Paper Citation Record · LEDGER

Tridiagonal random matrices, an analytic approach

As of 14 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2512.03628.

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

pith.paper-citation-record.v1
2512.03628 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:51:41.694378Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:04:35.879834Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact0
verified fuzzy0
unresolved38
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c3db21ed-ee53-40bb-9c3e-1b8815504012 · outbound

This paper cites A clt for the characteristic polynomial of random jacobi matrices, and the g e.

Tridiagonal random matrices, an analytic approach A clt for the characteristic polynomial of random jacobi matrices, and the g e

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.487541Z

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Observation a54a103f-fbdb-468c-8584-4894ad754837 · outbound

This paper cites Anderson, Alice Guionnet, and Ofer Zeitouni.

Tridiagonal random matrices, an analytic approach Anderson, Alice Guionnet, and Ofer Zeitouni

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.627378Z

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Observation b7eff74e-29da-4d93-889a-d72aec34a24f · outbound

This paper cites an unresolved cited work.

Tridiagonal random matrices, an analytic approach Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.711791Z

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Observation 80b0f8f9-73fd-44b7-9ab4-de175d4982e3 · outbound

This paper cites An Invitation to C \^ *-Algebras , volume 39 of Graduate Texts in Mathematics.

Tridiagonal random matrices, an analytic approach An Invitation to C \^ *-Algebras , volume 39 of Graduate Texts in Mathematics

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.768155Z

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Observation 987ca031-7833-4cab-bc18-71e7b52f4080 · outbound

This paper cites Anderson and Ofer Zeitouni.

Tridiagonal random matrices, an analytic approach Anderson and Ofer Zeitouni

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.800317Z

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Observation c17f0b3c-20ab-4e59-8f87-4264d7ac8939 · outbound

This paper cites Methodologies in spectral analysis of large dimensional random matrices, a review.

Tridiagonal random matrices, an analytic approach Methodologies in spectral analysis of large dimensional random matrices, a review

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.870830Z

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Observation 563c1563-2999-4d05-a939-85781ed8a3ae · outbound

This paper cites Limiting spectral distributions of some band matrices.

Tridiagonal random matrices, an analytic approach Limiting spectral distributions of some band matrices

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.922394Z

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Observation 9fa9ddd4-c9a5-4a38-8e53-5aa09e065a1c · outbound

This paper cites Limiting spectral distributions of some band matrices.

Tridiagonal random matrices, an analytic approach Limiting spectral distributions of some band matrices

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:38.995986Z

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Observation 6429a2c0-fd6d-4be6-aa8c-c28e7ea878ea · outbound

This paper cites a nd \'e n, Mikael Passare, and Mihai Putinar, editors, Notions of Positivity and the Geometry of Polynomials , Trends in Mathematics, pages 153--190. Birkh \.

Tridiagonal random matrices, an analytic approach a nd \'e n, Mikael Passare, and Mihai Putinar, editors, Notions of Positivity and the Geometry of Polynomials , Trends in Mathematics, pages 153--190. Birkh \

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.011060Z

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Observation 3c414288-a381-424f-b631-052e7d0cfa44 · outbound

This paper cites Patterned random matrices and method of moments.

Tridiagonal random matrices, an analytic approach Patterned random matrices and method of moments

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.061641Z

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Observation 8e00314d-273d-4f26-92fe-6b018cd7193b · outbound

This paper cites Finite diagonal random matrices.

Tridiagonal random matrices, an analytic approach Finite diagonal random matrices

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.116788Z

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Observation 12912732-f8e5-4afd-8d84-a7a5d48616dc · outbound

This paper cites $XX^T$ Matrices With Independent Entries.

Tridiagonal random matrices, an analytic approach $XX^T$ Matrices With Independent Entries

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.176555Z

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Observation 03831bd0-52df-4b7c-9562-2b6325e92609 · outbound

This paper cites Some patterned matrices with independent entries.

Tridiagonal random matrices, an analytic approach Some patterned matrices with independent entries

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.258671Z

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Observation 51ca00f1-be25-42a3-bc00-13dc1cf34656 · outbound

This paper cites Introduction aux grandes matrices aléatoires.

Tridiagonal random matrices, an analytic approach Introduction aux grandes matrices aléatoires

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.360081Z

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Observation abf389e0-aa4c-4dc5-ba69-86d4491be221 · outbound

This paper cites da Fonseca.

Tridiagonal random matrices, an analytic approach da Fonseca

Reference 15

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Observation b475c34d-3f6d-4bda-907f-0120eda3e1a0 · outbound

This paper cites Aspects of large random markov kernels.

Tridiagonal random matrices, an analytic approach Aspects of large random markov kernels

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.507195Z

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Observation 825e28e1-bbc7-4f96-a059-205a28c3b374 · outbound

This paper cites Matrix models for beta ensembles.

Tridiagonal random matrices, an analytic approach Matrix models for beta ensembles

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.606161Z

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Observation f8921e12-80ef-4d2f-ac1b-79d893555df9 · outbound

This paper cites Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble.

Tridiagonal random matrices, an analytic approach Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.717309Z

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Observation e300b4b4-61a1-41f9-b484-09f1fa527f44 · outbound

This paper cites Forrester.

Tridiagonal random matrices, an analytic approach Forrester

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.866314Z

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Observation 5c9b8b0d-2f0f-4f8a-bca1-e9ca130ece2f · outbound

This paper cites Universality of the stochastic airy operator.

