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Paper Citation Record · LEDGER

Finite size corrections in the bulk for circular $\beta$ ensembles

As of 18 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 3 inbound Pith citation observations for arXiv:2505.09865.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.09865 v2

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:37:22.359724Z

measured 81 of 81 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:43:20.203586Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-21T23:55:48.005156Z

Reference resolution

78 of 78 outbound references displayed

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External citation measurements

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Outbound references

Observation eb2e766f-2ca9-4887-99be-e1a5cf313e94 · outbound

This paper cites Abramowitz and I.A.

Finite size corrections in the bulk for circular $\beta$ ensembles Abramowitz and I.A

Reference 1

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6487e7f9-e643-4af3-9002-b5d2b6e777cd · outbound

This paper cites Aomoto,Jacobi polynomials associated with Selberg’s integral, SIAM J.

Finite size corrections in the bulk for circular $\beta$ ensembles Aomoto,Jacobi polynomials associated with Selberg’s integral, SIAM J

Reference 2

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9d85c4be-f7f9-49a3-a0fa-15172f950fb3 · outbound

This paper cites Baik and R.

Finite size corrections in the bulk for circular $\beta$ ensembles Baik and R

Reference 3

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Observation 2d32df41-b4bc-41b6-b7bb-fb7b82232e2e · outbound

This paper cites Bogomolny, O.

Finite size corrections in the bulk for circular $\beta$ ensembles Bogomolny, O

Reference 4

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ff6a4927-4f95-4d29-9d9a-f17a2b29d6ec · outbound

This paper cites Bohigas and M.P.

Finite size corrections in the bulk for circular $\beta$ ensembles Bohigas and M.P

Reference 5

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4953e0ce-fb50-49d4-9b98-8ce64a901b45 · outbound

This paper cites Bornemann,On the numerical evaluation of Fredholm determinants, Math.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,On the numerical evaluation of Fredholm determinants, Math

Reference 6

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 80dd235e-dd3a-47c4-9628-1e78962daf6f · outbound

This paper cites Bornemann, On the numerical evaluation of distributions in random matrix theory: a review, Markov Processes Relat.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann, On the numerical evaluation of distributions in random matrix theory: a review, Markov Processes Relat

Reference 7

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Observation 981abc6e-cbe4-46c4-a4c1-354478d5d667 · outbound

This paper cites Bornemann,A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge, Ann.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge, Ann

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a65c60aa-c058-47f2-bc7e-190bfce8b367 · outbound

This paper cites Bornemann,Asymptotic expansions relating to the lengths of longest monotone subsequences of involutions, Experimental Math.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions relating to the lengths of longest monotone subsequences of involutions, Experimental Math

Reference 9

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Observation 7c3ee092-724c-481f-aae2-64cd9de4a470 · outbound

This paper cites Bornemann,Asymptotic expansions relating to the distribution of the length of longest increasing subsequences, Forum Math.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions relating to the distribution of the length of longest increasing subsequences, Forum Math

Reference 10

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Observation 1da5bbf8-26c1-4d34-b530-efac2bebcc14 · outbound

This paper cites Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge.

Finite size corrections in the bulk for circular $\beta$ ensembles Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge

Reference 11

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Observation 5e331e47-046e-45ae-8a3b-250e4e22a952 · outbound

This paper cites Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge II: level densities, arXiv:2503.12644.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge II: level densities, arXiv:2503.12644

Reference 12

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Observation 7f0f8b94-4017-4801-aa04-e43f2c44883c · outbound

This paper cites Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge III: Generating functions, Manuscript in preparation (2025).

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge III: Generating functions, Manuscript in preparation (2025)

Reference 13

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4227a7e2-eeec-42d6-8628-b7e41881a111 · outbound

This paper cites Bornemann, P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann, P.J

Reference 14

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4e8310b3-1128-4239-a076-0e0e3bf23069 · outbound

This paper cites Borodin and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Borodin and P.J

Reference 15

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Observation 44586d91-fb93-4e1e-bb84-fdb20ed4bbe9 · outbound

This paper cites Borot, A.

Finite size corrections in the bulk for circular $\beta$ ensembles Borot, A

Reference 16

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ca40c39c-a3a1-47d2-a5e3-122ab42073c2 · outbound

This paper cites Brini, M.

Finite size corrections in the bulk for circular $\beta$ ensembles Brini, M

Reference 17

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ccfb8d3b-f336-4a49-8863-95fba07c3ff8 · outbound

This paper cites Byun and Y.-W.

