Zeév Rudnick

3.5k total citations
58 papers, 1.5k citations indexed

About

Zeév Rudnick is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Zeév Rudnick has authored 58 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Mathematical Physics, 33 papers in Algebra and Number Theory and 30 papers in Geometry and Topology. Recurrent topics in Zeév Rudnick's work include Analytic Number Theory Research (31 papers), Mathematical Dynamics and Fractals (23 papers) and Advanced Algebra and Geometry (22 papers). Zeév Rudnick is often cited by papers focused on Analytic Number Theory Research (31 papers), Mathematical Dynamics and Fractals (23 papers) and Advanced Algebra and Geometry (22 papers). Zeév Rudnick collaborates with scholars based in Israel, United States and United Kingdom. Zeév Rudnick's co-authors include Peter Sarnak, Pär Kurlberg, Alexandru Zaharescu, William Duke, Wenzhi Luo, Jonathan P. Keating, K. Soundararajan, Andrew Granville, Ralph S. Phillips and Jean Bourgain and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Zeév Rudnick

53 papers receiving 1.3k citations

Peers

Zeév Rudnick
Frits Beukers Netherlands
Christian Krattenthaler Austria
Alain Lascoux France
É. B. Vinberg Russia
Kenneth J. Dykema United States
Pierre de la Harpe Switzerland
G. A. Margulis United States
Alexander Postnikov United States
I. P. Goulden Canada
Alain Valette Switzerland
Frits Beukers Netherlands
Zeév Rudnick
Citations per year, relative to Zeév Rudnick Zeév Rudnick (= 1×) peers Frits Beukers

Countries citing papers authored by Zeév Rudnick

Since Specialization
Citations

This map shows the geographic impact of Zeév Rudnick'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 Zeév Rudnick with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Zeév Rudnick more than expected).

Fields of papers citing papers by Zeév Rudnick

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Zeév Rudnick. 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 Zeév Rudnick. The network helps show where Zeév Rudnick may publish in the future.

Co-authorship network of co-authors of Zeév Rudnick

This figure shows the co-authorship network connecting the top 25 collaborators of Zeév Rudnick. A scholar is included among the top collaborators of Zeév Rudnick 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 Zeév Rudnick. Zeév Rudnick is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Rudnick, Zeév & Igor Wigman. (2025). Almost Sure GOE Fluctuations of Energy Levels for Hyperbolic Surfaces of High Genus. Annales Henri Poincaré. 26(6). 2279–2291.
2.
Kurlberg, Pär, Alina Ostafe, Zeév Rudnick, & Igor E. Shparlinski. (2025). On Quantum Ergodicity for Higher Dimensional Cat Maps. Communications in Mathematical Physics. 406(8). 174–174.
3.
Rudnick, Zeév & Igor Wigman. (2023). On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus. Journal d Analyse Mathématique. 151(1). 293–302. 4 indexed citations
4.
Rudnick, Zeév. (2013). Square-free values of polynomials over the rational function field. Journal of Number Theory. 135. 60–66. 2 indexed citations
5.
Rudnick, Zeév, et al.. (2013). Low-lying Zeros of Quadratic Dirichlet L-Functions, Hyper-elliptic Curves and Random Matrix Theory. Geometric and Functional Analysis. 23(4). 1230–1261. 16 indexed citations
6.
Rudnick, Zeév, et al.. (2013). THE AUTOCORRELATION OF THE MOBIUS FUNCTION AND CHOWLA'S CONJECTURE FOR THE RATIONAL FUNCTION FIELD. The Quarterly Journal of Mathematics. 65(1). 53–61. 16 indexed citations
7.
Luo, Wenzhi, Zeév Rudnick, & Peter Sarnak. (2009). The variance of arithmetic measures associated to closed geodesics on the modular surface. Journal of Modern Dynamics. 3(2). 271–309. 6 indexed citations
8.
Rudnick, Zeév, et al.. (2008). The Leray measure of nodal sets for random eigenfunctions on the torus. Annales de l’institut Fourier. 58(1). 299–335. 14 indexed citations
9.
Kurlberg, Pär, et al.. (2007). Matrix elements for the quantum cat map: fluctuations in short windows. Nonlinearity. 20(10). 2289–2304. 6 indexed citations
10.
Kurlberg, Pär & Zeév Rudnick. (2005). On the distribution of matrix elements for the quantum cat map. Annals of Mathematics. 161(1). 489–507. 21 indexed citations
11.
Hughes, C. P. & Zeév Rudnick. (2002). Linear statistics for zeros of Riemann's zeta function. Comptes Rendus Mathématique. 335(8). 667–670. 14 indexed citations
12.
Rudnick, Zeév, Peter Sarnak, & Alexandru Zaharescu. (2001). The distribution of spacings between the fractional parts of n 2 α. Inventiones mathematicae. 145(1). 37–57. 53 indexed citations
13.
Kurlberg, Pär & Zeév Rudnick. (2001). . International Mathematics Research Notices. 2001(18). 985–985. 13 indexed citations
14.
Kurlberg, Pär & Zeév Rudnick. (1999). Eigenfunctions of the Quantized Cat Map. arXiv (Cornell University). 2 indexed citations
15.
Kurlberg, Pär & Zeév Rudnick. (1999). The distribution of spacings between quadratic residues. Duke Mathematical Journal. 100(2). 33 indexed citations
16.
Ginzburg, David & Zeév Rudnick. (1998). Stable multiplicities in the length spectrum of Riemann surfaces. Israel Journal of Mathematics. 104(1). 129–144. 4 indexed citations
17.
Rudnick, Zeév & Peter Sarnak. (1994). The n-level correlations of zeros of the zeta function. 319(10). 1027–1032. 13 indexed citations
18.
Phillips, Ralph S. & Zeév Rudnick. (1994). The Circle Problem in the Hyperbolic Plane. Journal of Functional Analysis. 121(1). 78–116. 25 indexed citations
19.
Eskin, Alex, Zeév Rudnick, & Peter Sarnak. (1991). . International Mathematics Research Notices. 1991(5). 65–65. 11 indexed citations
20.
Rudnick, Zeév. (1987). Representation varieties of solvable groups. Journal of Pure and Applied Algebra. 45(3). 261–272. 7 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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