag, Wilhelm 48 2009 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 46 2009 On the focusing critical semi-linear wave equation. Zbl 1219.35144 Krieger, J.; Schlag, W. 46 2007 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 43 2008 A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063 Goldberg, M.; Schlag, W. 41 2004 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 41 2015 Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006 Schlag, Wilhelm; Sogge, Christopher D. 41 1997 Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 40 2013 Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 39 2015 A generalization of Bourgain’s circular maximal theorem. Zbl 0867.42010 Schlag, W. 39 1997 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102 Erdoğan, M. Burak; Schlag, Wilhelm 38 2004 Full range of blow up exponents for the quintic wave equation in three dimensions. Zbl 1320.35096 Krieger, Joachim; Schlag, Wilhelm 38 2014 Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307 Nakanishi, K.; Schlag, W. 37 2011 Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials. Zbl 1040.81014 Bourgain, Jean; Schlag, Wilhelm 36 2000 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. Zbl 1146.35324 Erdoğan, M. Burak; Schlag, Wilhelm 35 2006 On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations. Zbl 1268.82013 Goldstein, Michael; Schlag, Wilhelm 34 2011 Agmon-Kato-Kuroda theorems for a large class of perturbations. Zbl 1092.35073 Ionescu, Alexandru D.; Schlag, Wilhelm 34 2006 Non-generic blow-up solutions for the critical focusing NLS in 1-D. Zbl 1163.35035 Krieger, J.; Schlag, Wilhelm 33 2009 Schauder and \(L^ p\) estimates for parabolic systems via Campanato spaces. Zbl 0864.35023 Schlag, Wilhelm 31 1996 Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 29 2013 Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138 Nakanishi, K.; Schlag, W. 29 2012 Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 29 2015 Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203 Krieger, J.; Schlag, W.; Tataru, D. 28 2009 Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356 Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm 27 2014 Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation. Zbl 1106.35044 Demanet, Laurent; Schlag, Wilhelm 24 2006 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 24 2010 Spectral theory and nonlinear partial differential equations: a survey. Zbl 1121.35121 Schlag, Wilhelm 23 2006 Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002 Krieger, J.; Nakanishi, K.; Schlag, W. 23 2012 Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 23 2014 Channels of energy for the linear radial wave equation. Zbl 1331.35209 Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 23 2015 Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\). Zbl 1310.35170 Donninger, Roland; Huang, Min; Krieger, Joachim; Schlag, Wilhelm 22 2014 Energy partition for the linear radial wave equation. Zbl 1311.35022 Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm 22 2014 On the spectral properties of \(L_{\pm }\) in three dimensions. Zbl 1232.35106 Costin, Ovidiu; Huang, Min; Schlag, Wilhelm 20 2012 Two Erdős problems on lacunary sequences: chromatic number and Diophantine approximation. Zbl 1215.05074 Peres, Yuval; Schlag, Wilhelm 18 2010 Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 18 2018 Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 1478.47023 Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea 17 2018 Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076 Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 16 2015 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 16 2010 Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041 Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm 16 2017 On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials. Zbl 1517.35196 Lindblad, Hans; Lührmann, Jonas; Schlag, Wilhelm; Soffer, Avy 16 2023 Structure formulas for wave operators. Zbl 1445.35234 Beceanu, M.; Schlag, W. 16 2020 Large global solutions for energy supercritical nonlinear wave equations on \(\mathbb{R}^{3+1}\). Zbl 1402.35180 Krieger, Joachim; Schlag, Wilhelm 15 2017 