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Zelditch, Steve (b. 1953 d. 2022)

Author ID: zelditch.steve Recent zbMATH articles by "Zelditch, Steve"
Published as: Zelditch, Steve; Zelditch, Steven; Zelditch, S.
Homepage: http://www.scholars.northwestern.edu/expertAddInfo.asp?u_id=2709
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Serials

18 Communications in Mathematical Physics
11 Journal of Functional Analysis
8 Journal of Differential Geometry
8 IMRN. International Mathematics Research Notices
6 Annales de l’Institut Fourier
6 Geometric and Functional Analysis. GAFA
5 Duke Mathematical Journal
5 Mathematical Research Letters
4 Advances in Mathematics
4 Indiana University Mathematics Journal
4 Transactions of the American Mathematical Society
4 Communications in Partial Differential Equations
4 Annales Henri Poincaré
3 Proceedings of the American Mathematical Society
3 The Journal of Symplectic Geometry
3 Pure and Applied Mathematics Quarterly
3 Journal of Spectral Theory
2 Journal d’Analyse Mathématique
2 Nuclear Physics. B
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Revista Matemática Iberoamericana
2 Bulletin of the American Mathematical Society. New Series
2 Annals of Mathematics. Second Series
2 Analysis & PDE
1 Israel Journal of Mathematics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nonlinearity
1 Arkiv för Matematik
1 Reviews in Mathematical Physics
1 Journal of the London Mathematical Society. Second Series
1 Memoirs of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Physica D
1 Constructive Approximation
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Notices of the American Mathematical Society
1 Indagationes Mathematicae. New Series
1 Séminaire Équations aux Dérivées Partielles
1 The Asian Journal of Mathematics
1 Geometry & Topology
1 Advances in Theoretical and Mathematical Physics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of High Energy Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Statistical Mechanics: Theory and Experiment
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Modern Dynamics
1 Science China. Mathematics
1 Springer Proceedings in Mathematics & Statistics
1 CBMS Regional Conference Series in Mathematics
1 Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

163 Publications have been cited 2,380 times in 1,168 Documents Cited by Year
Szegö kernels and a theorem of Tian. Zbl 0922.58082
Zelditch, Steve
215
1998
Uniform distribution of eigenfunctions on compact hyperbolic surfaces. Zbl 0643.58029
Zelditch, Steven
196
1987
Distribution of zeros of random and quantum chaotic sections of positive line bundles. Zbl 0919.32020
Shiffman, Bernard; Zelditch, Steve
89
1999
Universality and scaling of correlations between zeros on complex manifolds. Zbl 0964.60096
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
75
2000
Riemannian manifolds with maximal eigenfunction growth. Zbl 1018.58010
Sogge, Christopher D.; Zelditch, Steve
56
2002
Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds. Zbl 1007.53058
Shiffman, Bernard; Zelditch, Steve
53
2002
Kuznecov sum formulae and Szegö limit formulae on manifolds. Zbl 0749.58062
Zelditch, Steven
44
1992
Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048
Zelditch, Steven; Zworski, Maciej
43
1996
Index and dynamics of quantized contact transformations. Zbl 0865.47018
Zelditch, Steven
39
1997
Reconstruction of singularities for solutions of Schrödinger’s equation. Zbl 0554.35031
Zelditch, Steven
38
1983
Critical points and supersymmetric vacua. I. Zbl 1103.32011
Douglas, Michael R.; Shiffman, Bernard; Zelditch, Steve
36
2004
Local and global analysis of eigenfunctions on Riemannian manifolds. Zbl 1176.58017
Zelditch, Steve
36
2008
Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains. Zbl 1196.58016
Zelditch, Steve
34
2009
Number variance of random zeros on complex manifolds. Zbl 1168.32009
Shiffman, Bernard; Zelditch, Steve
33
2008
Lower bounds on the Hausdorff measure of nodal sets. Zbl 1242.58017
Sogge, Christopher D.; Zelditch, Steve
31
2011
Real and complex zeros of Riemannian random waves. Zbl 1176.58021
Zelditch, Steve
28
2009
About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012
Sogge, Christopher D.; Toth, John A.; Zelditch, Steve
28
2011
Spectral determination of analytic bi-axisymmetric plane domains. Zbl 0961.58012
Zelditch, S.
