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Paper Citation Record · LEDGER

Products of Complex Rectangular and Hermitian Random Matrices

As of 18 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 0 inbound Pith citation observations for arXiv:1908.09408.

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

pith.paper-citation-record.v1
1908.09408 v2

Coverage vector

measured 86 of 86 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:22:09.306397Z

measured 86 of 86 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 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

86 of 86 outbound references displayed

  • verified exact16
  • verified fuzzy26
  • unresolved43
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 75573c0a-5f8a-4507-ac17-e0732fbc07ac · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 1

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Observation df356251-d2ec-4583-a878-7c89f7313c80 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-14T11:22:08.959791Z digest=sha256:e3dbb2403b1a05c2e7bae6caab0ba8e143e5d12fc8737f18bbf8907b3d69347f

Observation 71616dcb-c4db-41b3-9a37-2d22e0b058d9 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-14T11:22:08.965107Z digest=sha256:68714bba5028ddab5fd513c2e0e4f46b8b5e3bac625c2b41b7bf69315998008b

Observation 18d88385-34d6-4b45-b032-ae8224882db2 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-14T11:22:08.970205Z digest=sha256:6babd94e959a9318ee532bcc5b78d91e149f0eff351099813d5381a9862b0c6c

Observation a95198cc-c335-469a-a7e5-97dfdfcf42e6 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-14T11:22:08.975213Z digest=sha256:77cbd19776bc1b6386733dc26d60acf485bb43a69285729ee73bce77d7c51356

Observation 68b5293b-c4e3-4e94-b92a-57bd8760cc1a · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-14T11:22:08.979332Z digest=sha256:38cac53912a764b7ce51f554bb55e102f5684b9aa49830fa368620efb815c632

Observation e6f48f0c-542e-4d35-8552-c6eb5982b3d3 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-14T11:22:08.983617Z digest=sha256:e0e979150b37ada3be629988ec7416b3d6598c1b78d6581403abcc189714ffb3

Observation 2ac177d4-3c3e-4960-b0d6-c0170a19f1d2 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-14T11:22:08.988006Z digest=sha256:d440f159a008299076339a9b2257389f88387b358950e0cf68e7e9a53b0c38cb

Observation 3b2beac9-0e87-4557-b585-037136314c90 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-14T11:22:08.992356Z digest=sha256:695666ca7ced39675a8787da708b87a1a2db607b200d16be16f5b1edd45c2455

Observation a15323d5-4f84-4107-adca-0a3903417e4b · outbound

This paper cites , sn) ∈ Cn and L = diag (L1,.

Products of Complex Rectangular and Hermitian Random Matrices , sn) ∈ Cn and L = diag (L1,

Reference 10

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source=pdf_text observed=2026-08-14T11:22:08.996747Z digest=sha256:65b3cdad8915ba58ea3eb273c3c5423bf7511c9d10bd7aaea447e87dfd58295d

Observation 4905dffd-681f-4422-9ab5-df3b7b79fa78 · outbound

This paper cites [18, 25] for Gn, Ψ( s; g) = Φ( s, L(n); gg ∗) (18) for all s ∈ Cn and fixed L(n) as in Eq.

Products of Complex Rectangular and Hermitian Random Matrices [18, 25] for Gn, Ψ( s; g) = Φ( s, L(n); gg ∗) (18) for all s ∈ Cn and fixed L(n) as in Eq

Reference 11

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source=pdf_text observed=2026-08-14T11:22:09.001046Z digest=sha256:8fc3f645dc19ac90d8a656001f6221a7808a7568f854810f9298341eb5fb802f

Observation e5102f4c-da82-46f4-99da-665a5fa7a257 · outbound

This paper cites al ⁄= ak and sl ⁄= sk for all l ⁄= k, and L ∈ Zn 2.

Products of Complex Rectangular and Hermitian Random Matrices al ⁄= ak and sl ⁄= sk for all l ⁄= k, and L ∈ Zn 2

Reference 12

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source=pdf_text observed=2026-08-14T11:22:09.004929Z digest=sha256:0184f92da9a5e4ff76088b0e6aee7a88714ee7991902d059b5527c72144931d8

Observation 989c7096-1102-40f2-b6d1-518b69119daf · outbound

This paper cites The spherical function (18) is Ψ( s; a) =   n−1∏ j=0 j!   det[asb c ]b,c=1,...,n ∆ n(a)∆ n(s).

