Wilhelm Schlag
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American mathematician
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Wilhelm Schlagmathematics Degrees
Mathematics
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#5298
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#1325
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Harmonic Analysis
#16
World Rank
#17
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#6
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Measure Theory
#2800
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#3338
Historical Rank
#810
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Mathematics
Wilhelm Schlag's Degrees
- PhD Mathematics University of Chicago
- Masters Mathematics University of Vienna
Why Is Wilhelm Schlag Influential?
(Suggest an Edit or Addition)According to Wikipedia, Wilhelm Schlag is a mathematician and Phillips Professor of Mathematics at Yale University. He is known for his work in harmonic analysis and partial differential equations. Career Schlag obtained his PhD at the California Institute of Technology in 1996 under the supervision of Thomas Wolff. Since then, he has held positions at Princeton University, California Institute of Technology and the University of Chicago where he was H. J. Livingston Professor of Mathematics before moving to Yale University in 2018. He has done extensive work in Fourier Analysis, Spectral theory and dispersive partial differential equations. Schlag is one of the managing editors of Inventiones Mathematicae.
Wilhelm Schlag's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials (2001) (347)
- Sixty Years of Bernoulli Convolutions (2000) (322)
- Dispersive Estimates for Schrödinger Operators in Dimensions One and Three (2003) (225)
- Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions (2001) (223)
- Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions (2000) (221)
- Renormalization and blow up for charge one equivariant critical wave maps (2006) (219)
- Concentration Compactness for Critical Wave Maps (2009) (163)
- Invariant Manifolds and Dispersive Hamiltonian Evolution Equations (2011) (158)
- SLOW BLOW-UP SOLUTIONS FOR THE H(R) CRITICAL FOCUSING SEMI-LINEAR WAVE EQUATION (2007) (121)
- Asymptotic stability of N-soliton states of NLS (2003) (120)
- On Pointwise Decay of Linear Waves on a Schwarzschild Black Hole Background (2009) (114)
- Dispersive analysis of charge transfer models (2003) (109)
- Fine Properties of the Integrated Density of States and a Quantitative Separation Property of the Dirichlet Eigenvalues (2005) (106)
- Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: II (2004) (101)
- Global dynamics above the ground state energy for the cubic NLS equation in 3D (2010) (100)
- Anderson localization for Schrödinger operators on Z2 with quasi-periodic potential (2002) (100)
- On the focusing critical semi-linear wave equation (2005) (99)
- Anderson Localization for Schrödinger Operators on ℤ with Potentials Given by the Skew–Shift (2001) (97)
- Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension (2006) (96)
- A limiting absorption principle for the three-dimensional Schrödinger equation with Lp potentials (2004) (94)
- Slow blow-up solutions for the $H^1({\mathbb R}^3)$ critical focusing semilinear wave equation (2009) (94)
- LOCAL SMOOTHING ESTIMATES RELATED TO THE CIRCULAR MAXIMAL THEOREM (1997) (93)
- Dispersive Estimates for Schrödinger Operators in Dimension Two (2004) (90)
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions (2007) (85)
- A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta (2009) (81)
- Global dynamics away from the ground state for the energy-critical nonlinear wave equation (2010) (77)
- Characterization of large energy solutions of the equivariant wave map problem: I (2012) (76)
- Classical and Multilinear Harmonic Analysis (2013) (76)
- Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation (2010) (74)
- Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in R3 (2006) (73)
- Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data (2013) (70)
- A generalization of Bourgain’s circular maximal theorem (1997) (68)
- Stable manifolds for an orbitally unstable nonlinear Schrödinger equation (2009) (67)
- Agmon-kato-kuroda theorems for a large class of perturbations (2004) (66)
- Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday (2007) (66)
