Steven Morris Zelditch

  • 2620 Citations
1982 …2021

Research output per year

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Research Output

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

3 Scopus citations

Interface asymptotics of Partial Bergman kernels around a critical level

Zelditch, S. & Zhou, P., Jan 1 2019, In : Arkiv for Matematik. 57, 2, p. 471-492 22 p.

Research output: Contribution to journalArticle

Open Access

Interface asymptotics of partial bergman kernels on S1-symmetric Kähler manifolds

Zelditch, S. & Zhou, P., Jan 1 2019, In : Journal of Symplectic Geometry. 17, 3, p. 793-856 64 p.

Research output: Contribution to journalArticle

2 Scopus citations

Mathematics of quantum chaos in 2019

Zelditch, S., Oct 2019, In : Notices of the American Mathematical Society. 66, 9, p. 1412-1422 11 p.

Research output: Contribution to journalArticle

Open Access
2018

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

Log-Scale Equidistribution of Zeros of Quantum Ergodic Eigensections

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

Research output: Contribution to journalArticle

2 Scopus citations

Pointwise weyl law for partial bergman kernels

Zelditch, S. & 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

3 Scopus citations

Preface

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

Research output: Contribution to journalEditorial

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

1 Scopus citations
2017

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

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

2 Scopus citations

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

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

Research output: Contribution to journalArticle

5 Scopus citations
2016

A Note on Lp-norms of Quasi-modes

Sogge, C. D. & Zelditch, S. M., 2016, Some Topics in Harmonic Analysis and Applications. Li, J., Li, X. & Lu, G. (eds.). International Press of Boston, Inc., p. 385-397 13 p. (Advanced Lectures in Mathematics; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapter

Ergodicité quantique des fonctions d'Eisenstein

Translated title of the contribution: Quantum ergodicity for Eisenstein functionsBonthonneau, Y. & Zelditch, S. M., Sep 1 2016, In : Comptes Rendus Mathematique. 354, 9, p. 907-911 5 p.

Research output: Contribution to journalArticle

Focal points and sup-norms of eigenfunctions

Sogge, C. D. & Zelditch, S., Jan 1 2016, In : Revista Matematica Iberoamericana. 32, 3, p. 971-994 24 p.

Research output: Contribution to journalArticle

9 Scopus citations

Focal points and sup-norms of eigenfunctions II: The two-dimensional case

Sogge, C. D. & Zelditch, S., Jan 1 2016, In : Revista Matematica Iberoamericana. 32, 3, p. 995-999 5 p.

Research output: Contribution to journalArticle

6 Scopus citations

Geodesics and global harmonic analysis

Zelditch, S. M., Jan 1 2016, In : Notices of the American Mathematical Society. 63, 1, p. 15-17 3 p.

Research output: Contribution to journalComment/debate

Heat kernel measures on random surfaces

Klevtsov, S. & Zelditch, S., Jan 1 2016, In : Advances in Theoretical and Mathematical Physics. 20, 1, p. 135-164 30 p.

Research output: Contribution to journalArticle

1 Scopus citations

Logarithmic lower bound on the number of nodal domains

Zelditch, S., Jan 1 2016, In : Journal of Spectral Theory. 6, 4, p. 1047-1086 40 p.

Research output: Contribution to journalArticle

3 Scopus citations
12 Scopus citations

Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary

Jung, J. & Zelditch, S., Apr 1 2016, In : Mathematische Annalen. 364, 3-4, p. 813-840 28 p.

Research output: Contribution to journalArticle

10 Scopus citations

Off-Diagonal Decay of Toric Bergman Kernels

Zelditch, S. M., Dec 1 2016, In : Letters in Mathematical Physics. 106, 12, p. 1849-1864 16 p.

Research output: Contribution to journalArticle

3 Scopus citations

Szegő kernels and Poincaré series

Lu, Z. & Zelditch, S., Nov 1 2016, In : Journal d'Analyse Mathematique. 130, 1, p. 167-184 18 p.

Research output: Contribution to journalArticle

3 Scopus citations
2015

Equidistribution of phase shifts in semiclassical potential scattering

Gell-Redman, J., Hassell, A. & Zelditch, S. M., Apr 17 2015, In : Journal of the London Mathematical Society. 91, 1, p. 159-179 21 p.

Research output: Contribution to journalArticle

3 Scopus citations

Gaussian beams on Zoll manifolds and maximally degenerate Laplacians

Zelditch, S. M., 2015, Spectral Theory and Partial Differential Equations. Friedlander, L. & Garnett, J. (eds.). American Mathematical Society, p. 169-197 29 p. (Contemporary Mathematics; vol. 640).

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

Hausdorff measure of nodal sets of analytic Steklov eigenfunctions

Zelditch, S., Jan 1 2015, In : Mathematical Research Letters. 22, 6, p. 1821-1842 22 p.

Research output: Contribution to journalArticle

4 Scopus citations

Nodal sets of random eigenfunctions for the isotropic harmonic oscillator

Hanin, B., Zelditch, S. & Zhou, P., Jan 1 2015, In : International Mathematics Research Notices. 2015, 13, p. 4813-4839 27 p.

Research output: Contribution to journalArticle

6 Scopus citations

Scaling asymptotics of heat kernels of line bundles

Ma, X., Marinescu, G. & Zelditch, S. M., 2015, nalysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong. Fehan, P. M. N., Song, J., Weinkove, B. & Wentworth, R. A. (eds.). American Mathematical Society, p. 175-202 28 p. (Contemporary Mathematics; vol. 644).