26
2000
Counting nodal lines which touch the boundary of an analytic domain. Zbl 1180.35395
Toth, John A.; Zelditch, Steve
26
2009
Quantum ergodicity of boundary values of eigenfunctions. Zbl 1054.58022
Hassell, Andrew; Zelditch, Steve
25
2004
Recent developments in mathematical quantum chaos. Zbl 1223.37113
Zelditch, Steve
25
2010
Equilibrium distribution of zeros of random polynomials. Zbl 1006.60003
Shiffman, Bernard; Zelditch, Steve
24
2003
Quantum ergodic restriction theorems: manifolds without boundary. Zbl 1277.53088
Toth, John A.; Zelditch, Steve
24
2013
Riemannian manifolds with uniformly bounded eigenfunctions. Zbl 1022.58013
Toth, John A.; Zelditch, Steve
22
2002
Random polynomials with prescribed Newton polytope. Zbl 1119.60007
Shiffman, Bernard; Zelditch, Steve
21
2004
Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution. Zbl 1335.53048
Jung, Junehyuk; Zelditch, Steve
21
2016
Quantum ergodicity of \(C^*\) dynamical systems. Zbl 0856.58019
Zelditch, Steven
20
1996
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
20
2004
Critical points and supersymmetric vacua, III: String/M models. Zbl 1107.32007
Douglas, Michael R.; Shiffman, Bernard; Zelditch, Steve
20
2006
Random polynomials of high degree and Lévy concentration of measure. Zbl 1060.32012
Shiffman, Bernard; Zelditch, Steve
19
2003
Pseudo-differential analysis on hyperbolic surfaces. Zbl 0612.58048
Zelditch, Steven
19
1986
\(L^p\) norms of eigenfunctions in the completely integrable case. Zbl 1028.58028
Toth, John A.; Zelditch, Steve
19
2003
\(C^\infty\) spectral rigidity of the ellipse. Zbl 1264.35150
Hezari, Hamid; Zelditch, Steve
19
2012
Eigenfunctions of the Laplacian on a Riemannian manifold. Zbl 1408.58001
Zelditch, Steve
18
2017
Fine structure of Zoll spectra. Zbl 0870.58103
Zelditch, Steve
17
1997
Bergman metrics and geodesics in the space of Kähler metrics on toric varieties. Zbl 1282.35428
Song, Jian; Zelditch, Steve
17
2010
Large deviations of empirical measures of zeros of random polynomials. Zbl 1206.60031
Zeitouni, Ofer; Zelditch, Steve
17
2010
Gravitational actions in two dimensions and the Mabuchi functional. Zbl 1246.83074
Ferrari, Frank; Klevtsov, Semyon; Zelditch, Steve
17
2012
On eigenfunction restriction estimates and \(L^4\)-bounds for compact surfaces with nonpositive curvature. Zbl 1307.58013
Sogge, Christopher D.; Zelditch, Steve
17
2014
Lower bounds on the Hausdorff measure of nodal sets. II. Zbl 1283.58020
Sogge, Christopher D.; Zelditch, Steve
17
2012
Determinants of Laplacians in exterior domains. Zbl 0941.58020
Hassell, Andrew; Zelditch, Steve
16
1999
Wave invariants at elliptic closed geodesics. Zbl 0876.58010
Zelditch, S.
16
1997
Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers. Zbl 1062.22026
Tate, Tatsuya; Zelditch, Steve
16
2004
Focal points and sup-norms of eigenfunctions. Zbl 1361.32011
Sogge, Christopher D.; Zelditch, Steve
16
2016
Critical points and supersymmetric vacua. II: Asymptotics and extremal metrics. Zbl 1236.32013
Douglas, Michael R.; Shiffman, Bernard; Zelditch, Steve
16
2006
On the rate of quantum ergodicity. I: Upper bounds. Zbl 0788.58043
Zelditch, Steven
16
1994
Wave invariants for non-degenerate closed geodesics. Zbl 0908.58022
Zelditch, S.
15
1998
Classical limits of eigenfunctions for some completely integrable systems. Zbl 1071.58505
Jakobson, Dmitry; Zelditch, Steve
15
1999
Quantum transition amplitudes for ergodic and for completely integrable systems. Zbl 0721.58051
Zelditch, Steven
15
1990
Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds. I. Zbl 1320.58019
Zelditch, Steve
15
2012
Universality and scaling of zeros on symplectic manifolds. Zbl 1129.58303
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
14
2001
Weyl’s law and quantum ergodicity for maps with divided phase space. With an appendix: Converse quantum ergodicity. Zbl 1109.81037
Marklof, Jens; O’Keefe, Stephen; Zelditch, Steve
14
2005
Complex zeros of real ergodic eigenfunctions. Zbl 1134.37005
Zelditch, Steve
14
2007
Quantum ergodicity on the sphere. Zbl 0759.58049
Zelditch, Steven
14
1992
Random Kähler metrics. Zbl 1262.81086
Ferrari, Frank; Klevtsov, Semyon; Zelditch, Steve
14
2013
Hausdorff measure of nodal sets of analytic Steklov eigenfunctions. Zbl 1344.53034
