Paper Citation Record · LEDGER

Asymptotics of Harish-Chandra transform and infinitesimal freeness

As of 18 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2412.09290.

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

pith.paper-citation-record.v1
2412.09290 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:13:07.197298Z

measured 51 of 51 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:01:54.612307Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:21:17.701474Z

Reference resolution

49 of 49 outbound references displayed

verified exact10
verified fuzzy25
unresolved14
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External citation measurements

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Outbound references

Observation 16515bda-47fc-4801-bace-fc967d6ec019 · outbound

This paper cites Arctic Boundaries of the Ice Model on Three-Bundle Domains.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Arctic Boundaries of the Ice Model on Three-Bundle Domains

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.846562Z

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Observation 722c0972-83f4-4ba4-acdd-ee588fa172f1 · outbound

This paper cites an unresolved cited work.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:13:08.532210Z

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Observation c79d7bfe-9116-4ff1-a118-aa9398856692 · outbound

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

Asymptotics of Harish-Chandra transform and infinitesimal freeness Finite-rank perturbations of random band matrices via infinitesimal free probability

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.809379Z

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Observation 9c38206d-a86c-49bc-a777-18687a17770a · outbound

This paper cites an unresolved cited work.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:13:08.512711Z

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Observation 406ee928-f822-4fa4-b449-7bce7c67b707 · outbound

This paper cites Belinschi, D.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Belinschi, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.482174Z

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Observation b08ac327-d2f1-4f54-9ff6-2e35d310975f · outbound

This paper cites Non-crossing cumulants of type B.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Non-crossing cumulants of type B

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.781133Z

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Observation c51c839d-e119-4afb-9de1-9d9b9cfea234 · outbound

This paper cites Biane, Representations of Symmetric Groups and Free Probability, Advances in Mathematics, 138, no.\ 1, (1998), 126--181.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Biane, Representations of Symmetric Groups and Free Probability, Advances in Mathematics, 138, no.\ 1, (1998), 126--181

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.458127Z

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Observation 06388050-1c7f-40a7-85d4-27186d214d86 · outbound

This paper cites Biane, Approximate factorization and concentration for characters of symmetric groups, International Mathematics Research Notices, 2001, no.\ 4, (2001), 179--192.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Biane, Approximate factorization and concentration for characters of symmetric groups, International Mathematics Research Notices, 2001, no.\ 4, (2001), 179--192

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.435452Z

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Observation 1b54e06c-cc48-4b68-b2a3-cb3a00650a65 · outbound

This paper cites Limit shapes for growing extreme characters of $U(\infty)$.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Limit shapes for growing extreme characters of $U(\infty)$

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.745911Z

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Observation eb44002b-bb83-418d-9bab-a6ba433dc268 · outbound

This paper cites Functional relations for higher-order free cumulants.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Functional relations for higher-order free cumulants

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.913748Z

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Observation a2999855-94d9-4456-bc4c-958876cb3d2c · outbound

This paper cites Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.681986Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 52cb9722-a42c-41e7-80c2-afb838aaf3bb · outbound

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

Asymptotics of Harish-Chandra transform and infinitesimal freeness Representations of classical Lie groups and quantized free convolution

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.932120Z

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Observation 7a0460d4-cf29-47d9-824d-d0b67a49f018 · outbound

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

Asymptotics of Harish-Chandra transform and infinitesimal freeness Fluctuations of particle systems determined by Schur generating functions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.940246Z

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Observation 1283189a-de09-4751-86b5-f6833d4095c8 · outbound

This paper cites Bufetov, V.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Bufetov, V

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.411261Z

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Observation 669701c6-f359-48f0-bcf5-a61af7c01faf · outbound

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

Asymptotics of Harish-Chandra transform and infinitesimal freeness Asymptotics of random domino tilings of rectangular Aztec diamonds

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.951486Z

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Observation e288c154-3a85-4afa-ace0-55270e0635ac · outbound

This paper cites Asymptotic domino statistics in the Aztec diamond.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Asymptotic domino statistics in the Aztec diamond

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.959093Z

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Observation e996c9aa-a2a2-4a7c-aacd-cfb6984755a8 · outbound

This paper cites A variational principle for domino tilings.

