Steven Morris Zelditch

  • 2316 Citations
1982 …2021
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Personal profile

Research Interests

Partial differential equations on manifolds, Analysis on CR manifolds, Asymptotic distribution of eigenvalues and eigenfunctions, Scattering theory, Random fields.

Education/Academic qualification

Mathematics, PhD, University of California, Berkeley

… → 1981

Mathematics, BA, Harvard University

… → 1975

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Grants 2010 2021

Global Analysis
Harmonic Analysis
Eigenfunctions
Geodesic Flow
Nodal Domain
Global Analysis
Harmonic Analysis
Eigenfunctions
Bergman Kernel
Geodesic
physics
geometry
theoretical physics
lectures
minorities
Geometric Analysis
Riemannian geometry
Complex Geometry
Electronic Mail
General Relativity

Research Output 1982 2018

Log-Scale Equidistribution of Zeros of Quantum Ergodic Eigensections

Chang, R. & Zelditch, S. M., Dec 1 2018, In : Annales Henri Poincare. 19, 12, p. 3783-3814 32 p.

Research output: Contribution to journalArticle

Equidistribution
Polynomial Decay
Decay of Correlations
Unitary Operator
Zero

Quantum Ergodic Sequences and Equilibrium Measures

Zelditch, S. M., Feb 1 2018, In : Constructive Approximation. 47, 1, p. 89-118 30 p.

Research output: Contribution to journalArticle

Equilibrium Measure
Metric
Orthonormal basis
Levenberg-Marquardt
Line Bundle

Addendum to "Critical values of random analytic functions on complex manifolds"

Feng, R. & Zelditch, S. M., 2017, In : Indiana University Mathematics Journal. 66, p. 23-29 7 p.

Research output: Contribution to journalArticle

Scaling of Harmonic Oscillator Eigenfunctions and Their Nodal Sets Around the Caustic

Hanin, B., Zelditch, S. M. & Zhou, P., Mar 1 2017, In : Communications in Mathematical Physics. 350, 3, p. 1147-1183 37 p.

Research output: Contribution to journalArticle

Caustic
Eigenspace
Harmonic Oscillator
harmonic oscillators
Eigenfunctions
2 Citations

Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary

Sogge, C. D. & Zelditch, S. M., Aug 3 2017, In : Communications in Partial Differential Equations. 42, 8, p. 1249-1289 41 p.

Research output: Contribution to journalArticle

Eigenvalues and eigenfunctions
Cauchy
Eigenfunctions
Norm
Riemannian Manifold