- Full range of blow up exponents for the quintic wave equation in three dimensions (2012) (65)
- Center-stable manifold of the ground state in the energy space for the critical wave equation (2013) (64)
- Anderson Localization for Schrödinger Operators on ℤ with Strongly Mixing Potentials (2000) (60)
- Non-generic blow-up solutions for the critical focusing NLS in 1-D (2005) (58)
- On resonances and the formation of gaps in the spectrum of quasi-periodic Schrodinger equations (2005) (57)
- Renormalization and blow up for the critical Yang-Mills problem (2008) (54)
- Spectral theory and nonlinear partial differential equations: A survey (2006) (54)
- GLOBAL DYNAMICS OF THE NONRADIAL ENERGY-CRITICAL WAVE EQUATION ABOVE THE GROUND STATE ENERGY (2011) (52)
- Stable manifolds for an orbitally unstable NLS (2004) (51)
- Global Dynamics Above the Ground State for the Nonlinear Klein–Gordon Equation Without a Radial Assumption (2010) (49)
- Two Erdős problems on lacunary sequences: Chromatic number and Diophantine approximation (2007) (49)
- Characterization of large energy solutions of the equivariant wave map problem: II (2015) (44)
- On the spectral properties of L± in three dimensions (2011) (44)
- Energy partition for the linear radial wave equation (2012) (43)
- Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation (2006) (43)
- Stable soliton resolution for exterior wave maps in all equivariance classes (2014) (42)
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part II (2008) (41)
- Channels of energy for the linear radial wave equation (2014) (41)
- Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions (2012) (39)
- Dispersive estimates for Schr\"{o}dinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: I (2004) (36)
- A Course in Complex Analysis and Riemann Surfaces (2014) (35)
- Global dynamics above the ground state energy for the one-dimensional NLKG equation (2010) (33)
- Profiles for the Radial Focusing 4d Energy-Critical Wave Equation (2014) (33)
- Exotic blowup solutions for the u5 focusing wave equation in ℝ3 (2012) (33)
- Classical and quantum scattering for a class of long range random potentials (2003) (32)
- Large global solutions for energy supercritical nonlinear wave equations on ℝ3+1 (2014) (30)
- Frequency concentration and location lengths for the anderson model at small disorders (2002) (27)
- Stable manifolds for all monic supercritical NLS in one dimension (2005) (26)
- Homogeneity of the spectrum for quasi-periodic Schrödinger operators (2015) (26)
- On the Hardy–Littlewood majorant problem for random sets (2002) (25)
- Scattering for wave maps exterior to a ball (2011) (23)
- A geometric proof of the circular maximal theorem (1998) (23)
- Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein–Gordon equation (2010) (22)
- Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle (1999) (22)
- Invariant Manifolds Around Soliton Manifolds for the Nonlinear Klein-Gordon Equation (2011) (22)
- Classical and Multilinear Harmonic Analysis: Preface (2013) (21)
- On continuum incidence problems related to harmonic analysis (2002) (21)
- Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential (2009) (19)
- On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling (2017) (19)
- A Geometric Inequality with Applications to the Kakeya Problem in Three Dimensions (1998) (19)
- Long time dynamics for damped Klein-Gordon equations (2015) (18)
- Classical and Multilinear Harmonic Analysis: Frontmatter (2013) (18)
- IMPROVEMENTS IN WOLFF’S INEQUALITY FOR DECOMPOSITIONS OF CONE MULTIPLIERS (2010) (17)
- L p ! L q ESTIMATES FOR THE CIRCULAR MAXIMAL FUNCTION (1996) (16)
- Structure formulas for wave operators (2016) (16)
- On the Integrated Density of States for Schrödinger Operators on ℤ2 with Quasi Periodic Potential (2001) (15)
- On localization and the spectrum of multi-frequency quasi-periodic operators (2016) (15)
- Dispersive Estimates for Schr¨odinger Operators: a Survey (2005) (14)
- Energy Growth in Schrödinger's Equation with Markovian Forcing (2003) (14)
- A remark on Littlewood-Paley theory for the distorted Fourier transform (2005) (13)
- Structure formulas for wave operators under a small scaling invariant condition (2017) (13)
- Longer Life and Population Growth (1999) (13)
- On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials (2020) (13)
