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- Maciej Zworski

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
53
Citations
7,768
144
World Ranking
671
National Ranking
345

2010 - Fellow of the American Academy of Arts and Sciences

1999 - Fellow of the Royal Society of Canada Academy of Science

1991 - Fellow of Alfred P. Sloan Foundation

- Quantum mechanics
- Mathematical analysis
- Geometry

His primary areas of study are Mathematical analysis, Quantum mechanics, Scattering, Semiclassical physics and Scattering theory. His work in Boundary value problem and Upper and lower bounds are all subfields of Mathematical analysis research. His study ties his expertise on Mathematical physics together with the subject of Scattering.

His Semiclassical physics research incorporates themes from Flow, Differential operator and Resolvent. His research integrates issues of Eigenvalues and eigenvectors and Laplace operator in his study of Resolvent. The study incorporates disciplines such as Scattering amplitude, Polynomial, Scattering length and Pure mathematics in addition to Scattering theory.

- Scattering matrix in conformal geometry (439 citations)
- Complex scaling and the distribution of scattering poles (298 citations)
- Distribution of poles for scattering on the real line (198 citations)

His primary scientific interests are in Mathematical analysis, Scattering, Mathematical physics, Semiclassical physics and Quantum mechanics. Maciej Zworski regularly links together related areas like Pure mathematics in his Mathematical analysis studies. His work on Scattering theory is typically connected to Complex system as part of general Scattering study, connecting several disciplines of science.

His Mathematical physics research is multidisciplinary, incorporating perspectives in Torus, Hamiltonian and Eigenvalues and eigenvectors, Weyl law. The various areas that Maciej Zworski examines in his Semiclassical physics study include Flow, Dimension, Eigenfunction and Resolvent. His work is dedicated to discovering how Quantum, Chaotic scattering are connected with Bounded function and other disciplines.

- Mathematical analysis (36.18%)
- Scattering (29.15%)
- Mathematical physics (23.12%)

- Mathematical analysis (36.18%)
- Scattering (29.15%)
- Mathematical physics (23.12%)

Mathematical analysis, Scattering, Mathematical physics, Pure mathematics and Scaling are his primary areas of study. Maciej Zworski works on Mathematical analysis which deals in particular with Laplace operator. His Scattering study deals with the bigger picture of Quantum mechanics.

His Mathematical physics study combines topics from a wide range of disciplines, such as Order, Upper and lower bounds, Scattering theory and Spectral theory. The Scattering theory study combines topics in areas such as Zero, Polynomial, Complex number and Conjecture. His research in Scaling intersects with topics in Infinity, Class, Quantum tunnelling and Chiral model.

- Mathematical Theory of Scattering Resonances (108 citations)
- Dynamical zeta functions for Anosov flows via microlocal analysis (86 citations)
- Mathematical study of scattering resonances (78 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

The scientist’s investigation covers issues in Scattering, Mathematical analysis, Semiclassical physics, Mathematical physics and Flow. His work in Scattering addresses subjects such as Mathematical theory, which are connected to disciplines such as Statistical physics. His Mathematical analysis research includes themes of Internal wave and Surface.

His biological study spans a wide range of topics, including Complex number, Weyl law, Quantum and Scattering theory. As a part of the same scientific study, Maciej Zworski usually deals with the Quantum, concentrating on Complex plane and frequently concerns with Fractal and Resolvent. His study looks at the intersection of Flow and topics like Generator with Elliptic operator, Viscosity, Order and Meromorphic function.

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.

Scattering matrix in conformal geometry

C. Robin Graham;Maciej Zworski.

Inventiones Mathematicae **(2003)**

472 Citations

Complex scaling and the distribution of scattering poles

Johannes Sjöstrand;Maciej Zworski.

Journal of the American Mathematical Society **(1991)**

369 Citations

Geometric control in the presence of a black box

Nicolas Burq;Maciej Zworski.

Journal of the American Mathematical Society **(2004)**

223 Citations

RESONANCES IN PHYSICS AND GEOMETRY

M. Zworski.

Notices of the American Mathematical Society **(1999)**

220 Citations

Distribution of poles for scattering on the real line

Maciej Zworski.

Journal of Functional Analysis **(1987)**

207 Citations

Ergodicity of eigenfunctions for ergodic billiards

Steven Zelditch;Maciej Zworski.

Communications in Mathematical Physics **(1996)**

203 Citations

Scattering asymptotics for Riemann surfaces

Laurent Guillopé;Maciej Zworski.

Annals of Mathematics **(1997)**

194 Citations

Pseudospectra of semiclassical (pseudo-) differential operators

Nils Dencker;Johannes Sjöstrand;Maciej Zworski.

Communications on Pure and Applied Mathematics **(2004)**

184 Citations

Scattering metrics and geodesic flow at infinity

Richard Melrose;Maciej Zworski.

Inventiones Mathematicae **(1996)**

175 Citations

Quantum decay rates in chaotic scattering

Stéphane Nonnenmacher;Maciej Zworski.

Acta Mathematica **(2009)**

169 Citations

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