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Paper Citation Record · LEDGER

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices

As of 9 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2606.17868.

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pith.paper-citation-record.v1
2606.17868 v1

Coverage vector

measured 65 of 65 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-26T21:58:54.359806Z

measured 65 of 65 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

65 of 65 outbound references displayed

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Outbound references

Observation 342df853-d9c3-4e15-945e-81fd23c1c067 · outbound

This paper cites Meanempiricalspectraldistributionfunctionκ 1(x) = ⟨iC (x)⟩for Erdős–Rényi adjacency matrices with mean con- nectivityc= 2,3,5.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Meanempiricalspectraldistributionfunctionκ 1(x) = ⟨iC (x)⟩for Erdős–Rényi adjacency matrices with mean con- nectivityc= 2,3,5

Reference 1

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Observation 4bc40713-df3b-4a68-9f8e-85c364cb9ca1 · outbound

This paper cites 015 y0 = 1.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices 015 y0 = 1

Reference 2

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Observation c99cc01d-89ee-4818-b84e-0532d4def7d5 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 3

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Observation 22305e6a-5838-41ab-995f-5373a175060a · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 4

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Observation b2fe6835-5763-440e-871c-6c089a7e6cbb · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 5

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Observation 3f2803bd-f49a-4d03-aca4-5eece000c01a · outbound

This paper cites Wishart, The generalised product moment distribu- tion in samples from a normal multivariate population, Biometrika20A, 32 (1928).

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Wishart, The generalised product moment distribu- tion in samples from a normal multivariate population, Biometrika20A, 32 (1928)

Reference 6

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Observation e45fb848-ea89-48c3-aaf4-a68ec79b3586 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 7

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Observation eb1bc587-820c-4d95-8e2c-bdc2c985f946 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 8

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Observation 4ffa0d04-fcf2-4084-af1e-19f1f8042c6c · outbound

This paper cites Akemann, J.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Akemann, J

Reference 9

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Observation b4220058-6b02-4f30-be0c-011dedab19d1 · outbound

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Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 10

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Observation 8b5fe66f-695e-498b-87a6-411e6631e402 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 11

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Observation f21dcff1-5ee3-4b4a-8a25-ea61219ff714 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 12

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Observation cb084c84-a13d-4b2b-9b50-e2cefbf16488 · outbound

This paper cites Erdős and H.-T.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Erdős and H.-T

Reference 13

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Observation 186feaf3-61ca-45b6-a4da-54997b3e3482 · outbound

This paper cites Tao,Topics in Random Matrix Theory, Graduate Studies in Mathematics, Vol.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Tao,Topics in Random Matrix Theory, Graduate Studies in Mathematics, Vol

Reference 14

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Observation 0161232b-b8af-4df4-8b38-ce8b4dfe0400 · outbound

This paper cites van Mieghem,Graph Spectra for Complex Networks (Cambridge University Press, 2010).

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices van Mieghem,Graph Spectra for Complex Networks (Cambridge University Press, 2010)

Reference 15

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Observation f304d631-9aa6-4ffc-8951-8eb28dc41f2a · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 16

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Observation 890b9dbc-b0fc-44b8-9dde-6a7ac4cd64df · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 17

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Observation b4ec074b-13a7-4613-8e92-5070d96e4f82 · outbound

This paper cites Bauer and O.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Bauer and O

Reference 18

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Observation d8209931-5e3f-49f1-9c3e-32383c8c07fc · outbound

This paper cites Khorunzhy, M.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Khorunzhy, M

Reference 19

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Observation 8b19fa43-425e-4d5b-87fb-00d72e80840a · outbound

This paper cites Semerjian and L.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Semerjian and L

Reference 20

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Observation 6564f51d-5823-4b5e-8ece-93bb54cd1a1e · outbound

This paper cites Abou-Chacra, D.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Abou-Chacra, D

Reference 21

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Observation 7693faf1-64db-4a53-9f9f-2ab43adc5aaa · outbound

This paper cites Fyodorov and A.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Fyodorov and A

Reference 22

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Observation 1387cf06-ce76-4adf-84f0-26d918be89f1 · outbound