Scattering for wave maps exterior to a ball. Zbl 1264.35045 Lawrie, A.; Schlag, W. 13 2013 A course in complex analysis and Riemann surfaces. Zbl 1326.30003 Schlag, Wilhelm 13 2014 On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling. Zbl 07088060 Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea 13 2019 Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle. Zbl 0949.42006 Konyagin, S. V.; Schlag, W. 12 1999 A geometric proof of the circular maximal theorem. Zbl 0942.42010 Schlag, W. 12 1998 Regularity and convergence rates for the Lyapunov exponents of linear cocycles. Zbl 1321.37023 Schlag, Wilhelm 12 2013 Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059 Rodnianski, Igor; Schlag, Wilhelm 12 2003 Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018 Donninger, Roland; Schlag, Wilhelm 11 2010 Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037 Nakanishi, K.; Schlag, W. 11 2012 Structure formulas for wave operators under a small scaling invariant condition. Zbl 1428.35254 Beceanu, Marius; Schlag, Wilhelm 11 2019 Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018 Donninger, R.; Schlag, W. 10 2011 On continuum incidence problems related to harmonic analysis. Zbl 1043.42010 Schlag, W. 10 2003 On the integrated density of states for Schrödinger operators on \(\mathbb Z^2\) with quasi periodic potential. Zbl 1031.82023 Schlag, Wilhelm 10 2001 On pointwise decay of waves. Zbl 1467.81039 Schlag, W. 9 2021 On the Hardy-Littlewood majorant problem for random sets. Zbl 1158.42002 Mockenhaupt, G.; Schlag, W. 8 2009 Linear stability of the Skyrmion. Zbl 1405.83018 Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley 8 2017 Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials. Zbl 1160.35056 Costin, Ovidiu; Schlag, Wilhelm; Staubach, Wolfgang; Tanveer, Saleh 7 2008 Frequency concentration and location lengths for the Anderson model at small disorders. Zbl 1032.60060 Schlag, W.; Shubin, C.; Wolff, Thomas H. 7 2002 Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base. Zbl 1471.35105 Han, R.; Lemm, M.; Schlag, W. 7 2020 A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle. Zbl 1439.32082 Han, Rui; Schlag, Wilhelm 7 2020 Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015 5 2007 A remark on Littlewood-Paley theory for the distorted Fourier transform. Zbl 1159.42008 Schlag, W. 5 2007 Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038 Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh 5 2012 Asymptotic stability of the sine-Gordon kink under odd perturbations. Zbl 1531.35044 Lührmann, Jonas; Schlag, Wilhelm 5 2023 A geometric inequality with applications to the Kakeya problem in three dimensions. Zbl 0939.42012 Schlag, W. 5 1998 On Schrödinger operators with dynamically defined potentials. Zbl 1143.47301 Goldstein, Michael; Schlag, Wilhelm 4 2005 Bernoulli convolutions and an intermediate value theorem for entropies of \(k\)-partitions. Zbl 1024.37004 Lindenstrauss, Elon; Peres, Yuval; Schlag, Wilhelm 4 2002 Energy growth in Schrödinger’s equation with Markovian forcing. Zbl 1033.81023 Erdoğan, M. Burak; Killip, Rowan; Schlag, Wilhelm 4 2003 Generic and non-generic behavior of solutions to defocusing energy critical wave equation with potential in the radial case. Zbl 1405.35114 Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang 4 2017 The Weber equation as a normal form with applications to top of the barrier scattering. Zbl 1414.34067 Costin, Rodica D.; Park, Hyejin; Schlag, Wilhelm 4 2018 Global center stable manifold for the defocusing energy critical wave equation with potential. Zbl 1465.35306 Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang 4 2020 On discrete Schrödinger operators with stochastic potentials. Zbl 1119.39302 Schlag, W. 3 2005 An introduction to multiscale techniques in the theory of Anderson localization. I. Zbl 07515361 Schlag, Wilhelm 3 2022 On codimension one stability of the soliton for the 1D focusing cubic Klein-Gordon equation. Zbl 1545.35072 Lührmann, Jonas; Schlag, Wilhelm 3 2024 The method of concentration compactness and dispersive Hamiltonian evolution equations. Zbl 1319.35112 Schlag, W. 2 2014 On uniformly distributed dilates of