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Paper Citation Record · LEDGER

P\'olya--Schur problems and free probability

As of 12 August 2026, this Paper Citation Record lists 90 of 90 outbound references and 0 inbound Pith citation observations for arXiv:2605.31356.

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

pith.paper-citation-record.v1
2605.31356 v1

Coverage vector

measured 90 of 90 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T21:04:04.480947Z

measured 90 of 90 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

90 of 90 outbound references displayed

  • verified exact13
  • verified fuzzy0
  • unresolved77
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 0e6ce587-5d43-4021-b6ff-9a7c161c7d54 · outbound

This paper cites an unresolved cited work.

P\'olya--Schur problems and free probability Unresolved cited work

Reference 1

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Observation ed276ec5-fab8-47da-ab71-01cebeafea41 · outbound

This paper cites Aleman, D.

P\'olya--Schur problems and free probability Aleman, D

Reference 2

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Observation 92831078-25f4-4d42-b264-dd16dcaee447 · outbound

This paper cites Angst, D.

P\'olya--Schur problems and free probability Angst, D

Reference 3

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Observation 436533e1-9ac5-4f5e-a418-e91be8723243 · outbound

This paper cites Angst, O.

P\'olya--Schur problems and free probability Angst, O

Reference 4

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Observation 522c37a1-fe12-4b68-82cf-ac24f28a9c16 · outbound

This paper cites Anshelevich.

P\'olya--Schur problems and free probability Anshelevich

Reference 5

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Observation 7acad24c-e035-44c1-ba38-a7f85afbb117 · outbound

This paper cites Anshelevich.

P\'olya--Schur problems and free probability Anshelevich

Reference 6

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Observation 9e106bc5-1b75-4c2d-8fcd-17612dcdddb1 · outbound

This paper cites Anshelevich.

P\'olya--Schur problems and free probability Anshelevich

Reference 7

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Observation 567f8dce-5150-4729-85e2-1ca0285c0ccc · outbound

This paper cites Critical points of random polynomials and finite free cumulants.

P\'olya--Schur problems and free probability Critical points of random polynomials and finite free cumulants

Reference 8

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Observation d1e19f2f-0fbe-44a1-89cb-380407da6354 · outbound

This paper cites An analytic approach to the finite R-transform.

P\'olya--Schur problems and free probability An analytic approach to the finite R-transform

Reference 9

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Observation 1cff715d-4a52-43ba-a281-3ec03e29a718 · outbound

This paper cites Arizmendi, K.

P\'olya--Schur problems and free probability Arizmendi, K

Reference 10

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This paper cites Arizmendi, J.

P\'olya--Schur problems and free probability Arizmendi, J

Reference 11

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Observation ac738417-b740-4251-8c37-609e788be3fd · outbound

This paper cites Arizmendi and T.

P\'olya--Schur problems and free probability Arizmendi and T

Reference 12

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Observation 43a40355-2d65-4b67-9add-1c68152e3996 · outbound

This paper cites Arizmendi, T.

P\'olya--Schur problems and free probability Arizmendi, T

Reference 13

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Observation 17bec40f-69fb-43c4-8cd1-22fdce811dd7 · outbound

This paper cites Arizmendi and D.

P\'olya--Schur problems and free probability Arizmendi and D

Reference 14

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Observation 54e0c23f-71ad-452b-ace0-692dfa714c8f · outbound

This paper cites Assiotis.

P\'olya--Schur problems and free probability Assiotis

Reference 15

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 16

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 17

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 18

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Observation 2f23d27c-22a4-4bbb-9600-ea74efc806b6 · outbound

This paper cites Bercovici and V.

P\'olya--Schur problems and free probability Bercovici and V

Reference 19

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Observation e57f91c1-1349-452d-9a4a-9f40ebe064ab · outbound

This paper cites Bercovici and D.

P\'olya--Schur problems and free probability Bercovici and D

Reference 20

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Observation 401e8f30-7c6b-4e8d-93c9-badfcaca88b4 · outbound

This paper cites Bercovici and D.