- Asymptotic stability of the sine-Gordon kink under odd perturbations (2021) (12)
- Generic and non-generic behavior of solutions to the defocusing energy critical wave equation with potential in the radial case (2015) (12)
- A higher-dimensional Bourgain–Dyatlov fractal uncertainty principle (2018) (12)
- Semiclassical Low Energy Scattering for One-Dimensional Schrödinger Operators with Exponentially Decaying Potentials (2011) (12)
- SPECTRAL THEORY AND NONLINEAR PDE: A SURVEY (2005) (11)
- Semiclassical analysis of low and zero energy scattering for one dimensional Schr (2008) (11)
- Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base (2018) (11)
- Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3 (2007) (10)
- Echocardiographic pattern of motion of the aortic root as a correlate of left atrial volume changes. (1980) (10)
- Numerical verification of a gap condition for a linearized NLS equation (10)
- Bernoulli convolutions and an intermediate value theorem for entropies ofK-partitions (2002) (9)
- Dispersive estimates for Schroedinger operators: A survey (2005) (9)
- Linear stability of the Skyrmion (2016) (8)
- Numerical verification of a gap condition for linearized NLS (2005) (8)
- Global center stable manifold for the defocusing energy critical wave equation with potential (2017) (7)
- On the Formation of Gaps in the Spectrum of Schrödinger Operators with Quasi-Periodic Potentials (2006) (7)
- An introduction to multiscale techniques in the theory of Anderson localization, Part I (2021) (7)
- On pointwise decay of waves (2020) (7)
- On Schroedinger operators with dynamically defined potentials (2005) (6)
- Ju l 2 00 6 ON NON-PERTURBATIVE ANDERSON LOCALIZATION FOR C α POTENTIALS GENERATED BY SHIFTS AND SKEW-SHIFTS (2006) (6)
- A stability theory beyond the co-rotational setting for critical Wave Maps blow up. (2020) (6)
- On non-perturbative Anderson localization for C^\alpha potentials generated by shifts and skew-shifts (2006) (5)
- Semi-linear wave equations (2014) (5)
- The Weber equation as a normal form with applications to top of the barrier scattering (2015) (5)
- On Uniformly Distributed Dilates of Finite Integer Sequences (2000) (5)
- Large global solutions for energy supercritical nonlinear wave equations on ℝ3+1 (2017) (5)
- Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle (2018) (4)
- On discrete Schrödinger operators with stochastic potentials (2006) (4)
- Intertwining wave operators, Fourier restriction, and Wiener theorems (2018) (4)
- Long time dynamics for weakly damped nonlinear Klein-Gordon equations (2018) (3)
- Almost everywhere convergence of Fourier series (2012) (3)
- THE METHOD OF CONCENTRATION COMPACTNESS AND DISPERSIVE HAMILTONIAN EVOLUTION EQUATIONS (2012) (3)
- A limiting absorption principle for the Schrodinger equation with L^p potentials (2003) (3)
- Classical and Multilinear Harmonic Analysis: The uncertainty principle (2013) (2)
- Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I (2006) (2)
- The bilinear Hilbert transform (2012) (2)
- Slow blow up solutions for the H 1 (R 3 ) critical focusing semi-linear wave equation. preprint (2008) (2)
- Remembering Jean Bourgain (1954–2018) (2021) (1)
- OBSERVATION INEQUALITIES FOR KLEIN-GORDON EQUATIONS (Nonlinear Wave and Dispersive Equations) (2018) (1)
- Final operation and test period. Aluminum and glass recovery systems at Recovery 1 (1983) (1)
- Scaling invariant smoothing estimates for the schroedinger flow in dimension three (2003) (1)
- On minima of the absolute value of certain random exponential sums (2000) (1)
- Equidistribution of zeros of Dirichlet determinants and fine properties of integrated density of states (2005) (1)
- Health maintenance organizations and the elderly: the potential for vertical integration of geriatric care. (1987) (1)
- Iterated Fourier series and physical reality (2012) (1)
- A roundtable. HMOs in the '80s. (1982) (0)
- ETS volume 33 issue 4 Cover and Back matter (2013) (0)
- Uniqueness of excited states to $-\Delta u+u-u^3=0$ in three dimensions (2021) (0)
- Differential forms on Riemann surfaces (2014) (0)
- Title Slow blow-up solutions for the H ^ 1 ( R ^ 3 ) critical focusing semi-linear wave equation in R ^ 3 Permalink (0)
- Title Invariant Manifolds Around Soliton Manifolds for the Nonlinear Klein‒Gordon Equation (2017) (0)
- From to : The basics of complex analysis (2014) (0)
- Energy partition for the linear radial wave equation (2013) (0)