Asymptotics of Harish-Chandra transform and infinitesimal freeness A variational principle for domino tilings

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.964738Z

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Observation 5f8df5c2-67bc-4fbd-be00-59d8c7e4a8c9 · outbound

This paper cites Semiclassical asymptotics of $\operatorname{GL}_N(\mathbb{C})$ tensor products and quantum random matrices.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Semiclassical asymptotics of $\operatorname{GL}_N(\mathbb{C})$ tensor products and quantum random matrices

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:06.983660Z

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Observation 5d25f9df-8e94-4787-a66a-5fd2aff2211d · outbound

This paper cites Arctic curves of the six-vertex model on generic domains: the Tangent Method.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Arctic curves of the six-vertex model on generic domains: the Tangent Method

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.467859Z

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Observation d1776592-30d3-414d-a49f-55f3977a6ed8 · outbound

This paper cites Di Francesco, E.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Di Francesco, E

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.385489Z

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Observation af35f446-493f-4f94-8806-c8ecaee71a8e · outbound

This paper cites Di Francesco, E.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Di Francesco, E

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.364877Z

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Observation bbd794d8-60e7-4957-a218-8b5a69e65b5b · outbound

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

Asymptotics of Harish-Chandra transform and infinitesimal freeness Edrei, On the generation function of a doubly infinite, totally positive sequence

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.332926Z

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Observation 8682e23c-9d37-4d86-aaae-a2a8ed1055bd · outbound

This paper cites Fevrier, Higher Order Infinitesimal Freeness, Indiana University Mathematics Journal, Vol.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Fevrier, Higher Order Infinitesimal Freeness, Indiana University Mathematics Journal, Vol

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.306060Z

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Observation 36dff9ab-279c-48e8-b6ff-f57e028da159 · outbound

This paper cites Fevrier, A.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Fevrier, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.284876Z

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Observation 348126b8-040f-453e-a2b8-b871eda846e4 · outbound

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

Asymptotics of Harish-Chandra transform and infinitesimal freeness Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.434157Z

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Observation 66dc2af9-d815-4921-afbc-a62704dfc90f · outbound

This paper cites Gorin, Y.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Gorin, Y

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.251773Z

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Observation 4963c276-4125-41eb-b0e5-5756ea045612 · outbound

This paper cites An asymptotic log-Fourier interpretation of the R-transform.

Asymptotics of Harish-Chandra transform and infinitesimal freeness An asymptotic log-Fourier interpretation of the R-transform

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:07.043821Z

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Observation 52f8bcb3-1968-423a-8e1a-1597c99a9b8f · outbound

This paper cites Fourier transforms on a semisimple Lie algebra.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Fourier transforms on a semisimple Lie algebra

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.220434Z

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Observation 56cc1a82-497f-4f63-8238-0352d5c0d8e6 · outbound

This paper cites Huang, Law of large numbers and central limit theorems through Jack generating functions, Advances in Mathematics, Vol.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Huang, Law of large numbers and central limit theorems through Jack generating functions, Advances in Mathematics, Vol

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.188136Z

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Observation 26dc1b66-54ad-4a07-a283-3038fb0de353 · outbound

This paper cites Random Domino Tilings and the Arctic Circle Theorem.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Random Domino Tilings and the Arctic Circle Theorem

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:07.061241Z

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Observation 189b92ce-cdca-4ee5-84a7-ba4c707e4fe5 · outbound

This paper cites Johansson, The arctic circle boundary and the Airy process.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Johansson, The arctic circle boundary and the Airy process

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.160532Z

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Observation 4a5b8424-82f0-429a-a706-fdecba989f9f · outbound

This paper cites Kemmeter, B.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Kemmeter, B

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.135444Z

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Observation a0fefbea-0ce7-4c38-8a21-3f563330a862 · outbound