Products of Complex Rectangular and Hermitian Random Matrices The spherical function (18) is Ψ( s; a) =   n−1∏ j=0 j!   det[asb c ]b,c=1,...,n ∆ n(a)∆ n(s)

Reference 13

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

source=pdf_text observed=2026-08-14T11:22:09.008474Z digest=sha256:ff847909255c77ffb43fe07e428e14995979452ef6a4331156cf8a9d7313d70d

Observation 7b24d2ba-3c84-411e-8b88-db1dd39839c8 · outbound

This paper cites 7 This theorem is proven in Appendix A 1 in a very similar way as t he real counterpart with even dimensional antisymmetric matrices in [23].

Products of Complex Rectangular and Hermitian Random Matrices 7 This theorem is proven in Appendix A 1 in a very similar way as t he real counterpart with even dimensional antisymmetric matrices in [23]

Reference 14

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source=pdf_text observed=2026-08-14T11:22:09.012063Z digest=sha256:722ece51650f942f1211edb314291f3511612afd9e95a6725c23727beb774882

Observation 5508db2e-d1e1-4989-aec6-2a4ca94cbb1f · outbound

This paper cites Additionally, we choose ˜s ∈ Cr and ˜L ∈ {0, 1}r.

Products of Complex Rectangular and Hermitian Random Matrices Additionally, we choose ˜s ∈ Cr and ˜L ∈ {0, 1}r

Reference 15

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source=pdf_text observed=2026-08-14T11:22:09.015873Z digest=sha256:9b878b637681a4ccefa70ad6fecc02ef305abaa4819d6a99a622094dc54d46a8

Observation b0ed402f-e41d-4233-ae92-ad6da2aeae4b · outbound

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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-14T11:22:09.020148Z digest=sha256:5ca41bfb4049ec2fa1d025e68c598ed5da96ed00483846e1741b826ed5d7f3b1

Observation c1215542-def1-4a9f-8930-f18995d31c7b · outbound

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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-14T11:22:09.023927Z digest=sha256:28d3b363a1c7f55a262300f1b1a338064362e2bc77d535a73343b76532d76980

Observation b17588bb-f1c1-402a-8c33-fe1cc9968c59 · outbound

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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-14T11:22:09.028104Z digest=sha256:1a51b92ba0a3e1d1bd476d66f163197f9e6b67845b449942996dfa8973101c43

Observation 2bd82224-4362-4561-a47d-ea97c9ac94a7 · outbound

This paper cites In the second equalities, we slightly abuse notation and hav e to assume that sl ⁄= sk for l ⁄= k.

Products of Complex Rectangular and Hermitian Random Matrices In the second equalities, we slightly abuse notation and hav e to assume that sl ⁄= sk for l ⁄= k

Reference 19

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source=pdf_text observed=2026-08-14T11:22:09.031736Z digest=sha256:53cc6092c28af19fea36689e89e3eaa4a6cd0986a35e2ea507bf163ea528ab70

Observation fbb31e2e-ed27-49f3-b32c-3ca693806596 · outbound

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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-14T11:22:09.035601Z digest=sha256:b9e68e15c7904a0404ba56623d9e434cd626e151d106dad2cba7cfb6200f220f

Observation 79287983-8479-4cda-ae1f-6fb281ff594a · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-14T11:22:09.039687Z digest=sha256:51bf8da7a2a15915e32b94bb9108e45ee4dafed15d320ba77533c2070b8dafdb

Observation 18a654c2-6baa-426c-aea7-2ef7e0e52fcc · outbound

This paper cites The spherical transform SΦ is injective and, hence, invertible when restricted to its image.

Products of Complex Rectangular and Hermitian Random Matrices The spherical transform SΦ is injective and, hence, invertible when restricted to its image

Reference 22

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source=pdf_text observed=2026-08-14T11:22:09.043375Z digest=sha256:42233f8fb8bf26f32e032cf91b4bc500d1a12e24647653003a6ee2a228edfa7b

Observation a98fce84-2db0-4f5f-91b4-238dbf4b8b41 · outbound

This paper cites For Gn this statement is equal to the one in [25].

Products of Complex Rectangular and Hermitian Random Matrices For Gn this statement is equal to the one in [25]

Reference 23

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source=pdf_text observed=2026-08-14T11:22:09.047045Z digest=sha256:b0d7e4deb411f4180e1e499e98455b2a860e3a9117010b9919646109398c368d

Observation 7fcf3ee9-64f6-4dab-a7eb-2fa2d26a5c61 · outbound

This paper cites , wn ∈ L1 n−1(R+) is a K-invariant ensemble whose squared singular values a ∈ A are distributed as pA(a) = 1 n! ∆ n(a) det[wb(ac)]b,c=1,...,n det[Mwb(c)]b,c=1,...,n ∈ L1 Prob(An).

