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Paper Citation Record · LEDGER

$q$-deformed Perelomov-Popov measures and quantized free probability

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2501.03213.

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

pith.paper-citation-record.v1
2501.03213 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:01:54.735912Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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  • verified fuzzy37
  • unresolved5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2fd3b2fd-1f33-470a-982b-0e349b6427c3 · outbound

This paper cites an unresolved cited work.

$q$-deformed Perelomov-Popov measures and quantized free probability Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:01:55.464320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation cffcae89-10c3-4f7e-a452-266adde11e34 · outbound

This paper cites Airy point process via supersymmetric lifts.

$q$-deformed Perelomov-Popov measures and quantized free probability Airy point process via supersymmetric lifts

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8fff4edd-dcec-47fa-8d11-50446d75a775 · outbound

This paper cites Finite-rank perturbations of random band matrices via infinitesimal free probability.

$q$-deformed Perelomov-Popov measures and quantized free probability Finite-rank perturbations of random band matrices via infinitesimal free probability

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9eae4983-3c0f-4c90-82b5-405fb86ee1a6 · outbound

This paper cites Belinschi and Dimitri Shlyakhtenko.

$q$-deformed Perelomov-Popov measures and quantized free probability Belinschi and Dimitri Shlyakhtenko

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6d4ff4d3-feb7-4489-9a11-8b16ae078be5 · outbound

This paper cites Matrix addition and the Dunkl transform at high temperature.

$q$-deformed Perelomov-Popov measures and quantized free probability Matrix addition and the Dunkl transform at high temperature

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3a747f8e-cb35-46af-9739-1f0f160e2091 · outbound

This paper cites Approximate factorization and concentration for characters of symmetric groups.

$q$-deformed Perelomov-Popov measures and quantized free probability Approximate factorization and concentration for characters of symmetric groups

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3de511c8-7ffb-4bd8-9956-9c5973721039 · outbound

This paper cites Non-crossing cumulants of type B.

$q$-deformed Perelomov-Popov measures and quantized free probability Non-crossing cumulants of type B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.365092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 23bcedda-5e34-4ac7-85de-d70148b0f165 · outbound

This paper cites Limit shapes for growing extreme characters of U(∞).

$q$-deformed Perelomov-Popov measures and quantized free probability Limit shapes for growing extreme characters of U(∞)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.348545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1d30cee0-b992-4dce-b4f1-b4f4afae27c7 · outbound

This paper cites Kerov’s interlacing sequences and random matrices.

$q$-deformed Perelomov-Popov measures and quantized free probability Kerov’s interlacing sequences and random matrices

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.592014Z digest=sha256:1368b49107811ecdaa4ef6bc623b649afc8deb5f941710c41cc1c4236cc9fd0f

Observation dfece0dd-19dc-472d-9093-008f6ac7a3da · outbound

This paper cites Representations of classical Lie groups and quantized free convolution.

$q$-deformed Perelomov-Popov measures and quantized free probability Representations of classical Lie groups and quantized free convolution

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.317013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e0857e3a-0cf7-47cf-9965-51910c12ba1a · outbound

This paper cites Fluctuations of particle systems determined by Schur generating functions.

$q$-deformed Perelomov-Popov measures and quantized free probability Fluctuations of particle systems determined by Schur generating functions

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 12461722-936e-44d5-9aa4-74fe46f84f01 · outbound

This paper cites Fourier transform on high-dimensional unitary groups with applications to random tilings.

$q$-deformed Perelomov-Popov measures and quantized free probability Fourier transform on high-dimensional unitary groups with applications to random tilings

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a18023dd-a389-46cc-b166-dcd15b7b4650 · outbound

This paper cites Asymptotics of random domino tilings of rectangular Aztec diamonds.

$q$-deformed Perelomov-Popov measures and quantized free probability Asymptotics of random domino tilings of rectangular Aztec diamonds

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.267696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c8c6c4a9-8225-4a52-912e-6c29c2c43af7 · outbound

This paper cites Asymptotics of Harish-Chandra transform and infinitesimal freeness.

$q$-deformed Perelomov-Popov measures and quantized free probability Asymptotics of Harish-Chandra transform and infinitesimal freeness

Reference 14

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f4c019e2-9404-45b9-be3b-39a6caa3dc53 · outbound

This paper cites Freeness of type B and conditional freeness for random matrices.

$q$-deformed Perelomov-Popov measures and quantized free probability Freeness of type B and conditional freeness for random matrices

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.251951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.616819Z digest=sha256:4c68945fb22e239944a441792ce92d941889ea0a7a2d4baec49c4f8017ae67d1

Observation d86de425-a050-469f-9061-58a0fd5b471a · outbound

This paper cites New scaling of Itzykson-Zuber integrals.