Zelditch, Steve
14
2015
Norms of modes and quasi-modes revisited. Zbl 1044.58038
Toth, John A.; Zelditch, Steve
13
2003
Mean Lindelöf hypothesis and equidistribution of cusp forms and Eisenstein series. Zbl 0743.58034
Zelditch, Steven
13
1991
Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE. Zbl 1288.58017
Christianson, Hans; Toth, John A.; Zelditch, Steve
13
2013
Eigenfunctions and nodal sets. Zbl 1352.53032
Zelditch, Steve
13
2013
Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards. Zbl 1263.37061
Toth, John A.; Zelditch, Steve
13
2012
The Cauchy problem for the homogeneous Monge-Ampère equation. I: Toeplitz quantization. Zbl 1250.32036
Rubinstein, Yanir A.; Zelditch, Steve
13
2012
The inverse spectral problem for surfaces of revolution. Zbl 0938.58027
Zelditch, Steve
12
1998
Inverse spectral problem for analytic domains. I: Balian-Bloch trace formula. Zbl 1086.58016
Zelditch, Steve
12
2004
Nodal sets of random eigenfunctions for the isotropic harmonic oscillator. Zbl 1319.81042
Hanin, Boris; Zelditch, Steve; Zhou, Peng
12
2015
Number variance of random zeros on complex manifolds. II: Smooth statistics. Zbl 1217.32003
Shiffman, Bernard; Zelditch, Steve
12
2010
Central limit theorem for spectral partial Bergman kernels. Zbl 1434.32013
Zelditch, Steve; Zhou, Peng
12
2019
Maximally degenerate Laplacians. Zbl 0853.58101
Zelditch, Steven
11
1996
Inverse spectral problem for analytic \((\mathbb Z/2\mathbb Z)^n\)-symmetric domains in \(\mathbb R^n\). Zbl 1226.35055
Hezari, Hamid; Zelditch, Steve
11
2010
Overcrowding and hole probabilities for random zeros on complex manifolds. Zbl 1169.32002
Shiffman, Bernard; Zelditch, Steve; Zrebiec, Scott
11
2008
Poincaré-Lelong approach to universality and scaling of correlations between zeros. Zbl 0956.32021
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
10
2000
Patterson-Sullivan distributions and quantum ergodicity. Zbl 1187.81175
Anantharaman, Nalini; Zelditch, Steve
10
2007
Bernstein polynomials, Bergman kernels and toric Kähler varieties. Zbl 1178.32019
Zelditch, Steve
10
2009
Correlations between zeros and supersymmetry. Zbl 0992.60097
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
9
2001
A random matrix model for quantum mixing. Zbl 0858.58048
Zelditch, Steve
9
1996
Selberg trace formulae, pseudodifferential operators, and geodesic periods of automorphic forms. Zbl 0646.10024
Zelditch, Steven
9
1988
Distribution laws for integrable eigenfunctions. Zbl 1081.35063
Shiffman, Bernard; Tate, Tatsuya; Zelditch, Steve
9
2004
Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary. Zbl 1339.53035
Jung, Junehyuk; Zelditch, Steve
9
2016
A Gutzwiller trace formula for stationary space-times. Zbl 1457.58020
Strohmaier, Alexander; Zelditch, Steve
9
2021
Spectral statistics on Zoll surfaces. Zbl 0791.58102
Uribe, Alejandro; Zelditch, Steven
9
1993
Trace formula for compact \(\Gamma \setminus PSL_ 2({\mathbb{R}})\) and the equidistribution theory of closed geodesics. Zbl 0686.10024
Zelditch, Steven
8
1989
Interface asymptotics of partial Bergman kernels on \(S^1\)-symmetric Kähler manifolds. Zbl 1431.53080
Zelditch, Steve; Zhou, Peng
8
2019
Logarithmic lower bound on the number of nodal domains. Zbl 1380.58024
Zelditch, Steve
8
2016
The Cauchy problem for the homogeneous Monge-Ampère equation. III: Lifespan. Zbl 1403.35144
Rubinstein, Yanir A.; Zelditch, Steve
8
2017
Focal points and sup-norms of eigenfunctions II: the two-dimensional case. Zbl 1376.32011
Sogge, Christopher D.; Zelditch, Steve
8
2016
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions: Finite area surfaces. Zbl 0753.11023
Zelditch, Steven
8
1992
The averaging method and ergodic theory for pseudo-differential operators on compact hyperbolic surfaces. Zbl 0693.58025
Zelditch, Steven
8
1989
The Cauchy problem for the homogeneous Monge-Ampère equation. II: Legendre transform. Zbl 1273.35147
Rubinstein, Yanir A.; Zelditch, Steve
8
2011
Note on quantum unique ergodicity. Zbl 1055.58016
Zelditch, Steve
7
2004
Quantum maps and automorphisms. Zbl 1077.53076
Zelditch, Steve
7
2005
On the generic spectrum of a Riemannian cover. Zbl 0722.58044
Zelditch, Steven
7
1990
Bergman approximations of harmonic maps into the space of Kähler metrics on toric varieties. Zbl 1205.53067