Finite size corrections in the bulk for circular $\beta$ ensembles Byun and Y.-W

Reference 18

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Observation 4d4afe65-5f77-4734-bad2-af3dc4dc39af · outbound

This paper cites Constantine,Some noncentral distribution problems in multivariate analysis, Ann.

Finite size corrections in the bulk for circular $\beta$ ensembles Constantine,Some noncentral distribution problems in multivariate analysis, Ann

Reference 19

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 447f2c77-6496-4469-a2b4-9b125f1d5443 · outbound

This paper cites Diaconis and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Diaconis and P.J

Reference 20

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1b16b826-6b04-4373-a6e8-c0440aa4b86b · outbound

This paper cites Dumitriu and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Dumitriu and A

Reference 21

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Observation 42d58438-e6e9-44b7-8aaa-22700a59d8f1 · outbound

This paper cites Dyson,Statistical theory of energy levels of complex systems I, J.

Finite size corrections in the bulk for circular $\beta$ ensembles Dyson,Statistical theory of energy levels of complex systems I, J

Reference 22

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Observation 9da99c87-9bdb-447d-b4cf-71172c3437cf · outbound

This paper cites Dyson,Statistical theory of energy levels of complex systems III, J.

Finite size corrections in the bulk for circular $\beta$ ensembles Dyson,Statistical theory of energy levels of complex systems III, J

Reference 23

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Observation d6039f3f-d309-4b75-8b97-872c72473731 · outbound

This paper cites Edelman, A.

Finite size corrections in the bulk for circular $\beta$ ensembles Edelman, A

Reference 24

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 988ba0ab-7b52-4b09-8816-934ce236eef4 · outbound

This paper cites Feng and D.

Finite size corrections in the bulk for circular $\beta$ ensembles Feng and D

Reference 25

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raw_fallback, observed 2026-08-15T21:37:23.480611Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3db4b834-1020-45f8-9fb2-ba39749cdd29 · outbound

This paper cites Forrester,Selberg correlation integrals and the1/r2 quantum many body system, Nucl.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Selberg correlation integrals and the1/r2 quantum many body system, Nucl

Reference 26

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raw_fallback, observed 2026-08-15T21:37:23.465334Z

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Observation 75d31c2b-948a-4e6e-a1dd-37b51e24b80b · outbound

This paper cites Forrester,The spectrum edge of random matrix ensembles, Nucl.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,The spectrum edge of random matrix ensembles, Nucl

Reference 27

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no resolver link, observed 2026-08-15T21:37:22.088084Z

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source=pdf_text observed=2026-08-15T21:37:22.088084Z digest=sha256:ac60219798f548526f08ef1ccaf793864b38ff73990c9ab564727af417db490d

Observation f6c97f9a-2441-4b24-8b0f-5312b47e7ce6 · outbound

This paper cites Forrester,Addendum to Selberg correlation integrals and the1/r2 quantum many body system, Nucl.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Addendum to Selberg correlation integrals and the1/r2 quantum many body system, Nucl

Reference 28

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raw_fallback, observed 2026-08-15T21:37:23.440656Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 030d1b7e-7b27-4a35-95f0-35808a9350b3 · outbound

This paper cites Forrester,Log-gases and random matrices, Princeton University Press, Princeton, NJ, 2010.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Log-gases and random matrices, Princeton University Press, Princeton, NJ, 2010

Reference 29

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no resolver link, observed 2026-08-15T21:37:22.099118Z

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source=pdf_text observed=2026-08-15T21:37:22.099118Z digest=sha256:9b0ba665fffbf9377b32b3563512b7e871912242ed9920fdb1a4ebb1c34d3de3

Observation 8f1988bf-a4c6-4fab-a579-c4d19d4c858c · outbound

This paper cites Forrester,Differential identities for the structure function of some random matrix ensembles, J.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Differential identities for the structure function of some random matrix ensembles, J

Reference 30

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raw_fallback, observed 2026-08-15T21:37:23.412668Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5de2a794-d024-455f-a0e3-3b37009e84c3 · outbound

This paper cites an unresolved cited work.

Finite size corrections in the bulk for circular $\beta$ ensembles Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 819f34db-1305-45c4-a899-8b65eb5fbb1a · outbound

This paper cites Ensemble inter-relations in random matrix theory.

Finite size corrections in the bulk for circular $\beta$ ensembles Ensemble inter-relations in random matrix theory

Reference 32

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local_arxiv, observed 2026-08-15T21:37:22.598774Z

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Observation 0ce7ca42-22ca-4783-984f-d91772484a2e · outbound

This paper cites Dualities in random matrix theory.

