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- Wilhelm Schlag

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
50
Citations
7,062
174
World Ranking
809
National Ranking
404

2015 - Fellow of the American Mathematical Society For contributions to harmonic analysis, mathematical physics, and nonlinear partial differential equations.

2009 - Fellow of John Simon Guggenheim Memorial Foundation

2001 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Quantum mechanics
- Algebra

Wilhelm Schlag spends much of his time researching Mathematical analysis, Schrödinger's cat, Schrödinger equation, Mathematical physics and Combinatorics. His work deals with themes such as Nonlinear system, Exponential stability, Stability theory and Ground state, which intersect with Mathematical analysis. The study incorporates disciplines such as Eigenvalues and eigenvectors, Essential spectrum, Zero-point energy and Dispersive partial differential equation in addition to Schrödinger's cat.

His Schrödinger equation study incorporates themes from Dimension and Neumann series. His Mathematical physics research incorporates elements of Soliton and Hamiltonian. The concepts of his Combinatorics study are interwoven with issues in Discrete mathematics, Image, Compact space and Absolute continuity.

- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials (343 citations)
- Sixty Years of Bernoulli Convolutions (265 citations)
- Renormalization and blow up for charge one equivariant critical wave maps (218 citations)

Wilhelm Schlag mostly deals with Mathematical analysis, Mathematical physics, Wave equation, Schrödinger's cat and Ground state. His Mathematical analysis research includes elements of Scattering, Energy, Nonlinear system, Eigenvalues and eigenvectors and Zero-point energy. His biological study spans a wide range of topics, including Lambda, Hamiltonian, Scattering theory and Eigenfunction.

His study focuses on the intersection of Wave equation and fields such as Norm with connections in the field of Sobolev space. As a part of the same scientific study, he usually deals with the Schrödinger's cat, concentrating on Lyapunov exponent and frequently concerns with Spectrum, Anderson localization and Quasiperiodic function. The various areas that Wilhelm Schlag examines in his Ground state study include Space, Manifold, Blowing up and Disjoint sets.

- Mathematical analysis (58.46%)
- Mathematical physics (27.18%)
- Wave equation (18.97%)

- Mathematical analysis (58.46%)
- Schrödinger's cat (18.46%)
- Mathematical physics (27.18%)

His scientific interests lie mostly in Mathematical analysis, Schrödinger's cat, Mathematical physics, Lyapunov exponent and Wave equation. His Mathematical analysis study combines topics from a wide range of disciplines, such as Light cone, Scattering, Quantum tunnelling and Nonlinear system. He has included themes like Structure and Work in his Schrödinger's cat study.

His Mathematical physics research is multidisciplinary, incorporating elements of Resonance, Real line, Coupling constant and Anderson localization. His Lyapunov exponent research integrates issues from Spectrum, Quasiperiodic function and Interval. The Wave equation study combines topics in areas such as Norm and Energy.

- Profiles for the Radial Focusing 4 d Energy-Critical Wave Equation (13 citations)
- On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling (11 citations)
- Structure formulas for wave operators (10 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary scientific interests are in Mathematical analysis, Schrödinger's cat, Lyapunov exponent, Mathematical physics and Structure. In the field of Mathematical analysis, his study on Wave equation and Sobolev space overlaps with subjects such as Subsequence. His Wave equation study combines topics in areas such as Norm, Energy, Bounded function and Ground state.

His research investigates the connection between Lyapunov exponent and topics such as Spectrum that intersect with issues in Quasiperiodic function. His Mathematical physics research is multidisciplinary, relying on both Invariant, Scaling, Anderson localization and Homogeneity. His studies in Structure integrate themes in fields like Zero-point energy, Representation and Work.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Sixty Years of Bernoulli Convolutions

Yuval Peres;Yuval Peres;Wilhelm Schlag;Boris Solomyak.

**(2000)**

368 Citations

Time decay for solutions of Schrödinger equations with rough and time-dependent potentials

Igor Rodnianski;Wilhelm Schlag.

Inventiones Mathematicae **(2004)**

368 Citations

Classical and Multilinear Harmonic Analysis

Camil Muscalu;Wilhelm Schlag.

**(2013)**

316 Citations

Renormalization and blow up for charge one equivariant critical wave maps

Joachim Krieger;W. Schlag;D. Tataru.

Inventiones Mathematicae **(2008)**

237 Citations

Dispersive Estimates for Schrödinger Operators in Dimensions One and Three

Michael Goldberg;Wilhelm Schlag.

Communications in Mathematical Physics **(2004)**

231 Citations

Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions

Michael Goldstein;Wilhelm Schlag.

Annals of Mathematics **(2001)**

213 Citations

Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions

Yuval Peres;Wilhelm Schlag.

Duke Mathematical Journal **(2000)**

211 Citations

Asymptotic stability of N-soliton states of NLS

I. Rodnianski;W. Schlag;A. Soffer.

arXiv: Analysis of PDEs **(2003)**

196 Citations

Slow blow-up solutions for the H1(R3) critical focusing semilinear wave equation

Joachim Krieger;Wilhelm Schlag;Daniel Tataru.

Duke Mathematical Journal **(2009)**

182 Citations

Invariant Manifolds and Dispersive Hamiltonian Evolution Equations

Kenji Nakanishi;Wilhelm Schlag.

**(2011)**

136 Citations

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