Tridiagonal random matrices, an analytic approach Universality of the stochastic airy operator

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:39.987865Z

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Observation 1cb2294b-357f-4880-b60c-8cceaaceb34b · outbound

This paper cites Eigenvalue statistics for cmv matrices: from poisson to clock via random matrix ensembles.

Tridiagonal random matrices, an analytic approach Eigenvalue statistics for cmv matrices: from poisson to clock via random matrix ensembles

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.089899Z

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Observation 46113b77-ed2a-4f58-abd9-66793a37ddd7 · outbound

This paper cites Bulk asymptotics of the Gaussian $\beta$-ensemble characteristic polynomial.

Tridiagonal random matrices, an analytic approach Bulk asymptotics of the Gaussian $\beta$-ensemble characteristic polynomial

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.160738Z

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Observation b0a6ba54-e5ab-4625-814c-b52b14033a6c · outbound

This paper cites On fluctuations for random band toeplitz matrices.

Tridiagonal random matrices, an analytic approach On fluctuations for random band toeplitz matrices

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.249463Z

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Observation c77530f4-56be-44b4-8ae6-0cc71b743182 · outbound

This paper cites Fluctuation of eigenvalues for random toeplitz and related matrices, 2010.

Tridiagonal random matrices, an analytic approach Fluctuation of eigenvalues for random toeplitz and related matrices, 2010

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.328814Z

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Observation c02d36c2-d7a1-4f4d-85e0-5c6738f2e9e9 · outbound

This paper cites Random matrices , volume 142.

Tridiagonal random matrices, an analytic approach Random matrices , volume 142

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.432261Z

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Observation 075fe5e1-7665-450a-8433-6887339900c4 · outbound

This paper cites General tridiagonal random matrix models, limiting distributions and fluctuations.

Tridiagonal random matrices, an analytic approach General tridiagonal random matrix models, limiting distributions and fluctuations

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.511132Z

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Observation 40a1e51c-2e61-4654-afdf-c73f77992bde · outbound

This paper cites Ram \'i rez, Brian Rider, and B \'a lint Vir \'a g.

Tridiagonal random matrices, an analytic approach Ram \'i rez, Brian Rider, and B \'a lint Vir \'a g

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.574109Z

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Observation 4b1c44f2-e646-48fd-b60e-b07b53d05296 · outbound

This paper cites Free calculus.

Tridiagonal random matrices, an analytic approach Free calculus

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.678358Z

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Observation 5f32fd0b-5523-4abe-aaf9-a05f882f9ee3 · outbound

This paper cites Free probability theory, 2009.

Tridiagonal random matrices, an analytic approach Free probability theory, 2009

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.817402Z

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Observation a2eb4871-5432-4bc0-966a-cd466c7e4ae9 · outbound

This paper cites Global spectrum fluctuations for gaussian beta ensembles: a martingale approach.

Tridiagonal random matrices, an analytic approach Global spectrum fluctuations for gaussian beta ensembles: a martingale approach

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:40.906598Z

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Observation f4b0a648-5360-42c4-9666-dcbc48096e7e · outbound

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Tridiagonal random matrices, an analytic approach Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:41.007013Z

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Observation d7413214-e3dd-4c76-9dfa-529b5c5cc7d4 · outbound

This paper cites Dykema, and Alexandru Nica.

Tridiagonal random matrices, an analytic approach Dykema, and Alexandru Nica

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:41.100255Z

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Observation d2f373c8-8284-4005-a489-08dbd9c4b835 · outbound

This paper cites Optimal Transport: Old and New , volume 338 of Grundlehren der Mathematischen Wissenschaften.

Tridiagonal random matrices, an analytic approach Optimal Transport: Old and New , volume 338 of Grundlehren der Mathematischen Wissenschaften

Reference 33

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Observation 1b95fb55-f6cb-4297-98c7-2ba9068dbfa1 · outbound

This paper cites Continuum limits of random matrices and the brownian carousel.

Tridiagonal random matrices, an analytic approach Continuum limits of random matrices and the brownian carousel

Reference 34

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Observation 15c58a45-f36b-4de1-a7eb-787d3230bd32 · outbound

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Tridiagonal random matrices, an analytic approach Unresolved cited work

Reference 35

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Observation 7fc6bef2-942c-4408-99d4-f4814df49a2b · outbound

This paper cites On the distribution of the roots of certain symmetric matrices.

Tridiagonal random matrices, an analytic approach On the distribution of the roots of certain symmetric matrices

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:41.495754Z

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Observation efa886ad-9b1d-4050-b91c-80805992e8e5 · outbound

This paper cites Tridiagonal random matrix: Gaussian fluctuations and deviations.

Tridiagonal random matrices, an analytic approach Tridiagonal random matrix: Gaussian fluctuations and deviations

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:41.594594Z

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Observation f2946ae1-ddd5-4dd3-9f84-c34a6cbaebeb · outbound

This paper cites A graphon approach to limiting spectral distributions of wigner‐type matrices.

Tridiagonal random matrices, an analytic approach A graphon approach to limiting spectral distributions of wigner‐type matrices

Reference 38

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Pith citing papers

Observation e8e9dd23-7758-4520-9548-79c4eebda5bd · inbound

Enumeration of maps with the Dumitriu-Edelman model cites this paper.

Enumeration of maps with the Dumitriu-Edelman model Tridiagonal random matrices, an analytic approach

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-03T18:04:35.879834Z

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