finite integer sequences. Zbl 0946.11016 Konyagin, S. V.; Ruzsa, I. Z.; Schlag, W. 2 2000 \(L^p\to L^q\) estimates for the circular maximal function. Zbl 0981.42012 Schlag, Wilhelm 2 2000 On codimension one stability of the soliton for the 1D focusing cubic Klein-Gordon equation. Zbl 1545.35072 Lührmann, Jonas; Schlag, Wilhelm 3 2024 On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials. Zbl 1517.35196 Lindblad, Hans; Lührmann, Jonas; Schlag, Wilhelm; Soffer, Avy 16 2023 Asymptotic stability of the sine-Gordon kink under odd perturbations. Zbl 1531.35044 Lührmann, Jonas; Schlag, Wilhelm 5 2023 An introduction to multiscale techniques in the theory of Anderson localization. I. Zbl 07515361 Schlag, Wilhelm 3 2022 On pointwise decay of waves. Zbl 1467.81039 Schlag, W. 9 2021 Structure formulas for wave operators. Zbl 1445.35234 Beceanu, M.; Schlag, W. 16 2020 Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base. Zbl 1471.35105 Han, R.; Lemm, M.; Schlag, W. 7 2020 A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle. Zbl 1439.32082 Han, Rui; Schlag, Wilhelm 7 2020 Global center stable manifold for the defocusing energy critical wave equation with potential. Zbl 1465.35306 Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang 4 2020 Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle. Zbl 1476.37074 Han, Rui; Lemm, Marius; Schlag, Wilhelm 1 2020 On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling. Zbl 07088060 Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea 13 2019 Structure formulas for wave operators under a small scaling invariant condition. Zbl 1428.35254 Beceanu, Marius; Schlag, Wilhelm 11 2019 Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 18 2018 Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 1478.47023 Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea 17 2018 The Weber equation as a normal form with applications to top of the barrier scattering. Zbl 1414.34067 Costin, Rodica D.; Park, Hyejin; Schlag, Wilhelm 4 2018 Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041 Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm 16 2017 Large global solutions for energy supercritical nonlinear wave equations on \(\mathbb{R}^{3+1}\). Zbl 1402.35180 Krieger, Joachim; Schlag, Wilhelm 15 2017 Linear stability of the Skyrmion. Zbl 1405.83018 Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley 8 2017 Generic and non-generic behavior of solutions to defocusing energy critical wave equation with potential in the radial case. Zbl 1405.35114 Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang 4 2017 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 41 2015 Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 39 2015 Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 29 2015 Channels of energy for the linear radial wave equation. Zbl 1331.35209 Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 23 2015 Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076 Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 16 2015 Full range of blow up exponents for the quintic wave equation in three dimensions. Zbl 1320.35096 Krieger, Joachim; Schlag, Wilhelm 38 2014 Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356 Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm 27 2014 Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 23 2014 Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\). Zbl 1310.35170 Donninger, Roland; Huang, Min; Krieger, Joachim; Schlag, Wilhelm 22 2014 Energy partition for the linear radial wave equation. Zbl 1311.35022 Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm 22 2014 A course in complex analysis and Riemann surfaces. Zbl 1326.30003 Schlag, Wilhelm 13 2014 The method of concentration compactness and dispersive Hamiltonian evolution equations. Zbl 1319.35112 Schlag, W. 2 2014 Semilinear wave equations. Zbl 1373.35181 Schlag, Wilhelm 2 2014 Classical and multilinear harmonic analysis. Volume I. Zbl 1281.42002 Muscalu, Camil; Schlag, Wilhelm 134 2013 Classical and multilinear harmonic analysis. Volume II. Zbl 1282.42001 Muscalu, Camil; Schlag, Wilhelm 62 2013 Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 40 2013 Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 29 2013 Scattering for wave maps exterior to a ball. Zbl 1264.35045 Lawrie, A.; Schlag, W. 13 2013 Regularity and convergence rates for the Lyapunov exponents of linear cocycles. Zbl 1321.37023 Schlag, Wilhelm 12 2013 Concentration compactness for critical wave maps. Zbl 1387.35006 Krieger, Joachim; Schlag, Wilhelm 62 2012 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 57 2012 Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148 Nakanishi, K.; Schlag, W. 57 2012 Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138 Nakanishi, K.; Schlag, W. 29 2012 Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002 Krieger, J.; Nakanishi, K.; Schlag, W. 23 2012 On the spectral properties of \(L_{\pm }\) in three dimensions. Zbl 1232.35106 Costin, Ovidiu; Huang, Min; Schlag, Wilhelm 20 2012 Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037 Nakanishi, K.; Schlag, W. 11 2012 Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038 Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh 5 2012 Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002 Nakanishi, Kenji; Schlag, Wilhelm 83 2011 A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 48 2011 Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307 Nakanishi, K.; Schlag, W. 37 2011 On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations. Zbl 1268.82013 Goldstein, Michael; Schlag, Wilhelm 34 2011 Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018 Donninger, R.; Schlag, W. 10 2011 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 24 2010 Two Erdős problems on lacunary sequences: chromatic number and Diophantine approximation. Zbl 1215.05074 Peres, Yuval; Schlag, Wilhelm 18 2010 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 16 2010 Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018 Donninger, Roland; Schlag, Wilhelm 11 2010 Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation. Zbl 1170.35066 Krieger, Joachim; Schlag, Wilhelm; Tataru, Daniel 96 2009 Stable manifolds for an orbitally unstable nonlinear Schrödinger equation. Zbl 1180.35490 Schlag, Wilhelm 48 2009 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 46 2009 Non-generic blow-up solutions for the critical focusing NLS in 1-D. Zbl 1163.35035 Krieger, J.; Schlag, Wilhelm 33 2009 Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203 Krieger, J.; Schlag, W.; Tataru, D. 28 2009 On the Hardy-Littlewood majorant problem for random sets. Zbl 1158.42002 Mockenhaupt, G.; Schlag, W. 8 2009 Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021 Krieger, J.; Schlag, W.; Tataru, D. 117 2008 Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues. Zbl 1171.82011 Goldstein, Michael; Schlag, Wilhelm 57 2008 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 43 2008 Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials. Zbl 1160.35056 Costin, Ovidiu; Schlag, Wilhelm; Staubach, Wolfgang; Tanveer, Saleh 7 2008 Dispersive estimates for Schrödinger operators: a survey. Zbl 1143.35001 Schlag, W. 94 2007 On the focusing critical semi-linear wave equation. Zbl 1219.35144 Krieger, J.; Schlag, W. 46 2007 Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015 5 2007 A remark on Littlewood-Paley theory for the distorted Fourier transform. Zbl 1159.42008 Schlag, W. 5 2007 On the formation of gaps in the spectrum of Schrödinger operators with quasi-periodic potentials. Zbl 1208.82027 Goldstein, Michael; Schlag, Wilhelm 1 2007 Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension. Zbl 1281.35077 Krieger, J.; Schlag, W. 66 2006 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. Zbl 1146.35324 Erdoğan, M. Burak; Schlag, Wilhelm 35 2006 Agmon-Kato-Kuroda theorems for a large class of perturbations. Zbl 1092.35073 Ionescu, Alexandru D.; Schlag, Wilhelm 34 2006 Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation. Zbl 1106.35044 Demanet, Laurent; Schlag, Wilhelm 24 2006 Spectral theory and nonlinear partial differential equations: a survey. Zbl 1121.35121 Schlag, Wilhelm 23 2006 Dispersive estimates for Schrödinger operators in dimension two. Zbl 1134.35321 Schlag, W. 57 2005 Dispersive analysis of charge transfer models. Zbl 1130.81053 Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 57 2005 On Schrödinger operators with dynamically defined potentials. Zbl 1143.47301 Goldstein, Michael; Schlag, Wilhelm 4 2005 On discrete Schrödinger operators with stochastic potentials. Zbl 1119.39302 Schlag, W. 3 2005 Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035 Rodnianski, Igor; Schlag, Wilhelm 158 2004 Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077 Goldberg, M.; Schlag, W. 94 2004 A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063 Goldberg, M.; Schlag, W. 41 2004 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102 Erdoğan, M. Burak; Schlag, Wilhelm 38 2004 Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059 Rodnianski, Igor; Schlag, Wilhelm 12 2003 On continuum incidence problems related to harmonic analysis. Zbl 1043.42010 Schlag, W. 10 2003 Energy growth in Schrödinger’s equation with Markovian forcing. Zbl 1033.81023 Erdoğan, M. Burak; Killip, Rowan; Schlag, Wilhelm 4 2003 Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential. Zbl 1022.47023 Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm 63 2002 Frequency concentration and location lengths for the Anderson model at small disorders. Zbl 1032.60060 Schlag, W.; Shubin, C.; Wolff, Thomas H. 7 2002 Bernoulli convolutions and an intermediate value theorem for entropies of \(k\)-partitions. Zbl 1024.37004 Lindenstrauss, Elon; Peres, Yuval; Schlag, Wilhelm 4 2002 Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions. Zbl 0990.39014 Goldstein, Michael; Schlag, Wilhelm 121 2001 Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift. Zbl 0994.82044 Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm 54 2001 On the integrated density of states for Schrödinger operators on \(\mathbb Z^2\) with quasi periodic potential. Zbl 1031.82023 Schlag, Wilhelm 10 2001 Sixty years of Bernoulli convolutions. Zbl 0961.42006 Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris 165 2000 Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions. Zbl 0961.42007 Peres, Yuval; Schlag, Wilhelm 110 2000 Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials. Zbl 1040.81014 Bourgain, Jean; Schlag, Wilhelm 36 2000 On uniformly distributed dilates of finite integer sequences. Zbl 0946.11016 Konyagin, S. V.; Ruzsa, I. Z.; Schlag, W. 2 2000 \(L^p\to L^q\) estimates for the circular maximal function. Zbl 0981.42012 Schlag, Wilhelm 2 2000 On minima of the absolute value of certain random exponential sums. Zbl 0964.60012 Schlag, W. 1 2000 Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle. Zbl 0949.42006 Konyagin, S. V.; Schlag, W. 12 1999 A geometric proof of the circular maximal theorem. Zbl 0942.42010 Schlag, W. 12 1998 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,593 Authors 50 Schlag, Wilhelm 34 Merle, Frank 30 Krieger, Joachim 29 Donninger, Roland 28 Damanik, David 28 Martel, Yvan 26 Kenig, Carlos Eduardo 23 Raphael, Pierre 22 Soffer, Avraham 21 Duyckaerts, Thomas 21 Green, William R. 20 Goldberg, Michael Joseph 20 Lawrie, Andrew G. W. 20 Tataru, Daniel 19 Kopylova, Elena A. 18 Erdoğan, Mehmet Burak 17 Cuccagna, Scipio 16 Lee, Sanghyuk 16 Yao, Xiaohua 15 Côte, Raphaël 15 Shmerkin, Pablo S. 14 Mizutani, Haruya 14 Orponen, Tuomas 14 Solomyak, Boris 14 You, Jiangong 13 Glogić, Irfan 13 Jendrej, Jacek 13 Jitomirskaya, Svetlana Yakovlevna 13 Komech, Alexander Ilich 12 Beceanu, Marius 12 Bourgain, Jean 12 D’Ancona, Piero 12 Nakanishi, Kenji 12 Rodnianski, Igor 12 Shi, Yunfeng 12 Zheng, Jiqiang 11 Collot, Charles 11 Oh, Sung-Jin 11 Tao, Kai 11 Zhang, Junyong 10 Fanelli, Luca 10 Ibrahim, Slim 10 Iosevich, Alex 10 Lührmann, Jonas 10 Maeda, Masaya 10 Schörkhuber, Birgit 10 Szeftel, Jérémie 10 Wei, Juncheng 10 Zhou, Qi 9 Aretakis, Stefanos 9 Chen, Gong 9 Costin, Ovidiu 9 Feng, De-Jun 9 Fillman, Jake 9 Gajic, Dejan 9 Klein, Silvius 9 Marzuola, Jeremy Louis 9 Muñoz, Claudio 9 Musso, Monica 8 Angelopoulos, Yannis 8 Avila, Artur 8 Cuenin, Jean-Claude 8 Duarte, Pedro 8 Kowalczyk, Michał 8 Liu, Wencai 8 Muscalu, Camil 8 Sigal, Israel Michael 8 Stefanov, Atanas G. 8 Varjú, Péter Pál 8 Vougalter, Vitali 8 Xu, Guixiang 7 Bjerklöv, Kristian 7 Dyatlov, Semyon 7 Fu, Yan-Song 7 Ge, Lingrui 7 