Finite size corrections in the bulk for circular $\beta$ ensembles Dualities in random matrix theory

Reference 33

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no resolver link, observed 2026-08-15T21:37:22.118874Z

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Observation 97e7a68b-332f-4656-b181-cd4c4918ecd8 · outbound

This paper cites Forrester, S.-H.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester, S.-H

Reference 34

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Observation e39cc72d-380a-446f-b9e7-69717906d017 · outbound

This paper cites Forrester and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A

Reference 35

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raw_fallback, observed 2026-08-15T21:37:23.362850Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e7ed935e-f503-443a-bc8e-bea5087abc87 · outbound

This paper cites Forrester and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.133764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.133764Z digest=sha256:dcc2db2af0deede88ea6c12656143fa16a205fe02083b389ef5b466759c0a3fb

Observation 47de25bd-8782-49e2-94a0-b3223d482064 · outbound

This paper cites Forrester, T.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester, T

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.337740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.138504Z digest=sha256:4c1054c3c0211d4f2ae08222fd8651929afc3dc7689e093d239859063fbbe018

Observation 9c3aed3c-1a0b-4ba4-84f2-d73e28fe26af · outbound

This paper cites Forrester, J.H.H.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester, J.H.H

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.142940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.142940Z digest=sha256:ad7c4e5a8cce4b6bda28882b3a0e1b5d6d69ea0dadc39a8fa2dd0e9d6d58ba80

Observation cf7a2e0f-8a2c-40cc-92a9-f35c68589484 · outbound

This paper cites Forrester and B.-J.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and B.-J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.312338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.147393Z digest=sha256:aad92485152f39b357cd9cd44c5914948f888304617d2a7d21b9ff85ad2eb795

Observation 7a8336d0-358a-46c5-9c9c-fb04b23c0a3a · outbound

This paper cites Forrester and A.K.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A.K

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.297316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.151862Z digest=sha256:85617fd48d524191af5521abd137f4afc0ca607ce9de14a4423c8ba1884dbb26

Observation 473afe10-7137-41a3-a636-7981be79e158 · outbound

This paper cites Forrester and A.K.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A.K

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.282272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.156138Z digest=sha256:5d9bb1c1ac117b6bb228ab0290977104a2f3ba797fc2237d9a797c0d98131bbb

Observation 2857a77e-9946-4c3e-b8c7-9a00b75dc3a8 · outbound

This paper cites Forrester and A.K.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A.K

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.265464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.160723Z digest=sha256:c9445f641b21c37d35f8d74bad2896f673ecd311494f558691e41710f4348db4

Observation 74efda19-4ca2-4a36-b584-2d84539ce82d · outbound

This paper cites Forrester and N.S.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and N.S

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.247974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.165122Z digest=sha256:4188b5783ad6d754241a6085933393edd0773ef3b9286a68da6b7852accefcc9

Observation 0f2aab0f-fe25-424c-8493-7a4ffdd66450 · outbound

This paper cites Garoni, P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Garoni, P.J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.232749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.170373Z digest=sha256:0ff4a3c5b8514d47dc056a02a1b578d9c2e8df1dddd0e9291aa5ee2818d0fcf5

Observation 6dcf430e-21dc-4076-ad0b-6249453ceb4f · outbound

This paper cites Götze and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Götze and A

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.217436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.175043Z digest=sha256:8f8781b90d7bb712f26d69cf3c04796fcfbac90e5651a06eff34bb5551d2ac6a

Observation d6bbc381-25b5-4356-aec6-eea5bfd203fc · outbound

This paper cites Haake,Quantum signatures of chaos, 2nd ed., Springer, Berlin, 2000.

Finite size corrections in the bulk for circular $\beta$ ensembles Haake,Quantum signatures of chaos, 2nd ed., Springer, Berlin, 2000

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.202080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.180454Z digest=sha256:5929825dbfe8e5ebc336d80828fd8f6aca718a51a9be1d7b6cfea3a043522340

Observation 46c80e79-0adf-4e10-bc64-f56f0d9428d2 · outbound

This paper cites Haake, M.

Finite size corrections in the bulk for circular $\beta$ ensembles Haake, M

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.186159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.197392Z digest=sha256:385dae7e503c0f65f386c4d9871a68e6414920ae8ec18133537aebc203cc7d10

Observation e4dd382d-9a43-43a1-bf78-66d23916dc40 · outbound

This paper cites Hachem, A.

