2013 - Fellow of the American Mathematical Society
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.
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.
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.
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
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.
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Uniform distribution of eigenfunctions on compact hyperbolic surfaces
Duke Mathematical Journal (1987)
Szegö Kernels and a Theorem of Tian
International Mathematics Research Notices (1998)
Distribution of zeros of random and quantum chaotic sections of positive line bundles
Bernard Shiffman;Steve Zelditch.
Communications in Mathematical Physics (1999)
UNIVERSALITY AND SCALING OF CORRELATIONS BETWEEN ZEROS ON COMPLEX MANIFOLDS
Pavel Bleher;Bernard Shiffman;Steve Zelditch.
Inventiones Mathematicae (2000)
Ergodicity of eigenfunctions for ergodic billiards
Steven Zelditch;Maciej Zworski.
Communications in Mathematical Physics (1996)
Riemannian manifolds with maximal eigenfunction growth
Christopher D. Sogge;Steve Zelditch.
Duke Mathematical Journal (2002)
Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
Bernard Shiffman;Steve Zelditch.
Crelle's Journal (2002)
Critical Points and Supersymmetric Vacua I
Michael R. Douglas;Bernard Shiffman;Steve Zelditch.
Communications in Mathematical Physics (2004)
Index and dynamics of quantized contact transformations
Annales de l'Institut Fourier (1997)
Spectral determination of analytic bi-axisymmetric plane domains
Geometric and Functional Analysis (2000)
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