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

2014

Completeness of boundary traces of eigenfunctions

Han, X., Hassell, A., Hezari, H. & Zelditch, S. M., Jan 1 2014, In : Proceedings of the London Mathematical Society. 111, 3, p. 749-773 25 p.

Research output: Contribution to journalArticle

5 Scopus citations

Critical values of random analytic functions on complex manifolds

Feng, R. & Zelditch, S., Jan 1 2014, In : Indiana University Mathematics Journal. 63, 3, p. 651-686 36 p.

Research output: Contribution to journalArticle

6 Scopus citations

Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces

Zelditch, S. M., Feb 1 2014, In : Journal of Differential Geometry. 96, 2, p. 303-351 49 p.

Research output: Contribution to journalArticle

4 Scopus citations

Matrix elements of Fourier Integral Operators

Zelditch, S. M., 2014, Inverse Problems and Applications. Stefanov, P., Vasy, A. & Zworski, M. (eds.). American Mathematical Society, p. 281-309 29 p. (Contemporary Mathematics; vol. 615).

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

Median and mean of the supremum of L2 normalized random holomorphic fields

Feng, R. & Zelditch, S. M., Apr 15 2014, In : Journal of Functional Analysis. 266, 8, p. 5085-5107 23 p.

Research output: Contribution to journalArticle

3 Scopus citations

On eigenfunction restriction estimates and L4-bounds for compact surfaces with nonpositive curvature

Sogge, C. D. & Zelditch, S. M., Jan 5 2014, Advances in Analysis: The Legacy of Elias M. Stein. Princeton University Press, Vol. 9781400848935. p. 447-462 16 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

11 Scopus citations
7 Scopus citations

Stability and integration over Bergman metrics

Klevtsov, S. & Zelditch, S., Jul 2014, In : Journal of High Energy Physics. 2014, 7, 100.

Research output: Contribution to journalArticle

3 Scopus citations

Survey on the Inverse Spectral Problem

Zelditch, S. M., 2014, In : Notices of the International Congress of Chinese Mathematicians. 2, 2, p. 1-20 20 p.

Research output: Contribution to journalArticle

2013

Concerning the L4 norms of typical eigenfunctions on compact surfaces

Sogge, C. D. & Zelditch, S. M., 2013, Recent Developments in Geometry and Analysis. Dong, Y., Fu, J., Lu, G., Sheng, W. & Zhu, X. (eds.). International Press of Boston, Inc., p. 407-423 17 p. (Advanced Lectures in Mathematics; vol. 23).

Research output: Chapter in Book/Report/Conference proceedingChapter

Eigenfunctions and Nodal sets

Zelditch, S. M., 2013, Surveys in Differential Geometry, 2013: Geometry and Topology. Cao, H-D. & Yau, S-T. (eds.). International Press of Boston, Inc., p. 237-308 72 p. (Surveys in Differential Geometry; vol. 18).

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

Large deviations of empirical measures of zeros on riemann surfaces

Zelditch, S., Feb 11 2013, In : International Mathematics Research Notices. 2013, 3, p. 592-664 73 p.

Research output: Contribution to journalArticle

7 Scopus citations

Quantum ergodic restriction for cauchy data: Interior que and restricted que

Christianson, H., Toth, J. A. & Zelditch, S., May 1 2013, In : Mathematical Research Letters. 20, 3, p. 465-475 11 p.

Research output: Contribution to journalArticle

14 Scopus citations

Quantum Ergodic Restriction Theorems: Manifolds Without Boundary

Toth, J. A. & Zelditch, S. M., Apr 1 2013, In : Geometric and Functional Analysis. 23, 2, p. 715-775 61 p.

Research output: Contribution to journalArticle

22 Scopus citations

Random Kähler metrics

Ferrari, F., Klevtsov, S. & Zelditch, S., Apr 1 2013, In : Nuclear Physics B. 869, 1, p. 89-110 22 p.

Research output: Contribution to journalArticle

15 Scopus citations

Random Riesz energies on compact Kähler manifolds

Feng, R. & Zelditch, S. M., Jul 24 2013, In : Transactions of the American Mathematical Society. 365, 10, p. 5579-5604 26 p.

Research output: Contribution to journalArticle

2 Scopus citations
2012

C spectral rigidity of the ellipse

Hezari, H. & Zelditch, S. M., Dec 1 2012, In : Analysis and PDE. 5, 5, p. 1105-1132 28 p.

Research output: Contribution to journalArticle

11 Scopus citations

Gravitational actions in two dimensions and the Mabuchi functional

Ferrari, F., Klevtsov, S. & Zelditch, S. M., Jun 21 2012, In : Nuclear Physics B. 859, 3, p. 341-369 29 p.

Research output: Contribution to journalArticle

16 Scopus citations

Intertwining the geodesic flow and the Schrödinger group on hyperbolic surfaces

Anantharaman, N. & Zelditch, S., Aug 1 2012, In : Mathematische Annalen. 353, 4, p. 1103-1156 54 p.

Research output: Contribution to journalArticle

2 Scopus citations

Lower bounds on the hausdorff measure of nodal sets II

Sogge, H. D. & Zelditch, S., 2012, In : Mathematical Research Letters. 19, 6, p. 1361-1364 4 p.

Research output: Contribution to journalArticle

18 Scopus citations

Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, I

Zelditch, S. M., 2012, Spectral Geometry. Barnett, A. H., Gordon, C. S., Perry, P. A. & Uribe, A. (eds.). American Mathematical Society, p. 299-339 41 p. (Proceedings of Symposia in Pure Mathematics; vol. 84).

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