Products of Complex Rectangular and Hermitian Random Matrices , wn ∈ L1 n−1(R+) is a K-invariant ensemble whose squared singular values a ∈ A are distributed as pA(a) = 1 n! ∆ n(a) det[wb(ac)]b,c=1,...,n det[Mwb(c)]b,c=1,...,n ∈ L1 Prob(An)

Reference 24

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source=pdf_text observed=2026-08-14T11:22:09.051715Z digest=sha256:4acb3703788ad7e6f93a5ba35ef79df514bbe6ff0a0e4c555ace5267ff3b33ca

Observation 871adcc3-e877-4db2-a800-8e9f7264b677 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-14T11:22:09.055744Z digest=sha256:4bc0e076cdf7e526176d5265ccda8b473337a330792e3ead65c87e1a40c97abc

Observation 5bcd3447-b6c5-4eac-bb03-0a87df03ac09 · outbound

This paper cites , wn ∈ L1 n−1(R) is a K-invariant ensemble whose eigenvalues a ∈ D are distributed as pD(a) = 1 n! ∆ n(a) det[wb(ac)]b,c=1,...,n det[Mwb(c, c − 1)]b,c=1,...,n ∈ L1 Prob(Dn).

Products of Complex Rectangular and Hermitian Random Matrices , wn ∈ L1 n−1(R) is a K-invariant ensemble whose eigenvalues a ∈ D are distributed as pD(a) = 1 n! ∆ n(a) det[wb(ac)]b,c=1,...,n det[Mwb(c, c − 1)]b,c=1,...,n ∈ L1 Prob(Dn)

Reference 26

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raw_fallback, observed 2026-08-14T11:22:10.133670Z

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

source=pdf_text observed=2026-08-14T11:22:09.059722Z digest=sha256:cbcf705c1813aa3b177dde2b8cf85f8947b19d4afc0b7815bfaa9484da02bf02

Observation cb0d58f8-8939-4871-b42f-21f586670218 · outbound

This paper cites , wn ∈ L1 n−1(R+).

Products of Complex Rectangular and Hermitian Random Matrices , wn ∈ L1 n−1(R+)

Reference 27

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source=pdf_text observed=2026-08-14T11:22:09.063535Z digest=sha256:40f160f0d55b4443a6b53be1e5df505afd2f2a7af7bd44b1009c59254f8cf539

Observation 5becf0eb-2971-420c-a5eb-603b5c383dc0 · outbound

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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-14T11:22:09.067568Z digest=sha256:e3d7e028b5969b61e19f8383f1692b8dbb3e99b5eaf62d9d09d790d76edf9292

Observation 7609674b-a1f4-45cf-86c2-0b7355a8036d · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 29

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

source=pdf_text observed=2026-08-14T11:22:09.071309Z digest=sha256:02385f6aca6f0157532eb0c2e79f73e057fb5c212513d223df6f45738c585961

Observation 1ba8ac5c-80c3-42b8-85d7-40b0016599a8 · outbound

This paper cites (55) and Θ the Heaviside step function.

Products of Complex Rectangular and Hermitian Random Matrices (55) and Θ the Heaviside step function

Reference 30

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source=pdf_text observed=2026-08-14T11:22:09.075091Z digest=sha256:bca2b14a65dfef28c081c43bba912f0e106f99d4eff1a323c3cfcef5f2b5ec57

Observation d9697dab-bc29-472c-bea1-cd9bbbbb5e91 · outbound

This paper cites , aj−1, aj+1,.

Products of Complex Rectangular and Hermitian Random Matrices , aj−1, aj+1,

Reference 31

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raw_fallback, observed 2026-08-14T11:22:10.077536Z

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=2026-08-14T11:22:09.078763Z digest=sha256:3422394972b1367dd0f5b38c4f1bd46675b16d8b92e9195d0f17ec58c6ff75a4

Observation cefbfdfc-54d0-44bb-af16-c62f0e256d1f · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 32

Resolution
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raw_fallback, observed 2026-08-14T11:22:10.066654Z

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=2026-08-14T11:22:09.082693Z digest=sha256:6ce109b1ed5fce8b410079f048ad22e1fc2b8b3f95e94abec8d7a92122699435

Observation 44321e1d-6fdb-480d-b5b9-22fb199fb2f6 · outbound

This paper cites analytical response.