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Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 23

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Observation cdba88f9-0e91-4bc9-982a-daa370e4f022 · outbound

This paper cites Statistics of delta peaks in the spectral density of large random trees.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Statistics of delta peaks in the spectral density of large random trees

Reference 24

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Observation 9328f805-4f4e-4237-864d-08ba922a20d0 · outbound

This paper cites Benaych-Georges, C.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Benaych-Georges, C

Reference 25

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Observation 04ecca82-f5fa-4eb3-8576-2b99d443ed27 · outbound

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Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

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Observation c1be7a9e-2e30-4352-97f3-33795187605b · outbound

This paper cites Maritan, Predicting the stability of large structured food webs, Nat.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Maritan, Predicting the stability of large structured food webs, Nat

Reference 27

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Observation 55927e7a-918c-4d7b-bcf4-2e133d34ab89 · outbound

This paper cites Grilli, T.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Grilli, T

Reference 28

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Observation fb9e58ef-2f34-422d-acfb-caf86b31901c · outbound

This paper cites Gibbs, J.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Gibbs, J

Reference 29

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Observation e5a378d7-10e6-4ed3-99a9-77174c46a012 · outbound

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Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 30

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Observation f08c3e16-c26e-466c-a234-627033bba9b9 · outbound

This paper cites Ahmadian, F.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Ahmadian, F

Reference 31

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Observation 1d5fc141-19bd-45b8-ac8f-7a46d6f5cdbd · outbound

This paper cites Diaconis and S.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Diaconis and S

Reference 32

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Observation f3b63437-1f8c-4643-b2ad-d18517b63762 · outbound

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Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

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Observation 4454dbda-a71f-4ca4-9644-c0583a02cbd1 · outbound

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Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 34

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Observation ed1e4ecb-e9cb-434a-a554-06eebbcca0a7 · outbound

This paper cites Ben Arous and A.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Ben Arous and A

Reference 35

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Observation f9a309ad-04c8-4089-9149-a9988190d70f · outbound

This paper cites Hiai and D.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Hiai and D

Reference 36

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Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 37

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Observation c81e8784-5b9c-4e97-a0e1-fa6f6ef3bc7b · outbound

This paper cites Spectral large deviations of sparse random matrices.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Spectral large deviations of sparse random matrices

Reference 38

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Observation 7352b100-195e-4d1f-9605-d77a76f504e6 · outbound

This paper cites Large deviations of the empirical spectral measure of supercritical sparse Wigner matrices.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Large deviations of the empirical spectral measure of supercritical sparse Wigner matrices

Reference 39

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Observation b6ba126d-6939-4c8b-98c3-58c496a8eaeb · outbound

This paper cites Central limit theorems for linear spectral statistics of inhomogeneous random graphs with graphon limits.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Central limit theorems for linear spectral statistics of inhomogeneous random graphs with graphon limits

Reference 40

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Observation ad43d1b7-c2c7-4050-909e-9501ea7702d4 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 41

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Observation a4292b51-0ab3-4d0a-99fe-c7c851a8bdc9 · outbound

This paper cites Mézard, G.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Mézard, G

Reference 42

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Observation 697b8665-55de-47b4-b1ce-6d35a6d0f327 · outbound

This paper cites Mézard and A.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Mézard and A

Reference 43

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:1d844701333b9831ddc6f9f52131eb650a93f278065e6ccc3a7b68bccdd5f804

Observation 7ccb71ed-a0ee-48a8-befe-b31a810c8de9 · outbound

This paper cites Mézard and G.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Mézard and G

Reference 44

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:7c680a5490cfe23b9a7b5804d28d44ac5e33fb102bce62354f719d85e87f6689

Observation 9e94f7dc-7e0c-46af-82ab-c4a84ba1b1d8 · outbound

This paper cites Kühn, Spectra of sparse random matrices, J.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Kühn, Spectra of sparse random matrices, J

Reference 45

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Observation a2206ea3-fc7d-4e58-bd58-4f111836fc01 · outbound

This paper cites Rogers, I.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Rogers, I

Reference 46

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:d94742b1dc360994515f2f29d829f8c3beb68b03f781963de787b1ad121fc3ad