Finite size corrections in the bulk for circular $\beta$ ensembles Hachem, A

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.201981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.201981Z digest=sha256:f93fada87eadf129ac54e5bf6d1a06af50ef5c2f837c113580f0521ac5827dd6

Observation 2fa916ec-f3d6-4e23-b46a-531a93392fba · outbound

This paper cites Herz,Bessel functions of matrix argument, Ann.

Finite size corrections in the bulk for circular $\beta$ ensembles Herz,Bessel functions of matrix argument, Ann

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.161054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.206499Z digest=sha256:ec0858ad4aedb9bddd706f5773a6d8841539987331cedf472cfed37450d4e9ae

Observation 870a0ec7-5dac-441c-a755-531da63bb406 · outbound

This paper cites Jimbo, T.

Finite size corrections in the bulk for circular $\beta$ ensembles Jimbo, T

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.146313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.211536Z digest=sha256:d81c1dc993a10a6c4fe8749d7b2d95e0e41ea39fb21e80e83e2ab594045513e7

Observation c49044a4-2f81-4751-8e00-88b5d5f9a377 · outbound

This paper cites Johnstone and Z.

Finite size corrections in the bulk for circular $\beta$ ensembles Johnstone and Z

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.131957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.216085Z digest=sha256:739f432952214e3aed06d44412cfb6e19a861443bcdd19a7f5da4ed3694ae9eb

Observation ee82c2bd-6894-47d3-9d7e-cffccf90a5d8 · outbound

This paper cites Kaneko,Selberg integrals and hypergeometric functions associated with Jack polynomials, SIAM J.

Finite size corrections in the bulk for circular $\beta$ ensembles Kaneko,Selberg integrals and hypergeometric functions associated with Jack polynomials, SIAM J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.115695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.221103Z digest=sha256:c3373d5286ac222f42ee3a851e4616033a4d4c555b23426c8756247a7a483998

Observation cd55b52c-dbfd-4315-b2b3-34eab0a499b1 · outbound

This paper cites Keating and N.C.

Finite size corrections in the bulk for circular $\beta$ ensembles Keating and N.C

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.098926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.226678Z digest=sha256:7877c86026b1390d7b4b3ea52620e12cd5824b12020a30f764d27fb5914cb788

Observation 973e2f4b-c19d-4478-acd0-6fbdb7007297 · outbound

This paper cites Killip and I.

Finite size corrections in the bulk for circular $\beta$ ensembles Killip and I

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.083613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.232273Z digest=sha256:3372066652cb7a321981df51790c35358efda9f1f17625245c395df18ea99129

Observation a0f0c53e-90cd-4095-8859-df3f8774e701 · outbound

This paper cites Kuramoto and Y.

Finite size corrections in the bulk for circular $\beta$ ensembles Kuramoto and Y

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.067986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.236922Z digest=sha256:20e0dbe31411ab8a47eb13dc7985f433e7e78d706f2a43179b41bcad3e9f6d14

Observation dd7b631b-b200-45b5-8c3c-2a6b9d205b9c · outbound

This paper cites Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains.

Finite size corrections in the bulk for circular $\beta$ ensembles Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:37:22.560787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.241508Z digest=sha256:7acf435a881c5d18a8d444dae1844bdd53db2e67dba2d016524fc66f33529f40

Observation 20a45d0d-2fab-4681-acfd-a967f604de53 · outbound

This paper cites Ma,Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices, Bernoulli18(2012), 322–359.

Finite size corrections in the bulk for circular $\beta$ ensembles Ma,Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices, Bernoulli18(2012), 322–359

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.053023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.246737Z digest=sha256:35328d8fd040507e11542f307b9271f4801f77b544fefff4886ca1bc0bf90b88

Observation 46695c68-6cb0-417b-8dfe-736427c87b69 · outbound

This paper cites Macdonald,Hall polynomials and symmetric functions, 2nd ed., Oxford University Press, Oxford, 1995.

Finite size corrections in the bulk for circular $\beta$ ensembles Macdonald,Hall polynomials and symmetric functions, 2nd ed., Oxford University Press, Oxford, 1995

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.037426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.251853Z digest=sha256:54c4425683a6d2c8110435997d9ca481f83a00c8b2fd00b70804e8b8860f64a6

Observation 48566b79-df64-4c26-9879-76391603bae6 · outbound

This paper cites Mehta,Random matrices, 3rd ed., Elsevier, San Diego, 2004.

