Steven Morris Zelditch

  • 2503 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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Eigenfunctions Mathematics
Ergodicity Mathematics
Line Bundle Mathematics
Geodesic Mathematics
Random Polynomials Mathematics
Hyperbolic Surface Mathematics
Riemannian Manifold Mathematics
Zero Mathematics

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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 2019

Central limit theorem for spectral partial bergman kernels

Zelditch, S. M. & Zhou, P., Jan 1 2019, In : Geometry and Topology. 23, 4, p. 1961-2004 44 p.

Research output: Contribution to journalArticle

Bergman Kernel
Central limit theorem
Subspace
Density of States
Partial

Log-scale equidistribution of nodal sets in Grauert tubes

Chang, R. & Zelditch, S. M., Jan 1 2018, (Accepted/In press) In : Journal des Mathematiques Pures et Appliquees.

Research output: Contribution to journalArticle

Equidistribution
Eigenvalues and eigenfunctions
Length Scale
Eigenfunctions
Tube
1 Citation (Scopus)

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
1 Citation (Scopus)

Pointwise weyl law for partial bergman kernels

Zelditch, S. M. & Zhou, P., Jan 1 2018, Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. Hitrik, M., Tamarkin, D., Tsygan, B. & Zelditch, S. (eds.). Springer New York LLC, p. 589-634 46 p. (Springer Proceedings in Mathematics and Statistics; vol. 269).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Spectral Projection
Bergman Kernel
Partial
Tauberian theorem
Uniformly continuous

Preface

Hitrik, M., Tamarkin, D. E., Tsygan, B. L. & Zelditch, S. M., Jan 1 2018, In : Springer Proceedings in Mathematics and Statistics. 269, p. v-Xiv

Research output: Contribution to journalEditorial