Rubinstein, Yanir A.; Zelditch, Steve
7
2010
Szegő kernels and Poincaré series. Zbl 1365.53066
Lu, Zhiqin; Zelditch, Steve
7
2016
Isospectrality in the FIO category. Zbl 0769.53026
Zelditch, Steven
7
1992
On a “Quantum Chaos” theorem of R. Schrader and M. Taylor. Zbl 0771.58046
Zelditch, Steven
7
1992
Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces. Zbl 1303.32002
Zelditch, Steve
7
2014
Critical values of random analytic functions on complex manifolds. Zbl 1303.32013
Feng, Renjie; Zelditch, Steve
7
2014
Test configurations, large deviations and geodesic rays on toric varieties. Zbl 1266.14042
Song, Jian; Zelditch, Steve
7
2012
Concerning the \(L^4\) norms of typical eigenfunctions on compact surfaces. Zbl 1317.58035
Sogge, Christopher D.; Zelditch, Steve
7
2012
Quantum ergodicity of random orthonormal bases of spaces of high dimension. Zbl 1322.81052
Zelditch, Steve
7
2014
One can hear the shape of ellipses of small eccentricity. Zbl 1508.58002
Hezari, Hamid; Zelditch, Steve
5
2022
Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions. Zbl 1509.35400
Wyman, Emmett L.; Xi, Yakun; Zelditch, Steve
2
2022
Entropy of Bergman measures of a toric Kaehler manifold. Zbl 1487.32018
Zelditch, Steve; Flurin, Pierre
1
2022
A Gutzwiller trace formula for stationary space-times. Zbl 1457.58020
Strohmaier, Alexander; Zelditch, Steve
9
2021
Nodal intersections and geometric control. Zbl 1458.35289
Toth, John A.; Zelditch, Steve
5
2021
Semi-classical mass asymptotics on stationary spacetimes. Zbl 1457.83012
Strohmaier, Alexander; Zelditch, Steve
4
2021
Spectral asymptotics on stationary space-times. Zbl 1471.83009
Strohmaier, Alexander; Zelditch, Steve
2
2021
Interface asymptotics of eigenspace Wigner distributions for the harmonic oscillator. Zbl 1460.35241
Hanin, Boris; Zelditch, Steve
2
2020
Schrödinger trace invariants for homogeneous perturbations of the harmonic oscillator. Zbl 1476.35213
Doll, Moritz; Zelditch, Steve
1
2020
Central limit theorem for spectral partial Bergman kernels. Zbl 1434.32013
Zelditch, Steve; Zhou, Peng
12
2019
Interface asymptotics of partial Bergman kernels on \(S^1\)-symmetric Kähler manifolds. Zbl 1431.53080
Zelditch, Steve; Zhou, Peng
8
2019
Interface asymptotics of partial Bergman kernels around a critical level. Zbl 1439.32052
Zelditch, Steve; Zhou, Peng
4
2019
Mathematics of quantum chaos in 2019. Zbl 1432.81038
Zelditch, Steve
3
2019
Pointwise Weyl law for partial Bergman kernels. Zbl 1420.32002
Zelditch, Steve; Zhou, Peng
3
2018
Log-scale equidistribution of zeros of quantum ergodic eigensections. Zbl 1478.37058
Chang, Robert; Zelditch, Steve
2
2018
Local and global analysis of nodal sets. Zbl 1405.58015
Zelditch, Steve
1
2018
Quantum ergodic sequences and equilibrium measures. Zbl 1384.58026
Zelditch, Steve
1
2018
Eigenfunctions of the Laplacian on a Riemannian manifold. Zbl 1408.58001
Zelditch, Steve
18
2017
The Cauchy problem for the homogeneous Monge-Ampère equation. III: Lifespan. Zbl 1403.35144
Rubinstein, Yanir A.; Zelditch, Steve
8
2017
Scaling of harmonic oscillator eigenfunctions and their nodal sets around the caustic. Zbl 1359.81110
Hanin, Boris; Zelditch, Steve; Zhou, Peng
4
2017
Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary. Zbl 1393.35016
Sogge, Christopher D.; Zelditch, Steve
3
2017
Addendum to: “Critical values of random analytic functions on complex manifolds”. Zbl 1373.32017
Feng, Renjie; Zelditch, Steve
1
2017
Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution. Zbl 1335.53048
Jung, Junehyuk; Zelditch, Steve
21
2016
Focal points and sup-norms of eigenfunctions. Zbl 1361.32011
Sogge, Christopher D.; Zelditch, Steve
16
2016
Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary. Zbl 1339.53035
Jung, Junehyuk; Zelditch, Steve
9
2016
Logarithmic lower bound on the number of nodal domains. Zbl 1380.58024
Zelditch, Steve
8
2016
Focal points and sup-norms of eigenfunctions II: the two-dimensional case. Zbl 1376.32011
Sogge, Christopher D.; Zelditch, Steve
8
2016
Szegő kernels and Poincaré series. Zbl 1365.53066
Lu, Zhiqin; Zelditch, Steve
7
2016
A note on \(L^p\)-norms of quasi-modes. Zbl 1364.35219
Sogge, Christopher D.; Zelditch, Steve
6
2016