$q$-deformed Perelomov-Popov measures and quantized free probability New scaling of Itzykson-Zuber integrals

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.232986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 219bb3f6-69a4-4628-916f-f3c1af35dd94 · outbound

This paper cites The Markov moment problem and de Finetti’s theorem.

$q$-deformed Perelomov-Popov measures and quantized free probability The Markov moment problem and de Finetti’s theorem

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e27f418a-bf74-4253-94d3-2b474079ee15 · outbound

This paper cites Eigenvalues of Heckman-Polychronakos operators.

$q$-deformed Perelomov-Popov measures and quantized free probability Eigenvalues of Heckman-Polychronakos operators

Reference 18

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 60c51d57-cc5c-4145-a5d2-5e835d8a60a5 · outbound

This paper cites On the generation function of a doubly infinite, totally positive sequence.

$q$-deformed Perelomov-Popov measures and quantized free probability On the generation function of a doubly infinite, totally positive sequence

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.199230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation cd29af38-a8a3-473b-bb2e-0f97ccd116be · outbound

This paper cites Markov-Krein transform.

$q$-deformed Perelomov-Popov measures and quantized free probability Markov-Krein transform

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.182887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0e90ceea-0c0f-498c-b971-504b9534bba5 · outbound

This paper cites Higher order infinitesimal freeness.

$q$-deformed Perelomov-Popov measures and quantized free probability Higher order infinitesimal freeness

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.167372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 30d75be6-6926-440c-a8bc-66fbb1075dcd · outbound

This paper cites Infinitesimal non-crossing cumulants and free probability of type B.

$q$-deformed Perelomov-Popov measures and quantized free probability Infinitesimal non-crossing cumulants and free probability of type B

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.151120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ef997fb9-e094-4739-bd7e-e027f55c30cc · outbound

This paper cites ALEA Lat.

$q$-deformed Perelomov-Popov measures and quantized free probability ALEA Lat

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.134236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.650985Z digest=sha256:5af35b9566bb92ced16e88a25089f849f1f7fe445047a2814b8c5ea8fa995545

Observation 402ccdab-ccb9-4e66-b347-6e059eaf031f · outbound

This paper cites Goel and Andrew Yao.

$q$-deformed Perelomov-Popov measures and quantized free probability Goel and Andrew Yao

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.117945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f13c141a-cf3b-4ebf-9bd2-2e96e55a9d46 · outbound

This paper cites Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory.

$q$-deformed Perelomov-Popov measures and quantized free probability Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.100729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.658388Z digest=sha256:93393240696f5d38da4c2c91bea66ffa36db36bdff018f1e7d00f61f861eb914

Observation e4c31e38-c6a9-4119-b72f-9a916b010f16 · outbound

This paper cites Gaussian fluctuations for products of random matrices.

$q$-deformed Perelomov-Popov measures and quantized free probability Gaussian fluctuations for products of random matrices

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.085004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7150aefa-ce54-42df-b47b-80eea0506f7c · outbound

This paper cites A Fourier view on the R-transform and related asymptotics of spherical integrals.

$q$-deformed Perelomov-Popov measures and quantized free probability A Fourier view on the R-transform and related asymptotics of spherical integrals

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.066605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.667001Z digest=sha256:fdd3244a90ac385a8739140bb6a4534ef2aebeb1fbea9429221486b7891a95ef

Observation 5dadd950-81b4-4042-b226-8ff4dd2c8ab7 · outbound

This paper cites Law of large numbers and central limit theorems through Jack generating functions.

$q$-deformed Perelomov-Popov measures and quantized free probability Law of large numbers and central limit theorems through Jack generating functions

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.051327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.671076Z digest=sha256:38e79fb401332135cb88eb10acf7fea3e62df5f6ffc0d1f70c8d94fdd82073b9

Observation a496b195-b71f-4ccf-b5af-a775cedeb94e · outbound

This paper cites an unresolved cited work.

$q$-deformed Perelomov-Popov measures and quantized free probability Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:01:55.035983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.675361Z digest=sha256:520a6c02f86f65f2df0c8621d664f964efeb7b8a031bd41678b69b3530999cc0

Observation 2d04c43b-c495-41b7-83e8-3dad38d6b4a4 · outbound

This paper cites Kerov.Asymptotic representation theory of the symmetric group and its applications in analysis, volume 219 of Translations of Mathematical Monographs.

$q$-deformed Perelomov-Popov measures and quantized free probability Kerov.Asymptotic representation theory of the symmetric group and its applications in analysis, volume 219 of Translations of Mathematical Monographs

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.020648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1c4e964b-ac37-4347-83f3-dbb20700aff3 · outbound

This paper cites Krein and Adolf A.

$q$-deformed Perelomov-Popov measures and quantized free probability Krein and Adolf A

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:55.002819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.684076Z digest=sha256:07655934c93e0019aa47d4abf2902617c89410862529800a838c17f818fb18c6

Observation e3f8af7a-4a49-4b81-86ff-bf15d2fc7c53 · outbound

This paper cites Rank one HCIZ at high temperature: interpolating between classical and free convolutions.