Observation 91264799-2327-41cf-9bcb-cc5f7dd56f85 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 47

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Observation f8f57738-af63-41cd-bb8a-13e779c72e6a · outbound

This paper cites Bordenave and M.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Bordenave and M

Reference 48

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Observation f571d330-9fe0-48c2-99b6-ec6d3c19c9d3 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 49

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Observation bbf65347-fdf9-4a9f-a23e-61ff1cfe15a2 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 50

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:427916e9bda0364062562bdac7f53ff81a237a1e2695ae7fcb33e8f0349691b9

Observation 8bda0969-94db-4b7e-be6d-61b285dc9efa · outbound

This paper cites Pérez Castillo and F.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Pérez Castillo and F

Reference 51

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:bd53d494b4a749e0b6eb8667a502755564d78c6385150310d431e9814911a63c

Observation 5e7d128b-8c37-4b95-a04e-d66a884244a9 · outbound

This paper cites Dembo and O.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Dembo and O

Reference 52

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:902dbd6b3c53c4d44ec1b38bfd1e8fba7c3bd7342af8f3d015d872e25af0d701

Observation c0c64938-2b0a-4379-a7b6-926b759358b3 · outbound

This paper cites Touchette, The large deviation approach to statistical mechanics, Phys.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Touchette, The large deviation approach to statistical mechanics, Phys

Reference 53

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Observation 57bc75fa-88fa-49ec-879f-0378541b87c1 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 54

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:4aefce5435efc05b17aaa879d3537af943b5f2bbef854152f54bdd7a574a9cc1

Observation 8a4b4f6d-9bc5-474a-a154-7a05f1a577b0 · outbound

This paper cites Debrecen6, 290 (1959).

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Debrecen6, 290 (1959)

Reference 55

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:770672a8b6673d5b824e9fbce3e813fcdd76202a8ee4d770905cabfcdb06097e

Observation 6644d0e1-f194-49ae-a7d4-75ea8cac7d4b · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 56

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Observation 7fc6eb09-933c-4d80-98e5-10917b976bba · outbound

This paper cites Guzmán-González and I.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Guzmán-González and I

Reference 57

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Observation 50da2b8b-170d-4dce-b7d3-56aa8e5632d8 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 58

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:de38baf834e23fb65e003fbf6f64b89993cafff62681241a1fba7c525b74fc40

Observation 095ae564-463b-4eb1-987e-ab8cfb25b031 · outbound

This paper cites Pérez Castillo and F.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Pérez Castillo and F

Reference 59

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Observation 5a3e6d5a-6068-40b9-9376-caa4ea95d132 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 60

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:75589c741b4e8ffa7b629819c3207bff17ad507f9bd0d62d43433431a0e1584c

Observation 97001852-47f7-45a4-a0ca-4f470c14c91f · outbound

This paper cites Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices

Reference 61

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:20d9f7361befd3a2a35a7c6d9039ea8932d13193b0e406cdb02c1761b23b8b5d

Observation b74a3299-cc13-4dab-b443-f0a7606ed00d · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 62

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:a83e3281f8e428fd0aefdad585389ded993b03ee31f4c7b8d2e614309f63ad1b

Observation a98d16a1-5317-4be9-a847-8297563ce3df · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 63

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:31d23abb2101a96e8cf91c121de8bad8734b583e3329b0c7ee2df9e140997150

Observation 6ccafd0b-a5a8-4499-9efc-732353e81335 · outbound

This paper cites an unresolved cited work.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices Unresolved cited work

Reference 64

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:fe17ec3ca0813bade2bad46d4dff109a6ad06e417f15f7180c6722bd8fd5c5a9

Observation b73f64b6-7bce-4b6d-9375-911927fceae3 · outbound

This paper cites n+ lY a=1 δ(yla −y laj) #.

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices n+ lY a=1 δ(yla −y laj) #

Reference 65

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source=pdf_text observed=2026-06-26T21:58:54.359806Z digest=sha256:f7a9708a281549381f00b631e99cea1d284327275320509589a1a57959d8bbe1

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