Park city lectures on eigenfunctions. Zbl 1365.58017
Zelditch, Steve
5
2016
Off-diagonal decay of toric Bergman kernels. Zbl 1360.32005
Zelditch, Steve
4
2016
Quantum ergodicity for Eisenstein functions. (Ergodicité quantique des fonctions d’Eisenstein.) Zbl 1351.58019
Bonthonneau, Yannick; Zelditch, Steve
3
2016
Heat kernel measures on random surfaces. Zbl 1353.32009
Klevtsov, Semyon; Zelditch, Steve
2
2016
Hausdorff measure of nodal sets of analytic Steklov eigenfunctions. Zbl 1344.53034
Zelditch, Steve
14
2015
Nodal sets of random eigenfunctions for the isotropic harmonic oscillator. Zbl 1319.81042
Hanin, Boris; Zelditch, Steve; Zhou, Peng
12
2015
Completeness of boundary traces of eigenfunctions. Zbl 1328.58029
Han, Xiaolong; Hassell, Andrew; Hezari, Hamid; Zelditch, Steve
5
2015
Equidistribution of phase shifts in semiclassical potential scattering. Zbl 1323.35121
Gell-Redman, Jesse; Hassell, Andrew; Zelditch, Steve
3
2015
Scaling asymptotics of heat kernels of line bundles. Zbl 1336.32018
Ma, Xiaonan; Marinescu, George; Zelditch, Steve
2
2015
Gaussian beams on Zoll manifolds and maximally degenerate Laplacians. Zbl 1346.35141
Zelditch, Steve
1
2015
On eigenfunction restriction estimates and \(L^4\)-bounds for compact surfaces with nonpositive curvature. Zbl 1307.58013
Sogge, Christopher D.; Zelditch, Steve
17
2014
Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces. Zbl 1303.32002
Zelditch, Steve
7
2014
Critical values of random analytic functions on complex manifolds. Zbl 1303.32013
Feng, Renjie; Zelditch, Steve
7
2014
Quantum ergodicity of random orthonormal bases of spaces of high dimension. Zbl 1322.81052
Zelditch, Steve
7
2014
Stability and integration over Bergman metrics. Zbl 1333.83047
Klevtsov, Semyon; Zelditch, Steve
4
2014
Median and mean of the supremum of \(L^2\) normalized random holomorphic fields. Zbl 1320.60119
Feng, Renjie; Zelditch, Steve
2
2014
Matrix elements of Fourier integral operator. Zbl 1332.58008
Zelditch, Steve
1
2014
Quantum ergodic restriction theorems: manifolds without boundary. Zbl 1277.53088
Toth, John A.; Zelditch, Steve
24
2013
Random Kähler metrics. Zbl 1262.81086
Ferrari, Frank; Klevtsov, Semyon; Zelditch, Steve
14
2013
Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE. Zbl 1288.58017
Christianson, Hans; Toth, John A.; Zelditch, Steve
13
2013
Eigenfunctions and nodal sets. Zbl 1352.53032
Zelditch, Steve
13
2013
Large deviations of empirical measures of zeros on Riemann surfaces. Zbl 1314.30088
Zelditch, Steve
7
2013
Random Riesz energies on compact Kähler manifolds. Zbl 1295.32013
Feng, Renjie; Zelditch, Steve
3
2013
\(C^\infty\) spectral rigidity of the ellipse. Zbl 1264.35150
Hezari, Hamid; Zelditch, Steve
19
2012
Gravitational actions in two dimensions and the Mabuchi functional. Zbl 1246.83074
Ferrari, Frank; Klevtsov, Semyon; Zelditch, Steve
17
2012
Lower bounds on the Hausdorff measure of nodal sets. II. Zbl 1283.58020
Sogge, Christopher D.; Zelditch, Steve
17
2012
Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds. I. Zbl 1320.58019
Zelditch, Steve
15
2012
Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards. Zbl 1263.37061
Toth, John A.; Zelditch, Steve
13
2012
The Cauchy problem for the homogeneous Monge-Ampère equation. I: Toeplitz quantization. Zbl 1250.32036
Rubinstein, Yanir A.; Zelditch, Steve
13
2012
Test configurations, large deviations and geodesic rays on toric varieties. Zbl 1266.14042
Song, Jian; Zelditch, Steve
7
2012
Concerning the \(L^4\) norms of typical eigenfunctions on compact surfaces. Zbl 1317.58035
Sogge, Christopher D.; Zelditch, Steve
7
2012
Simple matrix models for random Bergman metrics. Zbl 1456.82499
Ferrari, Frank; Klevtsov, Semyon; Zelditch, Steve
5
2012
Intertwining the geodesic flow and the Schrödinger group on hyperbolic surfaces. Zbl 1357.37053
Anantharaman, Nalini; Zelditch, Steve
1
2012
Lower bounds on the Hausdorff measure of nodal sets. Zbl 1242.58017
Sogge, Christopher D.; Zelditch, Steve
31
2011
About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012
Sogge, Christopher D.; Toth, John A.; Zelditch, Steve
28
2011
The Cauchy problem for the homogeneous Monge-Ampère equation. II: Legendre transform. Zbl 1273.35147
Rubinstein, Yanir A.; Zelditch, Steve
8
2011
