Steven Morris Zelditch

  • 2288 Citations
1982 …2018
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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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Research Output 1982 2018

Quantum Ergodic Sequences and Equilibrium Measures

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

Research output: Contribution to journalArticle

Equilibrium Measure
Levenberg-Marquardt
Metric
Orthonormal basis
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. & 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
1 Citations

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

Sogge, C. D. & Zelditch, S., 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
2 Citations

The Cauchy problem for the homogeneous Monge-Ampère equation, III. Lifespan

Rubinstein, Y. A. & Zelditch, S., Apr 1 2017, In : Journal fur die Reine und Angewandte Mathematik. 2017, 724

Research output: Contribution to journalArticle

Monge-Ampère Equation
Life Span
Cauchy Problem
Uniqueness of Solutions
Differentiable