Finite size corrections in the bulk for circular $\beta$ ensembles Mehta,Random matrices, 3rd ed., Elsevier, San Diego, 2004

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.022207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.256457Z digest=sha256:421b077d21cc827659b1f43fb330ba4e580109e58bd0dae6fc49e124844e0b64

Observation 7ec3d945-6f0e-4adc-a206-fe3892ad0fe8 · outbound

This paper cites Migdal,Loop equations and1/Nexpansions, Phys.

Finite size corrections in the bulk for circular $\beta$ ensembles Migdal,Loop equations and1/Nexpansions, Phys

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.006205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.261240Z digest=sha256:abcc80ef25c1b92151181d597ca0245b344632cd559d673803a1e32d18f1ac52

Observation 8b524baa-be46-4e0f-bd30-63dc40cfe810 · outbound

This paper cites Mironov, A.Yu.

Finite size corrections in the bulk for circular $\beta$ ensembles Mironov, A.Yu

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.987943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.265746Z digest=sha256:dbdd29f3f4e8b885200e76c46b447bb46ca2fbd507ef24c5886068f444e235c9

Observation c947704c-7849-4af0-9f3b-96924167ecdc · outbound

This paper cites Moreno-Pozas, D.

Finite size corrections in the bulk for circular $\beta$ ensembles Moreno-Pozas, D

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.972721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.270286Z digest=sha256:cfd95e05a5d16f926ef75fcf8d180a4397239636870605c0883af34ef9c5dd6f

Observation 3c6343a4-a846-4cfd-96a4-61a8e435181d · outbound

This paper cites Muirhead,Aspects of multivariate statistical theory, Wiley, New York, 1982.

Finite size corrections in the bulk for circular $\beta$ ensembles Muirhead,Aspects of multivariate statistical theory, Wiley, New York, 1982

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.957487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.275056Z digest=sha256:558c8613564cf06193906176a8579b8e38db2dc447f41de6b1a119d087c28fb7

Observation baf2c69a-43a0-4cc5-9976-fd54c3b4d171 · outbound

This paper cites Nakano,On the complex WKB analysis for products of the Airy functions, RIMS Kokyuroku 1083(1999), 169–180.

Finite size corrections in the bulk for circular $\beta$ ensembles Nakano,On the complex WKB analysis for products of the Airy functions, RIMS Kokyuroku 1083(1999), 169–180

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.942556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.280540Z digest=sha256:78c4423a476a22a41b82dabc6d5bd84e24e683e3c456ba5e7435108bc45408e7

Observation dea29c21-1de3-4a08-a9bc-3e59c85bb86e · outbound

This paper cites Hypergeometric Functions of Random Matrices and Quasimodular Forms.

Finite size corrections in the bulk for circular $\beta$ ensembles Hypergeometric Functions of Random Matrices and Quasimodular Forms

Reference 65

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:37:22.536178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.285613Z digest=sha256:440bc44457d2be68bab66dec47b9ac83fd401f80af18885ce25e5b0cc0a317ed

Observation 19b68f49-2be6-4696-b850-f7fed203d198 · outbound

This paper cites Perret and G.

Finite size corrections in the bulk for circular $\beta$ ensembles Perret and G

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.927106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.291263Z digest=sha256:be5e25ada5e1fe92ad8d243d1f941a651ced214496253005adc0967fa614b3ed

Observation d21eccd1-6bc5-4013-b733-75b3872df0d5 · outbound

This paper cites Rahman and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Rahman and P.J

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.296535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.296535Z digest=sha256:cc502e79538b40417b56d3cbbdd3b00318ce370e6f4cc370bba8aaa839a54117

Observation 28b535ef-8293-4a7b-b5a3-b1ef4ba9575a · outbound

This paper cites Riser and E.

Finite size corrections in the bulk for circular $\beta$ ensembles Riser and E

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.900549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.303857Z digest=sha256:6e058a8678d7ba9cfccecf3c1ca07bfc19e8677bad560000a77ac184d8094434

Observation 4c7291dd-33dd-4108-b42f-4bcffd9cf336 · outbound

This paper cites Riser, V.A.

Finite size corrections in the bulk for circular $\beta$ ensembles Riser, V.A

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.884879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.311703Z digest=sha256:bd2bb247490387ea1d41c690fd46eff6fd3a0c36b02d70b1f8820f5d51f47b11

Observation 5d552c68-86cb-4eb6-8493-f89e3af10a00 · outbound

This paper cites Tracy and H.