Random complex fewnomials. I. Zbl 1246.32006
Shiffman, Bernard; Zelditch, Steve
4
2011
Large deviations for zeros of \(P(\varphi)_2\) random polynomials. Zbl 1225.60161
Feng, Renjie; Zelditch, Steve
2
2011
Random zeros on complex manifolds: conditional expectations. Zbl 1222.32036
Shiffman, Bernard; Zelditch, Steve; Zhong, Qi
1
2011
Recent developments in mathematical quantum chaos. Zbl 1223.37113
Zelditch, Steve
25
2010
Bergman metrics and geodesics in the space of Kähler metrics on toric varieties. Zbl 1282.35428
Song, Jian; Zelditch, Steve
17
2010
Large deviations of empirical measures of zeros of random polynomials. Zbl 1206.60031
Zeitouni, Ofer; Zelditch, Steve
17
2010
Number variance of random zeros on complex manifolds. II: Smooth statistics. Zbl 1217.32003
Shiffman, Bernard; Zelditch, Steve
12
2010
Inverse spectral problem for analytic \((\mathbb Z/2\mathbb Z)^n\)-symmetric domains in \(\mathbb R^n\). Zbl 1226.35055
Hezari, Hamid; Zelditch, Steve
11
2010
Bergman approximations of harmonic maps into the space of Kähler metrics on toric varieties. Zbl 1205.53067
Rubinstein, Yanir A.; Zelditch, Steve
7
2010
Addendum to “Energies of zeros of random sections on Riemann surface” Indiana Univ. Math. J. 57 (2008), No. 4, 1753–1780. Zbl 1255.30041
Zelditch, Steve; Zhong, Qi
5
2010
Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains. Zbl 1196.58016
Zelditch, Steve
34
2009
Real and complex zeros of Riemannian random waves. Zbl 1176.58021
Zelditch, Steve
28
2009
Counting nodal lines which touch the boundary of an analytic domain. Zbl 1180.35395
Toth, John A.; Zelditch, Steve
26
2009
Bernstein polynomials, Bergman kernels and toric Kähler varieties. Zbl 1178.32019
Zelditch, Steve
10
2009
Book review of: Xiaonan Ma and George Marinescu, Holomorphic Morse inequalities and Bergman kernels. Zbl 1292.00044
Zelditch, Steve
4
2009
Local and global analysis of eigenfunctions on Riemannian manifolds. Zbl 1176.58017
Zelditch, Steve
36
2008
Number variance of random zeros on complex manifolds. Zbl 1168.32009
Shiffman, Bernard; Zelditch, Steve
33
2008
Overcrowding and hole probabilities for random zeros on complex manifolds. Zbl 1169.32002
Shiffman, Bernard; Zelditch, Steve; Zrebiec, Scott
11
2008
On the spectrum of geometric operators on Kähler manifolds. Zbl 1167.81018
Jakobson, Dmitry; Strohmaier, Alexander; Zelditch, Steve
2
2008
Complex zeros of real ergodic eigenfunctions. Zbl 1134.37005
Zelditch, Steve
14
2007
Patterson-Sullivan distributions and quantum ergodicity. Zbl 1187.81175
Anantharaman, Nalini; Zelditch, Steve
10
2007
Convergence of Bergman geodesics on \(\text{CP}^1\). Zbl 1144.53089
Song, Jian; Zelditch, Steve
5
2007
Critical points and supersymmetric vacua, III: String/M models. Zbl 1107.32007
Douglas, Michael R.; Shiffman, Bernard; Zelditch, Steve
20
2006
Critical points and supersymmetric vacua. II: Asymptotics and extremal metrics. Zbl 1236.32013
Douglas, Michael R.; Shiffman, Bernard; Zelditch, Steve
16
2006
Weyl’s law and quantum ergodicity for maps with divided phase space. With an appendix: Converse quantum ergodicity. Zbl 1109.81037
Marklof, Jens; O’Keefe, Stephen; Zelditch, Steve
14
2005
Quantum maps and automorphisms. Zbl 1077.53076
Zelditch, Steve
7
2005
Critical points and supersymmetric vacua. I. Zbl 1103.32011
Douglas, Michael R.; Shiffman, Bernard; Zelditch, Steve
36
2004
Quantum ergodicity of boundary values of eigenfunctions. Zbl 1054.58022
Hassell, Andrew; Zelditch, Steve
25
2004
Random polynomials with prescribed Newton polytope. Zbl 1119.60007
Shiffman, Bernard; Zelditch, Steve
21
2004
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
20
2004
Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers. Zbl 1062.22026
Tate, Tatsuya; Zelditch, Steve
16
2004
Inverse spectral problem for analytic domains. I: Balian-Bloch trace formula. Zbl 1086.58016
Zelditch, Steve
12
2004
Distribution laws for integrable eigenfunctions. Zbl 1081.35063
Shiffman, Bernard; Tate, Tatsuya; Zelditch, Steve
9
2004
Note on quantum unique ergodicity. Zbl 1055.58016
Zelditch, Steve
7
2004
Macdonald’s identities and the large \(N\) limit of \(YM_2\) on the cylinder. Zbl 1069.81036
Zelditch, Steve
3
2004
...and 63 more Documents
all top 5

Cited by 1,032 Authors

