Steven Zelditch

1.4k total citations
29 papers, 707 citations indexed

About

Steven Zelditch is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Steven Zelditch has authored 29 papers receiving a total of 707 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Mathematical Physics, 12 papers in Applied Mathematics and 10 papers in Geometry and Topology. Recurrent topics in Steven Zelditch's work include Mathematical Dynamics and Fractals (11 papers), Advanced Algebra and Geometry (9 papers) and Quantum chaos and dynamical systems (7 papers). Steven Zelditch is often cited by papers focused on Mathematical Dynamics and Fractals (11 papers), Advanced Algebra and Geometry (9 papers) and Quantum chaos and dynamical systems (7 papers). Steven Zelditch collaborates with scholars based in United States and Netherlands. Steven Zelditch's co-authors include Maciej Zworski, Alejandro Uribe, A. J. E. M. Janssen and Alan Weinstein and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Steven Zelditch

26 papers receiving 627 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Steven Zelditch United States	12	485	381	199	143	97	29	707
Jens Marklof United Kingdom	16	329 0.7×	244 0.6×	104 0.5×	51 0.4×	125 1.3×	58	605
Horst Knörrer Switzerland	12	227 0.5×	210 0.6×	282 1.4×	103 0.7×	100 1.0×	42	642
John D. Fay	5	425 0.9×	361 0.9×	535 2.7×	192 1.3×	41 0.4×	5	982
Kimio Ueno Japan	12	268 0.6×	515 1.4×	517 2.6×	107 0.7×	59 0.6×	20	829
Bertrand Eynard France	15	380 0.8×	340 0.9×	454 2.3×	91 0.6×	47 0.5×	25	914
V. Yu. Novokshenov Russia	8	130 0.3×	376 1.0×	193 1.0×	113 0.8×	104 1.1×	37	541
J. F. van Diejen Chile	13	214 0.4×	419 1.1×	328 1.6×	240 1.7×	124 1.3×	67	708
Jean-Benoît Bost France	15	462 1.0×	167 0.4×	590 3.0×	137 1.0×	76 0.8×	27	944
Keith Hannabuss Australia	11	228 0.5×	185 0.5×	132 0.7×	96 0.7×	103 1.1×	49	531
Michael R. Herman France	12	884 1.8×	675 1.8×	526 2.6×	160 1.1×	48 0.5×	18	1.1k

Countries citing papers authored by Steven Zelditch

Since Specialization

Citations

This map shows the geographic impact of Steven Zelditch's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Steven Zelditch with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Steven Zelditch more than expected).

Fields of papers citing papers by Steven Zelditch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Steven Zelditch. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Steven Zelditch. The network helps show where Steven Zelditch may publish in the future.

Co-authorship network of co-authors of Steven Zelditch

This figure shows the co-authorship network connecting the top 25 collaborators of Steven Zelditch. A scholar is included among the top collaborators of Steven Zelditch based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Steven Zelditch. Steven Zelditch is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Zelditch, Steven. (1997). Index and dynamics of quantized contact transformations. Annales de l’institut Fourier. 47(1). 305–363. 52 indexed citations

Zelditch, Steven. (1996). Maximally degenerate laplacians. Annales de l’institut Fourier. 46(2). 547–587. 9 indexed citations

Zelditch, Steven & Maciej Zworski. (1996). Ergodicity of eigenfunctions for ergodic billiards. Communications in Mathematical Physics. 175(3). 673–682. 84 indexed citations

Zelditch, Steven. (1996). Quantum Mixing. Journal of Functional Analysis. 140(1). 68–86. 5 indexed citations

Zelditch, Steven. (1994). On the rate of quantum ergodicity I: Upper bounds. Communications in Mathematical Physics. 160(1). 81–92. 28 indexed citations

Uribe, Alejandro & Steven Zelditch. (1993). Spectral statistics on zoll surfaces. Communications in Mathematical Physics. 154(2). 313–346. 14 indexed citations

Zelditch, Steven. (1992). On a “quantum chaos” theorem of R. Schrader and M. Taylor. Journal of Functional Analysis. 109(1). 1–21. 10 indexed citations

Zelditch, Steven. (1992). Isospectrality in the FIO category. Journal of Differential Geometry. 35(3). 9 indexed citations

Zelditch, Steven. (1991). Mean Lindelöf hypothesis and equidistribution of Cusp forms and Eisenstein series. Journal of Functional Analysis. 97(1). 1–49. 21 indexed citations

10.

Zelditch, Steven. (1991). Geodesics in homology classes and periods of automorphic forms. Advances in Mathematics. 88(1). 113–129. 2 indexed citations

11.

Zelditch, Steven. (1990). Quantum transition amplitudes for ergodic and for completely integrable systems. Journal of Functional Analysis. 94(2). 415–436. 20 indexed citations

12.

Zelditch, Steven. (1990). On the generic spectrum of a riemannian cover. Annales de l’institut Fourier. 40(2). 407–442. 8 indexed citations

13.

Zelditch, Steven. (1989). The averaging method and Ergodic theory for pseudo-differential operators on compact hyperbolic surfaces. Journal of Functional Analysis. 82(1). 38–68. 11 indexed citations

14.

Zelditch, Steven. (1989). Splitting of geodesics in homology classes. Proceedings of the American Mathematical Society. 105(4). 1015–1015.

15.

Zelditch, Steven. (1989). Trace formula for compact Γ∖PSL2(ℝ) and the equidistribution theory of closed geodesics. Duke Mathematical Journal. 59(1). 11 indexed citations

16.

Zelditch, Steven. (1988). A Szegö limit formula for conjugates of ψ DO's by Hecke operators. Journal of Functional Analysis. 77(1). 198–210. 1 indexed citations

17.

Zelditch, Steven. (1986). Pseudo-differential analysis on hyperbolic surfaces. Journal of Functional Analysis. 68(1). 72–105. 28 indexed citations

18.

Janssen, A. J. E. M. & Steven Zelditch. (1983). Szegő limit theorems for the harmonic oscillator. Transactions of the American Mathematical Society. 280(2). 563–587. 4 indexed citations

19.

Zelditch, Steven. (1983). Szegö limit theorems in quantum mechanics. Journal of Functional Analysis. 50(1). 67–80. 3 indexed citations

20.

Janssen, A. J. E. M. & Steven Zelditch. (1983). Szego Limit Theorems for the Harmonic Oscillator. Transactions of the American Mathematical Society. 280(2). 563–563. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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