Products of Complex Rectangular and Hermitian Random Matrices | Paper Citation Record

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Reference 1

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Reference 8

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Reference 9

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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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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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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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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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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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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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Reference 16

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Reference 17

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Reference 18

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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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Reference 20

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Reference 21

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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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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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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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Reference 25

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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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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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Reference 28

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Reference 29

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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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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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Reference 32

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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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Reference 34

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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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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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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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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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Reference 39

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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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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 41

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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

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:22:09.800903Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:22:09.948456Z

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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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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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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

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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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Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 48

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:22:09.922768Z

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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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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

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:22:09.727169Z

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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

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Reference 53

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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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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: verified exact; local_arxiv, observed 2026-08-14T11:22:09.678217Z

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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: malformed identifier; local_arxiv, observed 2026-08-14T11:22:09.659650Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.186850Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.191284Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:22:09.897301Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.198748Z

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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

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:22:09.607646Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:22:09.591327Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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 2026-08-16T06:30:59.297886+00:00.

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: verified exact; local_arxiv, observed 2026-08-14T11:22:09.558215Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.219582Z

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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: unresolved; no resolver link, observed 2026-08-14T11:22:09.223821Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.227467Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.232300Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.237221Z

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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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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

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

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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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.250210Z

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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

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:22:09.439375Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: verified exact; 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

Resolution: verified exact; 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

Resolution: unresolved; no resolver link, observed 2026-08-14T11:22:09.267387Z

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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

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:22:09.885898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:22:09.874381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:22:09.861988Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:22:09.849526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:22:09.379602Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: unresolved; 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

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:22:09.347404Z

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

This paper cites an unresolved cited work.

Products of Complex Rectangular and Hermitian Random Matrices Unresolved cited work

Reference 84

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:22:09.837824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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

Resolution: verified fuzzy; 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

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:22:09.814081Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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