81 Zelditch, Steve
19 Paoletti, Roberto
19 Sogge, Christopher D.
18 Marinescu, George
17 Galkowski, Jeffrey
16 Hezari, Hamid
16 Toth, John Andrew
14 Berman, Robert J.
13 Canzani, Yaiza
13 Loi, Andrea
13 Rivière, Gabriel
12 Hassell, Andrew
12 Ma, Xiaonan
11 Hsiao, Chin-Yu
11 Lu, Zhiqin
11 Wigman, Igor
10 Anantharaman, Nalini
10 Feng, Renjie
10 Feng, Zhiming
10 Strohmaier, Alexander
10 Vũ Ngọc, San
9 Douglas, Michael R.
9 Jakobson, Dmitry
9 Kaloshin, Vadim Yu.
9 Klevtsov, Semyon
9 Pelayo, Alvaro
9 Rudnick, Zeév
9 Sarnak, Peter Clive
9 Shiffman, Bernard
9 Steinerberger, Stefan
8 Charles, Laurent
8 Darvas, Tamás
8 Han, Xiaolong
8 Tu, Zhenhan
8 Zuddas, Fabio
7 Bayraktar, Turgay
7 Bilal, Adel
7 Ingremeau, Maxime
7 Macià, Fabricio
7 Sjöstrand, Johannes
7 Tacy, Melissa
7 Uribe, Alejandro
7 Wyman, Emmett L.
7 Xi, Yakun
6 Ancona, Michele
6 Blair, Matthew D.
6 Engliš, Miroslav
6 Guillemin, Victor W.
6 Hanin, Boris L.
6 Hillairet, Luc
6 Nonnenmacher, Stéphane
6 Robert, Didier
6 Rubinstein, Yanir A.
6 Sabri, Mostafa
6 Seyyedali, Reza
6 Wunsch, Jared
6 Xu, Hao
6 Yesha, Nadav
6 Zhu, Jiuyi
5 Berkolaiko, Gregory
5 Bi, Enchao
5 Christianson, Hans
5 Colin de Verdière, Yves
5 Coman, Dan
5 de Simoi, Jacopo
5 Dyatlov, Semyon
5 Eswarathasan, Suresh
5 Ferrari, Frank
5 Georgiev, Bogdan
5 Guillarmou, Colin
5 Jung, Junehyuk
5 Keller, Julien
5 Kurlberg, Pär
5 Letendre, Thomas
5 Loya, Paul A.
5 Mabuchi, Toshiki
5 Marinucci, Domenico
5 Marklof, Jens
5 Peccati, Giovanni
5 Polterovich, Iosif
5 Ross, Julius
5 Rossi, Maurizia
5 Rowlett, Julie
5 Shao, Guokuan
5 Székelyhidi, Gábor
5 Taylor, Michael Eugene
5 Trélat, Emmanuel
5 Ueberschär, Henrik
5 Vögel, Martin
5 Yau, Shing-Tung
4 Ameur, Yacin
4 Band, Ram
4 Barnett, Alex H.
4 Barron, Tatyana
4 Boucksom, Sébastien
4 Burq, Nicolas
4 De Bièvre, Stephan
4 de Lacroix, Corinne
4 Deleporte, Alix
4 Erbin, Harold
...and 932 more Authors
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Cited in 214 Serials

107 Communications in Mathematical Physics
67 The Journal of Geometric Analysis
46 Journal of Functional Analysis
35 Transactions of the American Mathematical Society
32 Advances in Mathematics
31 Duke Mathematical Journal
29 Journal of Mathematical Physics
29 Proceedings of the American Mathematical Society
29 Annales Henri Poincaré
28 Annales de l’Institut Fourier
26 Communications in Partial Differential Equations
25 Journal of High Energy Physics
19 Mathematische Annalen
19 Mathematische Zeitschrift
19 Annals of Global Analysis and Geometry
16 Israel Journal of Mathematics
14 International Journal of Mathematics
14 Journal of Spectral Theory
12 Journal d’Analyse Mathématique
12 Journal of Mathematical Analysis and Applications
12 Journal of Statistical Physics
12 Letters in Mathematical Physics
12 Journal of Geometry and Physics
12 Geometric and Functional Analysis. GAFA
11 Inventiones Mathematicae
11 Annals of Mathematics. Second Series
11 Analysis & PDE
10 Journal of the Institute of Mathematics of Jussieu
9 Journal für die Reine und Angewandte Mathematik
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Reviews in Mathematical Physics
8 Forum Mathematicum
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal of the European Mathematical Society (JEMS)
7 Nuclear Physics. B
7 Journal of Differential Equations
7 Journal of the American Mathematical Society
7 Bulletin of the American Mathematical Society. New Series
7 Calculus of Variations and Partial Differential Equations
6 Journal of Physics A: Mathematical and Theoretical
6 Analysis and Mathematical Physics
6 Pure and Applied Analysis
5 Communications on Pure and Applied Mathematics
5 Publications Mathématiques
5 Journal of Differential Geometry
5 Journal of the London Mathematical Society. Second Series