Products of Complex Rectangular and Hermitian Random Matrices analytical response

Reference 33

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raw_fallback, observed 2026-08-14T11:22:10.054485Z

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

source=pdf_text observed=2026-08-14T11:22:09.086229Z digest=sha256:eb76605693e3103169ce1f37dcf1b91e0553003cee8681bfdfc789227980869e

Observation 80199a0a-9593-4ed2-9fd7-d9b6aa4346f1 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 34

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unresolved
raw_fallback, observed 2026-08-14T11:22:10.042284Z

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=2026-08-14T11:22:09.090216Z digest=sha256:5b183d3415461d75dc9ec2a759357affa4c9373ac053566a5c003b02ae690177

Observation 5a2dd46c-3d75-4747-8794-528463f89835 · outbound

This paper cites Mellin-Fourier.

Products of Complex Rectangular and Hermitian Random Matrices Mellin-Fourier

Reference 35

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raw_fallback, observed 2026-08-14T11:22:10.031145Z

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

source=pdf_text observed=2026-08-14T11:22:09.094074Z digest=sha256:6cf26b4ab57d47f7c0e50b68bb22d5f1d5258b86ca78daaaa6d50f1b5345efaa

Observation cf2927d3-f267-4763-8a09-7cf69a6651da · outbound

This paper cites ,0)ˆk∗ ∈ H (n) l with a ∈ Dn and absorb the diagonalizing unitary matrix in the Haar dist ributed matrix k ∈ Kn in Eq.

Products of Complex Rectangular and Hermitian Random Matrices ,0)ˆk∗ ∈ H (n) l with a ∈ Dn and absorb the diagonalizing unitary matrix in the Haar dist ributed matrix k ∈ Kn in Eq

Reference 36

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source=pdf_text observed=2026-08-14T11:22:09.097746Z digest=sha256:b4b0a5f6c6229d6ea3096f9a65714a3d1e126a918c5e022a78c3aafe023c2ee3

Observation 5178de43-4d64-4c2b-b900-d8e180f668dd · outbound

This paper cites Thence, we only need to prove the latter.

Products of Complex Rectangular and Hermitian Random Matrices Thence, we only need to prove the latter

Reference 37

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source=pdf_text observed=2026-08-14T11:22:09.101662Z digest=sha256:1f3ac0599dbcaac756237172cc56389666f9491138a48f5a8c8d64f759bebc7d

Observation d7a66ba2-74fe-4dda-8770-d5b2f70ec5c1 · outbound

This paper cites Indeed when comparing the second lines of Eqs.

Products of Complex Rectangular and Hermitian Random Matrices Indeed when comparing the second lines of Eqs

Reference 38

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source=pdf_text observed=2026-08-14T11:22:09.106082Z digest=sha256:8596d0206e292d12a791a2807abf834ac1b39b296bca147e045b5d06befb6c09

Observation 2a680af6-d3eb-418a-90c3-5fa40e2e7b53 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-14T11:22:09.109790Z digest=sha256:8fd256b33edd438125427afe5152969c1e0701460c321c985f92ec588dd298ef

Observation 1bfac595-7a14-4c4b-8c05-ebe8a414cb31 · outbound

This paper cites Comparison of Eq.

Products of Complex Rectangular and Hermitian Random Matrices Comparison of Eq

Reference 40

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source=pdf_text observed=2026-08-14T11:22:09.113531Z digest=sha256:af813ed0c2de381af66deb2aa37cf658fa53418344a424ba259fcedbb52f2c04

Observation 9b00d500-cd0b-4d4c-80f5-e07328a7a14f · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 41

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source=pdf_text observed=2026-08-14T11:22:09.117809Z digest=sha256:c1876ae959fa935955a2d75bacce66a6e3fcb56ee498f136b7d82fe8a3591da5

Observation 0391cc14-32a8-4794-a766-2103d85d927f · outbound

This paper cites Determinantal point processes in the plane from products of random matrices.

Products of Complex Rectangular and Hermitian Random Matrices Determinantal point processes in the plane from products of random matrices

Reference 42

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local_arxiv, observed 2026-08-14T11:22:09.800903Z

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source=pdf_text observed=2026-08-14T11:22:09.122777Z digest=sha256:f0bd4566218f7dc5d6306ba23f071a734a367bd600c3402fd2fe5b1022b091ea

Observation d3825d9e-0775-48bb-8f69-bea1622cf6e0 · outbound

This paper cites Akemann and Z.

Products of Complex Rectangular and Hermitian Random Matrices Akemann and Z

Reference 43

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raw_fallback, observed 2026-08-14T11:22:09.948456Z

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source=pdf_text observed=2026-08-14T11:22:09.128161Z digest=sha256:9df0f1d81333fc0852364d1546c3f64b091071b6244a5f3626bb12cae20d7ff9

Observation f8dcb676-1133-4719-9890-0797c74e6743 · outbound

This paper cites Universal microscopic correlation functions for products of truncated unitary matrices.

