The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
On orthogonal and symplectic matrix ensembles
Open accessOverview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space
Gohberg, I., & Крейн, M. Г. (1969) · Translations of mathematical monographs · doi:10.1090/mmono/018 · Cited by 2,788
Level-spacing distributions and the Airy kernel
Tracy, C. A., & Widom, H. (1994) · Communications in Mathematical Physics · doi:10.1007/bf02100489 · Cited by 1,828
Self-citationFredholm determinants, differential equations and matrix models
Tracy, C. A., & Widom, H. (1994) · Communications in Mathematical Physics · doi:10.1007/bf02101734 · Cited by 354
Self-citationCorrelations between eigenvalues of a random matrix
Dyson, F. J. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01646824 · Cited by 325
Level spacing distributions and the Bessel kernel
Tracy, C. A., & Widom, H. (1994) · Communications in Mathematical Physics · doi:10.1007/bf02099779 · Cited by 317
Self-citationIntroduction to random matrices
Tracy, C. A., & Widom, H. (2005) · Springer eBooks · doi:10.1007/bfb0021444 · Cited by 54
Self-citation
Cited by
Expander graphs and their applications
Hoory, S., Linial, N., & Wigderson, A. (2006) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-06-01126-8 · Cited by 1,723
Eigenvalue-based spectrum sensing algorithms for cognitive radio
Zeng, Y., & Liang, Y.-C. (2009) · IEEE Transactions on Communications · doi:10.1109/tcomm.2009.06.070402 · Cited by 1,258
An empirical Kaiser criterion.
Braeken, J., & van Assen, M. A. L. M. (2017) · Psychological Methods · doi:10.1037/met0000074 · Cited by 435
Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals
Takeuchi, K. A., & Sano, M. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.230601 · Cited by 368
Rigidity of eigenvalues of generalized Wigner matrices
Erdős, L., Yau, H.-T., & Yin, J. (2012) · Advances in Mathematics · doi:10.1016/j.aim.2011.12.010 · Cited by 345
Maximum-Minimum Eigenvalue Detection for Cognitive Radio
Zeng, Y., & Liang, Y.-C. (2007) · 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications · doi:10.1109/pimrc.2007.4394211 · Cited by 327
Maximum Eigenvalue Detection: Theory and Application
Zeng, Y., Koh, C. L., & Liang, Y.-C. (2008) · 2008 IEEE International Conference on Communications · doi:10.1109/icc.2008.781 · Cited by 324
Growing interfaces uncover universal fluctuations behind scale invariance
Takeuchi, K. A., Sano, M., Sasamoto, T., & Spohn, H. (2011) · Scientific Reports · doi:10.1038/srep00034 · Cited by 301
Nadakuditi, R. R., & Edelman, A. (2008) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2008.917356 · Cited by 287
Fluctuation Properties of the TASEP with Periodic Initial Configuration
Borodin, A., Ferrari, P. L., Prähofer, M., & Sasamoto, T. (2007) · Journal of Statistical Physics · doi:10.1007/s10955-007-9383-0 · Cited by 259
Local law and Tracy–Widom limit for sparse random matrices
Lee, J. O., & Schnelli, K. (2018) · Probability Theory and Related Fields · doi:10.1007/s00440-017-0787-8 · Cited by 87
Volume of separable states is super-doubly-exponentially small in the number of qubits
Szarek, S. J. (2005) · Physical Review A · doi:10.1103/physreva.72.032304 · Cited by 62
Biwhitening Reveals the Rank of a Count Matrix
Landa, B., Zhang, T. T. C. K., & Kluger, Y. (2022) · SIAM Journal on Mathematics of Data Science · doi:10.1137/21m1456807 · Cited by 20
Metadata
- Authors
- Tracy, C. A., & Widom, H.
- Venue
- Communications in Mathematical Physics
- Published
- 1996-04
- Volume
- 177
- Issue
- 3
- Pages
- 727-754
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2002912011
- Cited by
- 786
- References
- 6
- FWCI
- 3.17
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