- A P ] 2 3 A ug 2 01 1 ON POINTWISE DECAY OF LINEAR WAVES ON A SCHWARZSCHILD BLACK HOLE (2011) (0)
- [Comparative study on various methods for the isolation of peripheral human lymphocytes]. (1972) (0)
- Antoni Zygmund’s Work on Singular Integrals (2012) (0)
- Wilhelm Schlag: A Course in Complex Analysis and Riemann Surfaces : [könyvismertetés] (2015) (0)
- Center-stable manifold of the ground state in the energy space for the critical wave equation (2014) (0)
- Continuous in time bubble decomposition for the harmonic map heat flow (2023) (0)
- Classical and Multilinear Harmonic Analysis: Harmonic functions; Poisson kernel (2013) (0)
- Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions (2014) (0)
- SIXTY YEARS OF BERNOULLI CONVOLUTIONSYUVAL PERES (1999) (0)
- Title Global dynamics above the ground state energy for thefocusing nonlinear (2018) (0)
- On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling (2019) (0)
- The theorems of Riemann-Roch, Abel, and Jacobi (2014) (0)
- Appendix: Multilinear interpolation (2012) (0)
- MANIFOLDS WITH CONICAL ENDS, PART II (2008) (0)
- From to the Riemann mapping theorem: Some finer points of basic complex analysis (2014) (0)
- Semiclassical Low Energy Scattering for One-Dimensional Schrödinger Operators with Exponentially Decaying Potentials (2011) (0)
- Paraproducts on polydisks (2012) (0)
- Classical and Multilinear Harmonic Analysis: References (2013) (0)
- Fourier series: convergence and summability (2012) (0)
- Stable soliton resolution for equivariant wave maps exterior to a ball (2015) (0)
- ON MANIFOLDS WITH CONICAL ENDS, PART I (2008) (0)
- Laws of pure type 4 . Dimensions of Bernoulli convolutions 5 . Bernoulli convolutions and Salem numbers 6 (2011) (0)
- Classical and Multilinear Harmonic Analysis: The Fourier transform on ℝ d and on LCA groups (2013) (0)
- Classical and Multilinear Harmonic Analysis: Fourier restriction and applications (2013) (0)
- Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of $\mathbb{C}^2$ (2016) (0)
- Riemann surfaces: Definitions, examples, basic properties (2014) (0)
- Avila's acceleration via zeros of determinants, and applications to Schr\"odinger cocycles (2022) (0)
- LONG TIME DYNAMICS FOR DAMPED KLEIN-GORDON EQUATIONS DYNAMIQUE EN TEMPS GRAND DES SOLUTIONS DE L’ÉQUATION DE KLEIN-GORDON AMORTIE (2016) (0)
- Analytic continuation, covering surfaces, and algebraic functions (2014) (0)
- Correlations Between Aortic Root Motion and Left Atrial Volume Changes (1979) (0)
- Thomas H. Wolff (1954–2000), Volume 48, Number 5 (2001) (0)
- Calderón–Zygmund theory of singular integrals (2012) (0)
- Global dynamics above the ground state energy for the one-dimensional NLKG equation (2011) (0)
- HMOs in the '80s (1982) (0)
- On codimension one stability of the soliton for the 1D focusing cubic Klein-Gordon equation (2023) (0)
- Classical and Multilinear Harmonic Analysis: Introduction to probability theory (2013) (0)
- DISPERSIVE ESTIMATES, STRICHARTZ ESTIMATES AND SMOOTHING EFFECTS (2015) (0)
- Classical and Multilinear Harmonic Analysis: Fourier series and randomness (2013) (0)
- Profiles for the Radial Focusing 4d Energy-Critical Wave Equation (2017) (0)
- On Pointwise Decay of Linear Waves on a Schwarzschild Black Hole Background (2011) (0)
- Classical and Multilinear Harmonic Analysis: Conjugate harmonic functions; Hilbert transform (2013) (0)
- Leibnitz rules and the generalized Korteweg–de Vries equation (2012) (0)
- Classical and Multilinear Harmonic Analysis: Introduction to the Weyl calculus (2013) (0)
- Global Dynamics Above the Ground State for the Nonlinear Klein–Gordon Equation Without a Radial Assumption (2011) (0)
- Classical and Multilinear Harmonic Analysis: Littlewood–Paley theory (2013) (0)
- Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data (2014) (0)
- Aluminum and glass recovery systems: second-generation design (1983) (0)
- Review of some basic background material (2014) (0)
- Global dynamics above the ground state energy for the cubic NLS equation in 3D (2011) (0)
- [Lymphocyte stimulation in patients in the chronic lymphatic leukemia: separation of peripheral lymphocytes through a discontinuous albumin density gradient]. (1973) (0)
- A P ] 1 9 O ct 2 01 0 GLOBAL DYNAMICS AWAY FROM THE GROUND STATE FOR THE ENERGY-CRITICAL NONLINEAR WAVE EQUATION (0)
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