Products of Complex Rectangular and Hermitian Random Matrices Universal microscopic correlation functions for products of truncated unitary matrices

Reference 44

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:09.131959Z digest=sha256:ef3cf3b9adb51f285bf71ff15c211a9b680e85e241d21dbdc9ac9f6e5e0f8900

Observation dc97fea6-1d3b-4420-b34d-61b6b5236bd6 · outbound

This paper cites Recent exact and asymptotic results for products of independent random matrices.

Products of Complex Rectangular and Hermitian Random Matrices Recent exact and asymptotic results for products of independent random matrices

Reference 45

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source=pdf_text observed=2026-08-14T11:22:09.136210Z digest=sha256:75ef421a6ac7af38d7f1b9c38d8c43794967527ed92f7a340242d2697aac1abd

Observation 1b4133eb-75d1-4463-8299-675879c12e74 · outbound

This paper cites Products of Rectangular Random Matrices: Singular Values and Progressive Scattering.

Products of Complex Rectangular and Hermitian Random Matrices Products of Rectangular Random Matrices: Singular Values and Progressive Scattering

Reference 46

Resolution
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local_arxiv, observed 2026-08-14T11:22:09.763681Z

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

source=pdf_text observed=2026-08-14T11:22:09.140909Z digest=sha256:bbbf4ab2beb72acd2125e0e80d3f47a6a41da0df7e56b0f19b2e1c54ebecb757

Observation 0d76240e-8ea8-479d-9b5e-4143230d5a80 · outbound

This paper cites Singular value correlation functions for products of Wishart random matrices.

Products of Complex Rectangular and Hermitian Random Matrices Singular value correlation functions for products of Wishart random matrices

Reference 47

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source=pdf_text observed=2026-08-14T11:22:09.145663Z digest=sha256:4039fde7fe61892e155f406987e9f331be0fab39621509343f91b7003a80fc5c

Observation 1b50ef28-a9ee-4165-9873-d2e15d69158c · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 48

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source=pdf_text observed=2026-08-14T11:22:09.150527Z digest=sha256:8617a95a126deefcf29a97dfad2601535e9e934fbaeab236a9e99f2ea36ed90e

Observation e1d44240-7696-4198-a732-aa161d27b66e · outbound

This paper cites Baryshnikov (2001): GUEs and queues , Probab.

Products of Complex Rectangular and Hermitian Random Matrices Baryshnikov (2001): GUEs and queues , Probab

Reference 49

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source=pdf_text observed=2026-08-14T11:22:09.154156Z digest=sha256:5117ef517eeb129219def06c56a13e8e78222cd8988f057d7b457b7be7aa54e4

Observation 6c4dece2-a314-49dd-ba5b-01d6eda6517f · outbound

This paper cites Biorthogonal ensembles.

Products of Complex Rectangular and Hermitian Random Matrices Biorthogonal ensembles

Reference 50

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source=pdf_text observed=2026-08-14T11:22:09.158352Z digest=sha256:0308b7daffec180980bb3d24de7e32de94d0687fdba2450958f6ec35ae4e09c6

Observation 689ceee2-3cfe-433c-8042-7a1a22f9b6a5 · outbound

This paper cites Correlation kernels for sums and products of random matrices.

Products of Complex Rectangular and Hermitian Random Matrices Correlation kernels for sums and products of random matrices

Reference 51

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local_arxiv, observed 2026-08-14T11:22:09.727169Z

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source=pdf_text observed=2026-08-14T11:22:09.162337Z digest=sha256:4c894f39bee44592c0f1924dddddc81ae317d78e3ccfc415ccec0a8e4492580e

Observation 82ec56e9-1c56-43f7-8c48-2adec9f3b49c · outbound

This paper cites Random and free positive maps with applications to entanglement detection.

Products of Complex Rectangular and Hermitian Random Matrices Random and free positive maps with applications to entanglement detection

Reference 52

Resolution
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source=pdf_text observed=2026-08-14T11:22:09.166668Z digest=sha256:bed8dd96e4552054222c7194e180cb8186db786d4a4c8cc8a3bc94acf5f36fb4

Observation d9eec2d0-0e14-476a-9eea-b5824a36d0ea · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-14T11:22:09.170971Z digest=sha256:d0cb50b4d09f28e7f6f7b1fc51efc75d5fb906e0af921e708719ccc67957979e

Observation 9038980c-c875-4974-97a2-df24462443ce · outbound

This paper cites Eigenvalue statistics for product complex Wishart matrices.