5 Revista Matemática Iberoamericana
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Electronic Journal of Probability
5 Computational Methods and Function Theory
5 Forum of Mathematics, Sigma
4 Archive for Rational Mechanics and Analysis
4 Rocky Mountain Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Geometriae Dedicata
4 Journal of the Mathematical Society of Japan
4 Physica D
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Potential Analysis
4 Journal of Mathematical Sciences (New York)
4 Séminaire Laurent Schwartz. EDP et Applications
3 The Annals of Probability
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Compositio Mathematica
3 Manuscripta Mathematica
3 Mathematische Nachrichten
3 Monatshefte für Mathematik
3 Osaka Journal of Mathematics
3 Proceedings of the London Mathematical Society. Third Series
3 Tôhoku Mathematical Journal. Second Series
3 Journal of Complexity
3 Constructive Approximation
3 Journal of Theoretical Probability
3 Russian Journal of Mathematical Physics
3 Applied and Computational Harmonic Analysis
3 Selecta Mathematica. New Series
3 Electronic Communications in Probability
3 Electronic Research Announcements of the American Mathematical Society
3 The Journal of Fourier Analysis and Applications
3 Documenta Mathematica
3 Geometry & Topology
3 Oberwolfach Reports
3 Complex Variables and Elliptic Equations
3 Journal of Pseudo-Differential Operators and Applications
3 Annales Mathématiques du Québec
3 Journal de l’École Polytechnique – Mathématiques
2 Nonlinearity
2 Studia Mathematica
2 Arkiv för Matematik
2 Acta Mathematica
2 American Journal of Mathematics
2 Archiv der Mathematik
2 Indiana University Mathematics Journal
2 Journal of Approximation Theory
2 Mathematika
2 Michigan Mathematical Journal
2 Nagoya Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Pacific Journal of Mathematics
2 Ergodic Theory and Dynamical Systems
...and 114 more Serials
all top 5

Cited in 55 Fields

416 Global analysis, analysis on manifolds (58-XX)
395 Partial differential equations (35-XX)
260 Differential geometry (53-XX)
260 Quantum theory (81-XX)
258 Several complex variables and analytic spaces (32-XX)
152 Probability theory and stochastic processes (60-XX)
132 Dynamical systems and ergodic theory (37-XX)
93 Number theory (11-XX)
88 Operator theory (47-XX)
69 Functions of a complex variable (30-XX)
58 Algebraic geometry (14-XX)
35 Statistical mechanics, structure of matter (82-XX)
31 Relativity and gravitational theory (83-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
27 Functional analysis (46-XX)
24 Topological groups, Lie groups (22-XX)
20 Combinatorics (05-XX)
20 Special functions (33-XX)
19 Potential theory (31-XX)
18 Ordinary differential equations (34-XX)
13 Manifolds and cell complexes (57-XX)
13 Mechanics of particles and systems (70-XX)
12 Abstract harmonic analysis (43-XX)
12 Statistics (62-XX)
12 Numerical analysis (65-XX)
11 Convex and discrete geometry (52-XX)
10 Nonassociative rings and algebras (17-XX)
10 Measure and integration (28-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Group theory and generalizations (20-XX)
8 Computer science (68-XX)
8 Systems theory; control (93-XX)
7 Fluid mechanics (76-XX)
6 General and overarching topics; collections (00-XX)
6 Approximations and expansions (41-XX)
6 Algebraic topology (55-XX)
6 Information and communication theory, circuits (94-XX)
5 Real functions (26-XX)
4 Integral transforms, operational calculus (44-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 \(K\)-theory (19-XX)
1 Difference and functional equations (39-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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