P\'olya--Schur problems and free probability Bercovici and D

Reference 21

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Observation a9443ffc-b723-4751-a665-3ad2d45f195c · outbound

This paper cites Bercovici, J.-C.

P\'olya--Schur problems and free probability Bercovici, J.-C

Reference 22

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 23

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 24

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This paper cites Bøgvad, C.

P\'olya--Schur problems and free probability Bøgvad, C

Reference 25

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P\'olya--Schur problems and free probability Borcea and P

Reference 26

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P\'olya--Schur problems and free probability Borcea and P

Reference 27

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 28

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 29

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P\'olya--Schur problems and free probability Buri´ c, N

Reference 30

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 31

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Observation 4f72d88d-c2df-473d-80ab-e768ab5acc03 · outbound

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P\'olya--Schur problems and free probability Campbell

Reference 32

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Observation 8afa3f5a-b3e1-4a4d-b8ab-60406cfb5071 · outbound

This paper cites Campbell, S.

P\'olya--Schur problems and free probability Campbell, S

Reference 33

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Observation d7dccab6-672b-4fbe-9f32-516b381a2a7d · outbound

This paper cites Universality for roots of derivatives of entire functions via finite free probability.

P\'olya--Schur problems and free probability Universality for roots of derivatives of entire functions via finite free probability

Reference 34

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Observation 4193e57b-a3d2-4335-9d41-d90414116937 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 35

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Observation ad8619fc-7855-409d-b944-450ed348f972 · outbound

This paper cites Craven and G.

P\'olya--Schur problems and free probability Craven and G

Reference 36

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Observation 651de9d5-7ccd-4f35-9316-a4d7e3263fd7 · outbound

This paper cites Cumulants in rectangular finite free probability and beta-deformed singular values.

P\'olya--Schur problems and free probability Cumulants in rectangular finite free probability and beta-deformed singular values

Reference 37

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Observation b3942cb3-d312-4740-83cc-62d4e4c111e8 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 38

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Observation ab3f35ca-2c93-4a03-bb63-b1eb086aa509 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 39

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Observation 7b02f34f-1039-4df2-9825-34559f7f6671 · outbound

This paper cites Dynamics of rotationally invariant polynomial root sets under iterated differentiations.

P\'olya--Schur problems and free probability Dynamics of rotationally invariant polynomial root sets under iterated differentiations

Reference 40

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Observation aa14a0e3-0485-408a-96b5-022a578cd978 · outbound

This paper cites Gorin and V.

P\'olya--Schur problems and free probability Gorin and V

Reference 41

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Observation 1a7a529b-8d9e-4f55-8b5d-a8785f7ef0f6 · outbound

This paper cites Gribinski.

P\'olya--Schur problems and free probability Gribinski

Reference 42

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Observation b456d8bc-4577-4826-9246-3e56727bf448 · outbound

This paper cites Hall, C.-W.

P\'olya--Schur problems and free probability Hall, C.-W

Reference 43

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Observation 67ae359c-f54a-4661-9eab-26f4236e2396 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 44

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Observation f92ed992-40b7-482e-b214-fd8c043f5802 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 45

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Observation 2c90b8b0-c79f-44db-8770-2f2005657f29 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 46

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Observation 69ad6105-4e09-4bbf-8dde-43796c266e07 · outbound

This paper cites H¨ ofert, J.

P\'olya--Schur problems and free probability H¨ ofert, J

Reference 47

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:084f649e79687112ed4b10d399873b2ede0c7525fdb685b7220bef9ca8273af8

Observation 03d4c695-b6e7-43b3-85a7-6527058e3fb7 · outbound

This paper cites Hoskins and Z.

P\'olya--Schur problems and free probability Hoskins and Z

Reference 48

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Observation 51537153-5269-4075-adf4-70d06cd1411b · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 49

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Observation 7391598b-7fa3-4f9f-944d-f8015515cb9c · outbound

This paper cites an unresolved cited work.

P\'olya--Schur problems and free probability Unresolved cited work

Reference 50

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:0de6e0db5cd66b2dad7da4a4f3c0a06581006290ac50e266008b327f6b9636b3

Observation 6564fd7f-5c0b-41e7-a608-c4d910825a86 · outbound

This paper cites Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation.

