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Paper Citation Record · LEDGER

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2402.05751.

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

pith.paper-citation-record.v1
2402.05751 v4

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T03:26:19.285552Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

37 of 37 outbound references displayed

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  • verified fuzzy33
  • unresolved4
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9317bb4a-2995-4dc8-812b-f1fe965e1a18 · outbound

This paper cites Abels, G.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Abels, G

Reference 1

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Observation 3e2bf702-da10-46d5-ba34-34227065e228 · outbound

This paper cites Random subgroups of linear groups are free.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Random subgroups of linear groups are free

Reference 2

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Observation 0409842e-6d66-4484-b79c-f25ca5c91e55 · outbound

This paper cites The central limit theorem for eigenvalues.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions The central limit theorem for eigenvalues

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d30cf7d5-0a48-4844-ac23-6a0e351c9a63 · outbound

This paper cites Law of large numbers for the spectral radius of random matrix products.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Law of large numbers for the spectral radius of random matrix products

Reference 4

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation e9d571b8-3847-45c9-b6e8-5178ab164ab5 · outbound

This paper cites Limit theorems for non-commutative operations.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Limit theorems for non-commutative operations

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 4187d608-4e78-4ff1-bfc5-d8f3a9870a46 · outbound

This paper cites an unresolved cited work.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Unresolved cited work

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 3127d253-3e7e-4736-8a4e-64b1e1adcd90 · outbound

This paper cites o dinger operators , volume 8 of Prog. Probab. Stat. Birkh \.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions o dinger operators , volume 8 of Prog. Probab. Stat. Birkh \

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:13f5b845968f99433282b0cea446748311d0a9c48d5ca0ba1384046a78929c07

Observation cfedd0fd-d0d2-4314-98a9-7d7c9c7d3766 · outbound

This paper cites large deviations for random walks on gromov-hyperbolic spaces.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions large deviations for random walks on gromov-hyperbolic spaces

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 39be5501-dae5-42ce-a189-512238ce4a5e · outbound

This paper cites Random walks on reductive groups , volume 62 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Random walks on reductive groups , volume 62 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8e53abeb-77ce-490c-a238-251db1a32223 · outbound

This paper cites Central limit theorem for linear groups.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Central limit theorem for linear groups

Reference 10

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 369cf45b-9765-42ca-a25f-e18e57a9a577 · outbound

This paper cites Central limit theorem on hyperbolic groups.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Central limit theorem on hyperbolic groups

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 50f4bd4f-4ab6-49e5-8263-050efcd29036 · outbound

This paper cites an unresolved cited work.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Unresolved cited work

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 7db5f5fc-011d-430c-bc2a-af660380c21f · outbound

This paper cites Limit theorems for the left random walk on gld (r).

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Limit theorems for the left random walk on gld (r)

Reference 13

Resolution
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Observation a4ef724f-8df2-40e5-8d19-1d2c33aa0efc · outbound

This paper cites On the koml\'os, major and tusn\'ady strong approximation for some classes of random iterates.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions On the koml\'os, major and tusn\'ady strong approximation for some classes of random iterates

Reference 14

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 394432c0-0fb2-4cf9-8061-b154e0968fcd · outbound

This paper cites Limit theorems for iid products of positive matrices.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Limit theorems for iid products of positive matrices

Reference 15

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation b55fd41e-7b5b-45d5-bff6-cb46ca67010f · outbound

This paper cites The poisson boundary of hyperbolic groups without moment conditions.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions The poisson boundary of hyperbolic groups without moment conditions

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation dc9f9671-b0d4-4fc5-9f04-3a9a9c745808 · outbound

This paper cites Random walks and contracting elements i: Deviation inequality and limit laws.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Random walks and contracting elements i: Deviation inequality and limit laws

Reference 17

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 337e29db-e947-49e6-be6c-ffe3ec3ab218 · outbound

This paper cites Random walks and contracting elements ii: Translation length and quasi-isometric embedding.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Random walks and contracting elements ii: Translation length and quasi-isometric embedding

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation aac02d66-4a35-42ab-b54b-5459704b0b52 · outbound

This paper cites Random walks and contracting elements iii: Outer space and outer automorphism group.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Random walks and contracting elements iii: Outer space and outer automorphism group

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:aa07f5256c9dc4199730e996d38f8a4e7c312b9cdac19983d45d7e83f2608611

Observation c472cd56-9e88-4431-8333-500014ef622e · outbound

This paper cites Furstenberg and H.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Furstenberg and H

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 1489455b-cb0e-4d9c-bcd4-eea1b1e39447 · outbound