Products of Complex Rectangular and Hermitian Random Matrices Eigenvalue statistics for product complex Wishart matrices

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:09.695845Z

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source=pdf_text observed=2026-08-14T11:22:09.174815Z digest=sha256:3ec64d23bd3254015563a4540ece077eed044f8fec43a075a798976bc5e8d3f6

Observation 3324c764-06c3-4dcc-9557-36f927fc88aa · outbound

This paper cites Matrix product ensembles of Hermite-type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral.

Products of Complex Rectangular and Hermitian Random Matrices Matrix product ensembles of Hermite-type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral

Reference 55

Resolution
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local_arxiv, observed 2026-08-14T11:22:09.678217Z

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

source=pdf_text observed=2026-08-14T11:22:09.178886Z digest=sha256:520fad17140e9d914cdfa23272ccee5db6712f1babefcb1380c7e5e969fbdcbb

Observation 41248e66-ba55-413b-987c-787e704554fd · outbound

This paper cites Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles.

Products of Complex Rectangular and Hermitian Random Matrices Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles

Reference 56

Resolution
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local_arxiv, observed 2026-08-14T11:22:09.659650Z

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source=pdf_text observed=2026-08-14T11:22:09.182784Z digest=sha256:fb1cd8466eaebc550c935b58391878ed79296989c84c31ebabe543d3e660c043

Observation 8c2e1db0-7dd6-4e36-b4e7-0b169d7321be · outbound

This paper cites Polynomial Ensembles and P\'olya Frequency Functions.

Products of Complex Rectangular and Hermitian Random Matrices Polynomial Ensembles and P\'olya Frequency Functions

Reference 57

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source=pdf_text observed=2026-08-14T11:22:09.186850Z digest=sha256:459a65ff8a7b3279237053b40de1e79b2853c5e9aaf4cc3d3f30470aa91f607a

Observation 60a5fa2d-d593-457f-821c-ca4f2b8b3a58 · outbound

This paper cites Products of Many Large Random Matrices and Gradients in Deep Neural Networks.

Products of Complex Rectangular and Hermitian Random Matrices Products of Many Large Random Matrices and Gradients in Deep Neural Networks

Reference 58

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source=pdf_text observed=2026-08-14T11:22:09.191284Z digest=sha256:cb5f635e9b724c5c6630d426a0a4532776475436341fdf7d19aeb248a39b7cab

Observation e3270a98-2c16-4b14-84fb-62b7b9fd3201 · outbound

This paper cites Helgason (2000): Groups and Geometric Analysis.

Products of Complex Rectangular and Hermitian Random Matrices Helgason (2000): Groups and Geometric Analysis

Reference 59

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source=pdf_text observed=2026-08-14T11:22:09.195166Z digest=sha256:3110bd9b0110eba2dbaeb0b1270afe4f99ca731cc0305b249fd104ff0da7c81a

Observation 9cd2e278-5fe5-415d-b28b-77fd5c87f617 · outbound

This paper cites Weak Commutation Relations and Eigenvalue Statistics for Products of Rectangular Random Matrices.

Products of Complex Rectangular and Hermitian Random Matrices Weak Commutation Relations and Eigenvalue Statistics for Products of Rectangular Random Matrices

Reference 60

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source=pdf_text observed=2026-08-14T11:22:09.198748Z digest=sha256:068bd2521c9968c647ca415a77941f9a56a151ec5fcfdd6a05bac82456fb89ce

Observation 7b1b919a-4184-4fa6-98a0-7de025848d35 · outbound

This paper cites Additive Matrix Convolutions of P\'olya Ensembles and Polynomial Ensembles.

Products of Complex Rectangular and Hermitian Random Matrices Additive Matrix Convolutions of P\'olya Ensembles and Polynomial Ensembles

Reference 61

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local_arxiv, observed 2026-08-14T11:22:09.607646Z

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source=pdf_text observed=2026-08-14T11:22:09.202509Z digest=sha256:33496bcca7e5525519f0cd55818d48516e27b5d0e28c439cea2666c25132336e

Observation 7f4c67bc-de8d-48d5-bfe4-2c027bd2c245 · outbound

This paper cites Hard Edge Statistics of Products of P\'olya Ensembles and Shifted GUE's.