This paper cites Limit shapes and the complex burgers equation.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Limit shapes and the complex burgers equation

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T17:13:07.081933Z

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Observation 28a9a00e-2213-4b90-bf81-043369316221 · outbound

This paper cites Matsumoto, J.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Matsumoto, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.111466Z

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Observation 4e8bd4ea-14ba-4aa9-8d7c-611bc45585c1 · outbound

This paper cites Non-crossing Annular Pairings and The Infinitesimal Distribution of the GOE.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Non-crossing Annular Pairings and The Infinitesimal Distribution of the GOE

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.334661Z

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Observation b11d4a4e-cf73-4e46-ad18-1d2f59b23f7e · outbound

This paper cites Nica and R.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Nica and R

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.086017Z

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Observation 881d0310-d6b4-4007-a92b-41da85114e85 · outbound

This paper cites Olshanski, A.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Olshanski, A

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.064521Z

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Observation 02577680-7f6a-4eb4-b132-09d9a1900f47 · outbound

This paper cites Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.304902Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8351979f-fc7a-4a11-b0a0-4796c2829260 · outbound

This paper cites Asymptotics of Random Lozenge Tilings via Gelfand-Tsetlin Schemes.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Asymptotics of Random Lozenge Tilings via Gelfand-Tsetlin Schemes

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.273349Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ec8a30be-f0cb-4233-82cb-1455307556b2 · outbound

This paper cites Pickrell.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Pickrell

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:08.041067Z

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Observation 66d54c56-24bd-4f15-94ff-3490a2d214f6 · outbound

This paper cites an unresolved cited work.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:13:08.014781Z

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Observation 4c84677f-4ebb-460b-885f-313518ad58c1 · outbound

This paper cites Dimers in piecewise Temperleyan domains.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Dimers in piecewise Temperleyan domains

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:13:07.249298Z

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Observation 064996ff-5170-4c33-ae22-bf0e1a7e2d15 · outbound

This paper cites Shlyakhtenko.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Shlyakhtenko

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:07.993073Z

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Observation 2dea86ca-0c48-4b10-8a3a-e9c381132a1d · outbound

This paper cites Sniady, Gaussian fluctuations of characters of symmetric groups and of Young diagrams.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Sniady, Gaussian fluctuations of characters of symmetric groups and of Young diagrams

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:07.972406Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 37d77e0f-a036-4694-8b27-bed91be1426d · outbound

This paper cites Speicher.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Speicher

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:07.947460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 90ddb216-46af-49d2-94b0-d920ca9c6f34 · outbound

This paper cites Voiculescu, Addition of certain non-commuting random variables, J.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Voiculescu, Addition of certain non-commuting random variables, J

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:07.927026Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d4651376-0f82-409d-bdc7-c04e541bcd31 · outbound

This paper cites Voiculescu, Limit laws for random matrices and free products, Invent.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Voiculescu, Limit laws for random matrices and free products, Invent

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:07.900666Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d7a71bd7-ea5e-4ccd-8ad5-44f921d0e94b · outbound

This paper cites Voiculescu, Representations factorielles de type II_1 de U( ).

Asymptotics of Harish-Chandra transform and infinitesimal freeness Voiculescu, Representations factorielles de type II_1 de U( )

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:07.876749Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9074c9af-83fb-429a-8b85-955ca0c1ea21 · outbound

This paper cites Weyl, The Classical Groups: Their Invariants and Representations.

Asymptotics of Harish-Chandra transform and infinitesimal freeness Weyl, The Classical Groups: Their Invariants and Representations

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:13:07.850076Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

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

$q$-deformed Perelomov-Popov measures and quantized free probability cites this paper.

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

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T22:01:54.612307Z

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Unavailable: canonical work link unavailable.

Observation c09cfdd4-45e3-45c9-ae92-8aeac21848bb · inbound

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions cites this paper.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Asymptotics of Harish-Chandra transform and infinitesimal freeness

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:21:17.705085Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.