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- Steve Zelditch

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
48
Citations
7,207
231
World Ranking
900
National Ranking
438

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Quantum mechanics
- Geometry

His main research concerns Mathematical analysis, Pure mathematics, Combinatorics, Holomorphic function and Line bundle. His Mathematical analysis study incorporates themes from Dynamical billiards, Boundary, Quantum ergodicity and Eigenfunction. Steve Zelditch interconnects Ergodic theory and Laplace operator in the investigation of issues within Quantum ergodicity.

His biological study deals with issues like Bounded function, which deal with fields such as Wave front set and Quantum mechanics. His study in the fields of Dimension under the domain of Combinatorics overlaps with other disciplines such as Difference polynomials. His Line bundle research is multidisciplinary, incorporating elements of Vacuum state, Complex manifold and Orthographic projection.

- Uniform distribution of eigenfunctions on compact hyperbolic surfaces (551 citations)
- Szegö Kernels and a Theorem of Tian (478 citations)
- Distribution of zeros of random and quantum chaotic sections of positive line bundles (257 citations)

Pure mathematics, Mathematical analysis, Combinatorics, Eigenfunction and Holomorphic function are his primary areas of study. His Pure mathematics research integrates issues from Geodesic and Laplace operator. Steve Zelditch has included themes like Dynamical billiards, Ellipse and Boundary in his Mathematical analysis study.

Steve Zelditch has researched Combinatorics in several fields, including Measure, Upper and lower bounds and Subsequence. His work deals with themes such as Riemannian manifold, Invariant, Torus and Mathematical physics, which intersect with Eigenfunction. His Holomorphic function research is multidisciplinary, incorporating perspectives in Symplectic geometry, Ample line bundle and Line bundle.

- Pure mathematics (45.89%)
- Mathematical analysis (32.91%)
- Combinatorics (24.68%)

- Combinatorics (24.68%)
- Eigenfunction (25.32%)
- Pure mathematics (45.89%)

His primary areas of investigation include Combinatorics, Eigenfunction, Pure mathematics, Mathematical physics and Riemannian manifold. His Combinatorics research is multidisciplinary, relying on both Measure, Sequence, Order and Spherical harmonics. His research integrates issues of Cauchy distribution, Mathematical analysis, Laplace operator and Orthonormal basis in his study of Eigenfunction.

His work carried out in the field of Mathematical analysis brings together such families of science as Symmetry and Eccentricity. The study incorporates disciplines such as Function and Domain in addition to Pure mathematics. The Riemannian manifold study combines topics in areas such as Lambda, Geodesic and Spectrum.

- Central limit theorem for spectral partial Bergman kernels (11 citations)
- One can hear the shape of ellipses of small eccentricity (10 citations)
- A Gutzwiller trace formula for stationary space-times (6 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

Steve Zelditch spends much of his time researching Weyl law, Toeplitz matrix, Mathematical physics, Combinatorics and Pure mathematics. His Toeplitz matrix study also includes fields such as

- Series which is related to area like Scaling, Boundary, Propagator, Osculating circle and Critical value,
- Toeplitz operator, Ample line bundle, Law of large numbers, Central limit theorem and Holomorphic function most often made with reference to Kähler manifold. His biological study spans a wide range of topics, including Ergodic theory, Subsequence and Line bundle.

His study in Line bundle is interdisciplinary in nature, drawing from both Measure, Hermitian manifold and Quantum ergodicity. The concepts of his Pure mathematics study are interwoven with issues in Kaluza–Klein theory and Laplace operator. His Eigenvalues and eigenvectors research focuses on subjects like Riemannian manifold, which are linked to Lambda, Zero, Geodesic, Spectral theory and Eigenfunction.

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.

Uniform distribution of eigenfunctions on compact hyperbolic surfaces

Steven Zelditch.

Duke Mathematical Journal **(1987)**

658 Citations

Szegö Kernels and a Theorem of Tian

Steve Zelditch.

International Mathematics Research Notices **(1998)**

587 Citations

Distribution of zeros of random and quantum chaotic sections of positive line bundles

Bernard Shiffman;Steve Zelditch.

Communications in Mathematical Physics **(1999)**

270 Citations

UNIVERSALITY AND SCALING OF CORRELATIONS BETWEEN ZEROS ON COMPLEX MANIFOLDS

Pavel Bleher;Bernard Shiffman;Steve Zelditch.

Inventiones Mathematicae **(2000)**

212 Citations

Ergodicity of eigenfunctions for ergodic billiards

Steven Zelditch;Maciej Zworski.

Communications in Mathematical Physics **(1996)**

203 Citations

Riemannian manifolds with maximal eigenfunction growth

Christopher D. Sogge;Steve Zelditch.

Duke Mathematical Journal **(2002)**

145 Citations

Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds

Bernard Shiffman;Steve Zelditch.

Crelle's Journal **(2002)**

144 Citations

Critical Points and Supersymmetric Vacua I

Michael R. Douglas;Bernard Shiffman;Steve Zelditch.

Communications in Mathematical Physics **(2004)**

141 Citations

Index and dynamics of quantized contact transformations

Steven Zelditch.

Annales de l'Institut Fourier **(1997)**

121 Citations

Spectral determination of analytic bi-axisymmetric plane domains

Steve Zelditch.

Geometric and Functional Analysis **(2000)**

106 Citations

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