P\'olya--Schur problems and free probability Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation

Reference 51

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Observation 39f41bca-2195-4780-b90c-bdcf7dd3385b · outbound

This paper cites Zeros and exponential profiles of polynomials II: Examples.

P\'olya--Schur problems and free probability Zeros and exponential profiles of polynomials II: Examples

Reference 52

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:23b4431cb0e0338636405d20ca84e8b89b29541d59c223676ebde32cf8cf6609

Observation ab90763f-376c-410d-8172-f510a4208735 · outbound

This paper cites Jankowski and E.

P\'olya--Schur problems and free probability Jankowski and E

Reference 53

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Observation 50058e1e-caa4-49ac-a5cb-d88a2f87691d · outbound

This paper cites Kabluchko.

P\'olya--Schur problems and free probability Kabluchko

Reference 54

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Observation 2bc5c868-2e02-4a0b-b3f6-99fafb807f74 · outbound

This paper cites Kabluchko.

P\'olya--Schur problems and free probability Kabluchko

Reference 55

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:42b5a809eb2ba37f07bf8f32f7400fd94444b987db8cad3b16f25910f5929948

Observation ee44aaa2-4ded-48f1-9db5-16e0938920d4 · outbound

This paper cites Kim and Y.-O.

P\'olya--Schur problems and free probability Kim and Y.-O

Reference 56

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Observation 3f6a0bf6-89a1-4e9f-967a-6649bbb2d829 · outbound

This paper cites Kiselev and C.

P\'olya--Schur problems and free probability Kiselev and C

Reference 57

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:8ec36b2d0fc72de384683fbe14d13d74296b312b45c885e5eb121587d449d288

Observation 5069da15-031d-4e02-ba29-6527bdd405cd · outbound

This paper cites Sur les fonctions du genre zero et du genre un.C.

P\'olya--Schur problems and free probability Sur les fonctions du genre zero et du genre un.C

Reference 58

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Observation e780433c-3b4b-4dab-86d7-17166e5631e3 · outbound

This paper cites Laudenbach.

P\'olya--Schur problems and free probability Laudenbach

Reference 59

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Observation 42c857b0-b561-4be4-8c8a-2f91aedff898 · outbound

This paper cites Maller and D.

P\'olya--Schur problems and free probability Maller and D

Reference 60

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Observation b49db079-1ea7-424e-b4ed-ed57ee56b7f6 · outbound

This paper cites Polynomial convolutions and (finite) free probability.

P\'olya--Schur problems and free probability Polynomial convolutions and (finite) free probability

Reference 61

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Observation 8ecf978f-dacd-4839-82b5-9638ff5d915c · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 62

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Observation 59a0c46f-dc07-47c6-b9a1-5ea8562e8df7 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 63

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Observation cc7ebdd5-6dd0-405a-aa2b-3a5950361ad6 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 64

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Observation 7172d08c-8ad1-4d84-bfde-ff588d004fa7 · outbound

This paper cites Marden.Geometry of polynomials, volume No.

P\'olya--Schur problems and free probability Marden.Geometry of polynomials, volume No

Reference 65

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Observation d6a19dee-1bd2-4afa-ab08-6bf1f3a7d284 · outbound

This paper cites Martinez-Finkelshtein and E.

P\'olya--Schur problems and free probability Martinez-Finkelshtein and E

Reference 66

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Observation fe194a07-0a56-4578-b447-abd4a0004129 · outbound

This paper cites Michelen and X.-T.

P\'olya--Schur problems and free probability Michelen and X.-T

Reference 67

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Observation 3e6c7528-1239-423f-87bf-71c4bc63d4c4 · outbound

This paper cites Michelen and X.-T.

P\'olya--Schur problems and free probability Michelen and X.-T

Reference 68

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Observation aa9528eb-f8a6-4a7f-992c-d99db4c334ba · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 69

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:570139a23aac87fcebf359e8708d9b3f3fae3ef459619a8e0a8714fb5ead1ee5

Observation 1e468e70-8484-4a07-8176-8f4c81adaff4 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 70

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:7cb673a32791b5b44049fb343cdb5c34264af4a193cf5d768ad3a17ebf3405c0

Observation 61952179-ee4f-4154-b9e8-3e5e080ae143 · outbound

This paper cites Nica and R.