Finite size corrections in the bulk for circular $\beta$ ensembles Tracy and H

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.869451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.317908Z digest=sha256:6b06310c93d791d814567a390e99444fbac3da2cfdbf2a45ab042daf9e0b12ca

Observation 51b9fdba-16ad-43a0-98bd-2226c473bf31 · outbound

This paper cites Weyl,The classical groups: Their invariants and representations, Princeton University Press, Princeton, NJ, 1939.

Finite size corrections in the bulk for circular $\beta$ ensembles Weyl,The classical groups: Their invariants and representations, Princeton University Press, Princeton, NJ, 1939

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.854574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.324129Z digest=sha256:0b719d882038d5c5533f7fe1443774f2eb97491f81c53f2417933128a2b2329d

Observation c4680baf-8000-4cfa-86b0-b03f6da78273 · outbound

This paper cites an unresolved cited work.

Finite size corrections in the bulk for circular $\beta$ ensembles Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:37:22.838660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.329291Z digest=sha256:ad56b0f1854ee6d6d185496e5b5f3845b2d51a6f42dc8831d6f79f93b82ebd10

Observation 2a2f5bf6-8cc8-47f6-bc5c-979e9bb38783 · outbound

This paper cites an unresolved cited work.

Finite size corrections in the bulk for circular $\beta$ ensembles Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:37:22.822344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.334621Z digest=sha256:0f14673ab26068affa70be4b4898cdd4b451ba0ef55c477aaddecb0d91e8c02a

Observation 676c6d0a-dcb9-4aac-ab59-73436c2849c1 · outbound

This paper cites Winn,Extreme eigenvalues of random matrices from Jacobi ensembles, J.

Finite size corrections in the bulk for circular $\beta$ ensembles Winn,Extreme eigenvalues of random matrices from Jacobi ensembles, J

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.807113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.339749Z digest=sha256:668bd0e72a6bd5a281f86d38fbb3df30bd92956bce91c22459638fa94355f77e

Observation 2b221ece-4bb2-4c26-9e3b-d1e3a82f58bb · outbound

This paper cites Witte and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Witte and P.J

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.790090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.345174Z digest=sha256:fd103d638f4a729959d60a73aaa17a9438103ce5d3f68aad17151c59f8fdc72c

Observation 46e1d930-3f78-48f4-a48d-4ea65638ac9a · outbound

This paper cites Witte and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Witte and P.J

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.774290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.349994Z digest=sha256:295ed2813b027d06464eeafb5b0cb04053d0024e33cee3b37cba041457ba5702

Observation 25f82407-0f34-4ce2-8a83-12e9bce8afa2 · outbound

This paper cites Yan,A class of generalized hypergeometric functions in several variables, Can J.

Finite size corrections in the bulk for circular $\beta$ ensembles Yan,A class of generalized hypergeometric functions in several variables, Can J

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.758916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:37:22.355089Z digest=sha256:f694f32d66a66d8724a564c0f9d99476acc88fd76b2909ef59162137bfa0c90e

Observation 8e8afcc0-d431-4f12-a948-ce8190f187eb · outbound

This paper cites Yao and L.

Finite size corrections in the bulk for circular $\beta$ ensembles Yao and L

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.359724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.359724Z digest=sha256:7946b428b6efee576c5748bdedf2fbf069f63bf1d7eca24b8b3ac12ea298b149

Pith citing papers

Observation e2d043b5-a310-487b-97b9-91cf9f373ced · inbound

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge III: Generating Functions cites this paper.

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge III: Generating Functions Finite size corrections in the bulk for circular $\beta$ ensembles

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:55:48.006806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-21T23:54:46.563234Z digest=sha256:5ebaa34e0b498d9fa7e69aa1c1c912a32403c535d8f417ea869824b001fab1e9

Observation 78489941-a023-424d-a8b9-c11e3d3ef6a1 · inbound

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros cites this paper.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Finite size corrections in the bulk for circular $\beta$ ensembles

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T17:43:20.203586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:43:20.203586Z digest=sha256:422c66b976349029e9574149fdd6d734f2d8aa7a9670d4ace0d1ab4950fb0444

Observation ac626544-f07d-44c2-8232-34e46f0b59ef · inbound

Edge density expansions for the classical Gaussian and Laguerre ensembles cites this paper.

Edge density expansions for the classical Gaussian and Laguerre ensembles Finite size corrections in the bulk for circular $\beta$ ensembles

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-15T01:08:25.274884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-15T01:08:21.385144Z digest=sha256:66e24a87452d925b99bb80c2fd71c6d9e01380541aa31a015b991d941c95e277