Products of Complex Rectangular and Hermitian Random Matrices Hard Edge Statistics of Products of P\'olya Ensembles and Shifted GUE's

Reference 62

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local_arxiv, observed 2026-08-14T11:22:09.591327Z

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

source=pdf_text observed=2026-08-14T11:22:09.207277Z digest=sha256:84e996ede84afc37507f15378097c044195313038bd3aa3094d7d5009cb46e7d

Observation 04e60c8d-8b89-4b0b-9c5b-f3a272540480 · outbound

This paper cites Closed-form performance analysis of linear MIMO receivers in general fading scenarios.

Products of Complex Rectangular and Hermitian Random Matrices Closed-form performance analysis of linear MIMO receivers in general fading scenarios

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:09.575904Z

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

source=pdf_text observed=2026-08-14T11:22:09.211427Z digest=sha256:e5a95eb7ff4a264b035ad046da5f93350d45362fcda92f8a2cd77825150648f1

Observation e9f6112b-c9fb-4eed-b380-15d79712b812 · outbound

This paper cites Multiplicative Convolution of Real Asymmetric and Real Antisymmetric Matrices.

Products of Complex Rectangular and Hermitian Random Matrices Multiplicative Convolution of Real Asymmetric and Real Antisymmetric Matrices

Reference 64

Resolution
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local_arxiv, observed 2026-08-14T11:22:09.558215Z

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

source=pdf_text observed=2026-08-14T11:22:09.215462Z digest=sha256:275ea2cfce2adfc0f1de04ed6fc76e7dfba8605a78792b55798cfa0c4d285d32

Observation 0757e010-1f8e-4485-9261-bd5ce1efd88f · outbound

This paper cites Derivation of determinantal structures for random matrix ensembles in a new way.

Products of Complex Rectangular and Hermitian Random Matrices Derivation of determinantal structures for random matrix ensembles in a new way

Reference 65

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:09.219582Z digest=sha256:61dcd05169df76a8a7373cbbe8c16f398555a66ca7cef0eba97435bec3c97bb0

Observation d5ae33d9-12a4-447c-ad75-bd3bcfc716a9 · outbound

This paper cites Exact Relation between Singular Value and Eigenvalue Statistics.

Products of Complex Rectangular and Hermitian Random Matrices Exact Relation between Singular Value and Eigenvalue Statistics

Reference 66

Resolution
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source=pdf_text observed=2026-08-14T11:22:09.223821Z digest=sha256:c46d78e3ec01a00acd7618c985e1ee140e9dfceca80a82b25ac9c1d3d202c357

Observation 7c60365e-a108-4c5e-8cdc-94b075128bee · outbound

This paper cites Products of Random Matrices from Polynomial Ensembles.

Products of Complex Rectangular and Hermitian Random Matrices Products of Random Matrices from Polynomial Ensembles

Reference 67

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source=pdf_text observed=2026-08-14T11:22:09.227467Z digest=sha256:241289fb46aabbde8f1e213bac78b4d6af25963bf36fb7ca03640e5add73795b

Observation 5471e56e-e8ad-4c4c-b708-eaa1784713c1 · outbound

This paper cites Singular value statistics of matrix products with truncated unitary matrices.

Products of Complex Rectangular and Hermitian Random Matrices Singular value statistics of matrix products with truncated unitary matrices

Reference 68

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source=pdf_text observed=2026-08-14T11:22:09.232300Z digest=sha256:5c4ea0d5eb26d61712919dbd10c92f5cd20ff2c2b6a22345e82932d52fb82314

Observation f79ccbdb-c7f1-4b79-b9b6-cdadea3e7e88 · outbound

This paper cites Transformations of polynomial ensembles.

Products of Complex Rectangular and Hermitian Random Matrices Transformations of polynomial ensembles

Reference 69

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:09.237221Z digest=sha256:5e2802d85bd87804f3df61e7e943c4c120e1d6e86d1b0674e1efa58897ad7012

Observation 3184a167-f653-4018-82be-90f65d0ede37 · outbound

This paper cites Spherical functions approach to sums of random Hermitian matrices.

Products of Complex Rectangular and Hermitian Random Matrices Spherical functions approach to sums of random Hermitian matrices

Reference 70

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:09.481500Z

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

source=pdf_text observed=2026-08-14T11:22:09.242080Z digest=sha256:020eaad12720d2901eb8e69fbcdbf655560dc83b49aa289e04b852ee7bc45b8c

Observation 705a7432-a025-4d32-9b17-703997318cd7 · outbound

This paper cites Singular values of products of random matrices and polynomial ensembles.