P\'olya--Schur problems and free probability Nica and R

Reference 71

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Observation a0afa624-f373-45da-b2f2-f46d4b2828ac · outbound

This paper cites O’Sullivan.

P\'olya--Schur problems and free probability O’Sullivan

Reference 72

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Observation 52962e8a-cdab-4f27-bd55-8b06f107223f · outbound

This paper cites Pemantle and S.

P\'olya--Schur problems and free probability Pemantle and S

Reference 73

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:cc10c1b95c1edf5a58915260fb0ec9f4a2f358c7d67257df39ab98d039462746

Observation adb2ce1f-d2a4-4495-adef-ed15e1ad7c8d · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 74

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Observation af2aff4b-d4bb-4b22-8577-ede8ce9d7f59 · outbound

This paper cites P´ olya.¨Uber Ann¨ aherung durch Polynome mit lauter reellen Wurzeln.Rend.

P\'olya--Schur problems and free probability P´ olya.¨Uber Ann¨ aherung durch Polynome mit lauter reellen Wurzeln.Rend

Reference 75

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Observation 463af2fe-c464-4d26-a7d9-a62ff0c54440 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 76

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Observation 88237a63-a55f-480c-ad6d-8a5568a71a3d · outbound

This paper cites Schur and G.

P\'olya--Schur problems and free probability Schur and G

Reference 77

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Observation 80a1fed5-f705-4a04-8665-a5ee13ae7c3f · outbound

This paper cites Fractional free convolution powers.

P\'olya--Schur problems and free probability Fractional free convolution powers

Reference 78

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Observation 88edd9eb-b3b2-48a3-83e3-768643ae3f08 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 79

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source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:0dce9464ea5afeba3379693b0e5d7966e6bb253c997e0d4367ae137abb742b7f

Observation cf42b917-dca8-4f2e-b670-514ad934a4dc · outbound

This paper cites Steinerberger.

P\'olya--Schur problems and free probability Steinerberger

Reference 80

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Observation 1c616979-afab-4930-9d9f-72b22b2d12d4 · outbound

This paper cites Steinerberger.

P\'olya--Schur problems and free probability Steinerberger

Reference 81

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Observation 79781629-ee1b-4cd7-90c8-6c82ba8ba2e2 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 82

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Observation e64247f8-5e47-40d9-97c5-2edfef63e808 · outbound

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P\'olya--Schur problems and free probability Unresolved cited work

Reference 83

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Observation 1c4b886a-591c-404f-82c6-0ee8117f51e5 · outbound

This paper cites Valk´ o and B.

P\'olya--Schur problems and free probability Valk´ o and B

Reference 84

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Observation 1507857a-7df1-4123-84ef-55bf9376fc3e · outbound

This paper cites Voiculescu.

P\'olya--Schur problems and free probability Voiculescu

Reference 85

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Observation c1356559-e3f3-4505-86d8-911f4b1cfe17 · outbound

This paper cites Voiculescu.

P\'olya--Schur problems and free probability Voiculescu

Reference 86

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Observation 3c6dc48b-c403-4355-b69c-db04da4e08a5 · outbound

This paper cites Voiculescu.

P\'olya--Schur problems and free probability Voiculescu

Reference 87

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Observation 5caa7e58-9842-4ef8-ba61-6327fb45e7c8 · outbound

This paper cites an unresolved cited work.

P\'olya--Schur problems and free probability Unresolved cited work

Reference 88

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Observation a7ea5c42-aa3f-4870-8145-cd348a942c08 · outbound

This paper cites Voit and J.

P\'olya--Schur problems and free probability Voit and J

Reference 89

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Observation c8009528-2e0e-4b6d-95a6-f576bf023051 · outbound

This paper cites an unresolved cited work.

P\'olya--Schur problems and free probability Unresolved cited work

Reference 90

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