$q$-deformed Perelomov-Popov measures and quantized free probability Rank one HCIZ at high temperature: interpolating between classical and free convolutions

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.987787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 649c4563-c868-492f-a0a2-eb22e15610d3 · outbound

This paper cites an unresolved cited work.

$q$-deformed Perelomov-Popov measures and quantized free probability Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:01:54.972230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.692223Z digest=sha256:602566d7ac55e778b4a85ae6e476e6859766b4542bee548ef21df3a62350b642

Observation 92d140fc-25cd-49e8-bffb-6d4d2735a5b1 · outbound

This paper cites Mingo and Roland Speicher.

$q$-deformed Perelomov-Popov measures and quantized free probability Mingo and Roland Speicher

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.954808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.696932Z digest=sha256:08ad000ff9d54ae4b71650209461f0c3ea65ec2dd0d6d04af2f8c66d7b3b6f5c

Observation 5858db13-1b1f-4585-b782-aefa0b031702 · outbound

This paper cites Lectures on the combinatorics of free probability, volume 335 of London Mathematical Society Lecture Note Series.

$q$-deformed Perelomov-Popov measures and quantized free probability Lectures on the combinatorics of free probability, volume 335 of London Mathematical Society Lecture Note Series

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.939156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.701190Z digest=sha256:35791536228fdbf43cfb5776b7db224abdd4408084cf8f499f88f6b27228b706

Observation 2d1fc7a5-d018-46bc-abe3-66ba68f18a98 · outbound

This paper cites Unitary representations of infinite-dimensional pairs (G,K) and the formalism of R.

$q$-deformed Perelomov-Popov measures and quantized free probability Unitary representations of infinite-dimensional pairs (G,K) and the formalism of R

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.922555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.706019Z digest=sha256:2f514c86d515ab949eed076b23f9cadeb3f3498127a524e552f0d39be4db36d9

Observation d2574cb0-2cdc-4950-841f-e1bd175a95de · outbound

This paper cites The problem of harmonic analysis on the infinite-dimensional unitary group.

$q$-deformed Perelomov-Popov measures and quantized free probability The problem of harmonic analysis on the infinite-dimensional unitary group

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.906843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.711624Z digest=sha256:476241ed612da23301b14107970f35b7f3431ed2471b125c5a10cf1fb2885441

Observation ed012a34-2ee5-4288-a7d9-3eaa2c291181 · outbound

This paper cites Perelomov and Vladimir S.

$q$-deformed Perelomov-Popov measures and quantized free probability Perelomov and Vladimir S

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.889949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.716035Z digest=sha256:c96a42d54d573885d7c761cc003d377ae3f33aac54f339dff443e7a3761d5402

Observation 0ae1ada0-b92e-4384-a2a9-994e76f4946b · outbound

This paper cites Free probability of type-B and asymptotics of finite-rank perturbations of random matrices.

$q$-deformed Perelomov-Popov measures and quantized free probability Free probability of type-B and asymptotics of finite-rank perturbations of random matrices

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.872271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.720383Z digest=sha256:4e1f39fecdf4d0960b62b268ed3284fd30ccc905ff9780667510b221260103bf

Observation 946098ca-e727-44c5-b939-e4c3af2a17b1 · outbound

This paper cites an unresolved cited work.

$q$-deformed Perelomov-Popov measures and quantized free probability Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:01:54.857199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.724042Z digest=sha256:32665ec348c3b8e1e6f53eb77b02baf7323cdfbc19ebb2e08a7f4d2070759d6a

Observation c80d3c78-50b3-420f-b990-f3478d33a509 · outbound

This paper cites V oiculescu.

$q$-deformed Perelomov-Popov measures and quantized free probability V oiculescu

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.842002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.727964Z digest=sha256:f316b85faef5416df89040e005c8444d16a2731f1b9b93cd5f2af9f471a8d926

Observation 5f591f80-166a-4eda-ae58-cc075fcf8202 · outbound

This paper cites V oiculescu, Ken J.

$q$-deformed Perelomov-Popov measures and quantized free probability V oiculescu, Ken J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.825808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.731796Z digest=sha256:2a7dd4d4244479e5cebcd382bb561421b1d8479804e5df0e16d36f80011c1049

Observation 49b4fc22-fb3e-427e-99ca-182d07195404 · outbound

This paper cites The Classical Groups.

$q$-deformed Perelomov-Popov measures and quantized free probability The Classical Groups

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:01:54.810406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:01:54.735912Z digest=sha256:2c0edf84d98b3475b65e9358b0f68b160fa703f40dd6a7c807ac344ccbf32c15

Pith citing papers

No inbound Pith citation observations are available.