Huang, Min 7 Liu, Bochen 7 Pusateri, Fabio 7 Seeger, Andreas 7 Tohaneanu, Mihai 7 Voda, Mircea 7 Wu, Xinfeng 7 Yajima, Kenji 6 Beltran, David 6 Benea, Cristina 6 Georgiev, Vladimir S. 6 Goldstein, Michael 6 Gorodetskii, Anton Semenovich 6 Gustafson, Stephen J. 6 Hintz, Peter 6 Inui, Takahisa 6 Järvenpää, Maarit 6 Krüger, Helge 6 Lu, Guozhen 6 Mattila, Pertti 6 Miao, Changxing 6 Murphy, Jason 6 Ou, Yumeng 6 Perelman, Galina 6 Richard, Serge ...and 1,493 more Authors all top 5 Cited in 274 Serials 129 Communications in Mathematical Physics 92 Journal of Functional Analysis 64 Journal of Differential Equations 58 Advances in Mathematics 52 Transactions of the American Mathematical Society 48 Journal of Mathematical Physics 40 Journal of Mathematical Analysis and Applications 38 Proceedings of the American Mathematical Society 32 Mathematische Annalen 32 Annales Henri Poincaré 31 Communications in Partial Differential Equations 31 Discrete and Continuous Dynamical Systems 30 Analysis & PDE 29 Duke Mathematical Journal 27 Journal of Spectral Theory 26 Inventiones Mathematicae 24 SIAM Journal on Mathematical Analysis 21 Archive for Rational Mechanics and Analysis 21 Nonlinearity 20 Journal d’Analyse Mathématique 20 Mathematische Zeitschrift 19 The Journal of Geometric Analysis 18 Memoirs of the American Mathematical Society 18 Journal of the European Mathematical Society (JEMS) 18 Annals of PDE 17 Nonlinear Analysis. 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Serie Quarta 4 Applied Mathematics and Computation 4 Bulletin de la Société Mathématique de France 4 Mathematika 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Proceedings of the London Mathematical Society. Third Series 4 Constructive Approximation 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Analysis in Theory and Applications 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Bulletin of Mathematical Sciences 3 Russian Mathematical Surveys 3 The Annals of Probability 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Number Theory 3 Results in Mathematics 3 Chinese Annals of Mathematics. Series B 3 Journal of Scientific Computing 3 Random Structures & Algorithms 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems. Series B 3 Science China. Mathematics 3 Journal of Pseudo-Differential Operators and Applications ...and 174 more Serials all top 5 Cited in 59 Fields 1,017 Partial differential equations (35-XX) 295 Harmonic analysis on Euclidean spaces (42-XX) 286 Dynamical systems and ergodic theory (37-XX) 255 Quantum theory (81-XX) 249 Operator theory (47-XX) 206 Measure and integration (28-XX) 102 Probability theory and stochastic processes (60-XX) 88 Statistical mechanics, structure of matter (82-XX) 80 Global analysis, analysis on manifolds (58-XX) 75 Number theory (11-XX) 75 Ordinary differential equations (34-XX) 73 Relativity and gravitational theory (83-XX) 62 Functional analysis (46-XX) 48 Difference and functional equations (39-XX) 42 Fluid mechanics (76-XX) 39 Differential geometry (53-XX) 33 Numerical analysis (65-XX) 32 Real functions (26-XX) 31 Functions of a complex variable (30-XX) 21 Combinatorics (05-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 18 Convex and discrete geometry (52-XX) 18 Optics, electromagnetic theory (78-XX) 17 Topological groups, Lie groups (22-XX) 17 Abstract harmonic analysis (43-XX) 16 Integral transforms, operational calculus (44-XX) 15 Mechanics of particles and systems (70-XX) 13 Systems theory; control (93-XX) 10 Potential theory (31-XX) 10 Biology and other natural sciences (92-XX) 9 General and overarching topics; collections (00-XX) 9 Algebraic geometry (14-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Special functions (33-XX) 9 Approximations and expansions (41-XX) 9 Computer science (68-XX) 9 Mechanics of deformable solids (74-XX) 6 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 4 Geophysics (86-XX) 3 Group theory and generalizations (20-XX) 3 Manifolds and cell complexes (57-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Operations research, mathematical programming (90-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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