This paper cites Boundary theory and stochastic processes on homogeneous spaces.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Boundary theory and stochastic processes on homogeneous spaces

Reference 21

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a3d74478-222f-45dd-9cef-54c7ef44d4b3 · outbound

This paper cites Goldsheid and G.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Goldsheid and G

Reference 22

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation fd36a145-78bf-41fa-802c-83e8afebac65 · outbound

This paper cites Exponential bounds for random walks on hyperbolic spaces without moment conditions.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Exponential bounds for random walks on hyperbolic spaces without moment conditions

Reference 23

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:f3ddbc6bb37a25680f58e763744ae19a0ac2996b2cebf1a72b31d34b66669884

Observation 2abfc942-5bbd-4810-876d-0574cdc44541 · outbound

This paper cites A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group

Reference 24

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Source-reported events for the cited work

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Observation b602f91f-b30a-4ec0-a2ec-11ae704f6e66 · outbound

This paper cites Frontiere de furstenberg, propri \'e t \'e s de contraction et th \'e oremes de convergence.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Frontiere de furstenberg, propri \'e t \'e s de contraction et th \'e oremes de convergence

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 99715243-ffb0-4307-a49b-c8ad01d7ff9a · outbound

This paper cites Guivarc'h and A.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Guivarc'h and A

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 311067b5-5714-4a59-a306-4cfe7fcf4086 · outbound

This paper cites Propri \'e t \'e s de contraction d'un semi-groupe de matrices inversibles.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Propri \'e t \'e s de contraction d'un semi-groupe de matrices inversibles

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d80f4fca-1cdd-423e-976f-c9fe22ffb141 · outbound

This paper cites Guivarc'h.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Guivarc'h

Reference 28

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 02da81ba-91df-43ae-9ead-6ae65eae6f63 · outbound

This paper cites an unresolved cited work.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Unresolved cited work

Reference 29

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raw_fallback, observed 2026-05-24T03:28:51.475874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 05095d90-6175-441c-9490-81c65e8bd161 · outbound

This paper cites an unresolved cited work.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Unresolved cited work

Reference 30

Resolution
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raw_fallback, observed 2026-05-24T03:28:51.486829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 9e90dee0-1fc5-47d6-a500-f6cc6dcfbf23 · outbound

This paper cites Convergence in distribution of products of random matrices.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Convergence in distribution of products of random matrices

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:306eafc688329e31b98ef45c1fe585e9fb8cfafbc5ee2931e3d1619e840bf872

Observation be512b96-2b7f-40cc-a5ea-4b993ab868b0 · outbound

This paper cites Theoremes limites pour les produits de matrices aleatoires.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Theoremes limites pour les produits de matrices aleatoires

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:52a79698b8fb89417544f3b9b292ddf8a1facbdc46da4ed9b62f2810ae3b1993

Observation 87bd7d35-5730-4fed-baa5-0a87118c6c5d · outbound

This paper cites Mathieu and A.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Mathieu and A

Reference 33

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:c79aac8b8099d465e2bec6a466dbfc331075a1d56763705bfb4969c1dbe26f14

Observation f7fdc1cd-1fe0-4bd3-80d3-2b696a951bfe · outbound

This paper cites Convergence in distribution of products of random matrices: A semigroup approach.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Convergence in distribution of products of random matrices: A semigroup approach

Reference 34

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raw_fallback, observed 2026-05-24T03:28:51.376569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:5bc2337abfd3aae14d458bc27ce97c9ed308a7b44717aa1b08bee604aac49d54

Observation b4bcebcc-aa7e-402a-b321-cdd0eae4b2ad · outbound

This paper cites Large deviation principle for random matrix products.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Large deviation principle for random matrix products

Reference 35

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raw_fallback, observed 2026-05-24T03:28:51.369105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:19e30964bd9fd8361e5d7c6c352a77ec388bf0982b1a6c26c0a33f85d71edb9d

Observation abb66911-bacb-4578-9083-f88dc6519074 · outbound

This paper cites Limit theorems for the coefficients of random walks on the general linear group.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Limit theorems for the coefficients of random walks on the general linear group

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T03:28:51.483510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:486e9afaefa297cfef897898d20a07d98708f074d0e7d0830322842e7b3a48ec

Observation f2b77f20-811c-4a05-80ce-ca6141d075cf · outbound

This paper cites Edgeworth expansion and large deviations for the coefficients of products of positive random matrices.

Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions Edgeworth expansion and large deviations for the coefficients of products of positive random matrices

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T03:28:51.372754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-24T03:26:19.285552Z digest=sha256:c63e04526353f3c4120c50f8280609a7ef0843d9e199b73e243924652496895a

Pith citing papers

No inbound Pith citation observations are available.