Products of Complex Rectangular and Hermitian Random Matrices Singular values of products of random matrices and polynomial ensembles

Reference 71

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no resolver link, observed 2026-08-14T11:22:09.246076Z

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source=pdf_text observed=2026-08-14T11:22:09.246076Z digest=sha256:350b4d48bf56b8c9493ef062035f0f0d1c4ccd9b24f72e4f6e4c8885e795d921

Observation 0cc35b77-7154-4636-bbd3-b046136b14db · outbound

This paper cites Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits.

Products of Complex Rectangular and Hermitian Random Matrices Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits

Reference 72

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source=pdf_text observed=2026-08-14T11:22:09.250210Z digest=sha256:846d87be56da5cc8bb6002b4c342088b4b4691e9f0be49e4298fd21eda415af6

Observation 341dd391-e88d-4ebc-bd88-bf8f2cd3d29d · outbound

This paper cites On the number of real eigenvalues of products of random matrices and an application to quantum entanglement.

Products of Complex Rectangular and Hermitian Random Matrices On the number of real eigenvalues of products of random matrices and an application to quantum entanglement

Reference 73

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Observation e617b4ed-fae0-4b6b-96ca-30432ea5661b · outbound

This paper cites The Dynamics of Learning: A Random Matrix Approach.

Products of Complex Rectangular and Hermitian Random Matrices The Dynamics of Learning: A Random Matrix Approach

Reference 74

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local_arxiv, observed 2026-08-14T11:22:09.423345Z

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Observation f1225f03-8b63-4640-9606-a9ecb95460ef · outbound

This paper cites Spectral statistics for product matrix ensembles of Hermite type with external source.

Products of Complex Rectangular and Hermitian Random Matrices Spectral statistics for product matrix ensembles of Hermite type with external source

Reference 75

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local_arxiv, observed 2026-08-14T11:22:09.406999Z

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Observation 32ec8073-5f94-4341-80a7-feba1b5bdf52 · outbound

This paper cites Universality for products of random matrices I: Ginibre and truncated unitary cases.

Products of Complex Rectangular and Hermitian Random Matrices Universality for products of random matrices I: Ginibre and truncated unitary cases

Reference 76

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Observation 75444a40-8af8-40be-92be-0216ad610a30 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 77

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Observation f316d322-3e6c-45e2-8eae-643ea6e65206 · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 78

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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 5a7b968d-5178-4c96-a1c9-74c6028dc075 · outbound

This paper cites Pólya (1913): Über Annäherung durch Polynome mit lauter reellen Wurzeln , Rend.

Products of Complex Rectangular and Hermitian Random Matrices Pólya (1913): Über Annäherung durch Polynome mit lauter reellen Wurzeln , Rend

Reference 79

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Observation 8689027d-3de7-45e1-ab79-07ad34b28580 · outbound

This paper cites Pólya (1915): Algebraische Untersuchungen über ganze Funktionen vom Ges chlechte Null und Eins , Journal für Math- ematik 145, 224–249.

Products of Complex Rectangular and Hermitian Random Matrices Pólya (1915): Algebraische Untersuchungen über ganze Funktionen vom Ges chlechte Null und Eins , Journal für Math- ematik 145, 224–249

Reference 80

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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 d41c3ba1-9ed6-4dcf-a20c-8219e2592062 · outbound

This paper cites Composition of quantum operations and products of random matrices.

Products of Complex Rectangular and Hermitian Random Matrices Composition of quantum operations and products of random matrices

Reference 81

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Observation 3953b662-8ed5-47d1-a2e9-80c2a9af172f · outbound

This paper cites Free Probability Theory.

Products of Complex Rectangular and Hermitian Random Matrices Free Probability Theory

Reference 82

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no resolver link, observed 2026-08-14T11:22:09.290851Z

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Observation 39da0d38-213f-4a44-8c9b-d01ac30de7b4 · outbound

This paper cites Dynamical Isometry is Achieved in Residual Networks in a Universal Way for any Activation Function.

Products of Complex Rectangular and Hermitian Random Matrices Dynamical Isometry is Achieved in Residual Networks in a Universal Way for any Activation Function

Reference 83

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Observation 28574ea0-9a80-46ba-8822-0498ae9fa6f3 · outbound

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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 84

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Observation 9b3f5626-e544-4037-b059-b0d1cfd376f8 · outbound

This paper cites Voiculescu (1991): Limit laws for Random matrices and free products , Invent.

Products of Complex Rectangular and Hermitian Random Matrices Voiculescu (1991): Limit laws for Random matrices and free products , Invent

Reference 85

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raw_fallback, observed 2026-08-14T11:22:09.825924Z

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Observation 9b81bf16-842e-4d22-b25a-f142dd677cea · outbound

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 86

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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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Pith citing papers

No inbound Pith citation observations are available.