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Paper Citation Record · LEDGER

Information geometry for types in the large-$n$ limit of random matrices

As of 11 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 0 inbound Pith citation observations for arXiv:2501.00703.

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

pith.paper-citation-record.v1
2501.00703 v2

Coverage vector

measured 77 of 77 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:54:22.437248Z

measured 77 of 77 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

77 of 77 outbound references displayed

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External citation measurements

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Outbound references

Observation b93e213d-ca88-497f-8a6e-ce783c0cff25 · outbound

This paper cites On non-isomorphic universal sofic groups.

Information geometry for types in the large-$n$ limit of random matrices On non-isomorphic universal sofic groups

Reference 1

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Observation 9e62cca8-03f7-4888-a1b5-aaca2b7c8b09 · outbound

This paper cites An introduction toII1 factors.

Information geometry for types in the large-$n$ limit of random matrices An introduction toII1 factors

Reference 2

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Observation f8543c19-90fe-4f1c-afdb-712431466483 · outbound

This paper cites Anderson, Alice Guionnet, and Ofer Zeitouni.An Introduction to Random Matrices.

Information geometry for types in the large-$n$ limit of random matrices Anderson, Alice Guionnet, and Ofer Zeitouni.An Introduction to Random Matrices

Reference 3

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source=pdf_text observed=2026-08-10T22:54:22.088909Z digest=sha256:6a6b36bbed36ae8654f2c586b422a1bd1a2f411da80d93055555b0f3f0e2307d

Observation 46866188-2f4f-46f4-9e3e-04ef6475b581 · outbound

This paper cites an unresolved cited work.

Information geometry for types in the large-$n$ limit of random matrices Unresolved cited work

Reference 4

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Observation dbff31ef-df10-4ecb-9358-28f904eb1ec2 · outbound

This paper cites Factorial relative commutants and the generalized jung property for ii1 factors.Advances in Mathematics, 396:108107, 2022.

Information geometry for types in the large-$n$ limit of random matrices Factorial relative commutants and the generalized jung property for ii1 factors.Advances in Mathematics, 396:108107, 2022

Reference 5

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source=pdf_text observed=2026-08-10T22:54:22.098156Z digest=sha256:7ff1102215989766d40f0cc3c0f80ef6af47558f014b6e510b0565c1ee025df9

Observation 898686ad-242b-486b-80d6-4b9befec385a · outbound

This paper cites On ultraproduct embeddings and amenability for tracial von neumann algebras.International Mathematics Research Notices, 2021(4):2882–2918, 10 2020.

Information geometry for types in the large-$n$ limit of random matrices On ultraproduct embeddings and amenability for tracial von neumann algebras.International Mathematics Research Notices, 2021(4):2882–2918, 10 2020

Reference 6

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Observation f8e016fc-d326-4e03-b81a-5413988380a8 · outbound

This paper cites Free moment measures and laws.Journal of Functional Analysis, 284(2):109756, 2023.

Information geometry for types in the large-$n$ limit of random matrices Free moment measures and laws.Journal of Functional Analysis, 284(2):109756, 2023

Reference 7

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Observation 1bcc78c0-129c-4ed4-b6ae-73c93a87426e · outbound

This paper cites Bakry and Michel´Emery.

Information geometry for types in the large-$n$ limit of random matrices Bakry and Michel´Emery

Reference 8

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Observation c076c8a3-e393-499d-a93a-323dda466b6b · outbound

This paper cites Bekerman, Alessio Figalli, and Alice Guionnet.

Information geometry for types in the large-$n$ limit of random matrices Bekerman, Alessio Figalli, and Alice Guionnet

Reference 9

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Observation 137ac9d0-8336-47d9-8885-0da95cfe2a65 · outbound

This paper cites Extremal models and direct integrals in affine logic.

Information geometry for types in the large-$n$ limit of random matrices Extremal models and direct integrals in affine logic

Reference 10

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source=pdf_text observed=2026-08-10T22:54:22.122731Z digest=sha256:7296d84e6d9bf4792a929a1e4fffb26076aede52b14c12d78c466ec3317e4f3d

Observation bbbafbf7-5281-4f5e-a923-bfed1dcc5802 · outbound

This paper cites Topometric spaces and perturbations of metric structures.Log Anal, 1:235–272, 2008.

Information geometry for types in the large-$n$ limit of random matrices Topometric spaces and perturbations of metric structures.Log Anal, 1:235–272, 2008

Reference 11

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source=pdf_text observed=2026-08-10T22:54:22.127868Z digest=sha256:6d2e4ff4568a7eac93e05f2caf5c19a9066b737f9ffba22d9c8ea9867f7e3724

Observation b3e0cffa-b117-4ce8-8a5d-cf1bb2f3db8b · outbound

This paper cites On theories of random variables.Israel J.

Information geometry for types in the large-$n$ limit of random matrices On theories of random variables.Israel J

Reference 12

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Observation 1e21adcc-2cd2-4100-81fa-a3af20325300 · outbound

This paper cites Ward Henson, and Alexander Usvyatsov.

Information geometry for types in the large-$n$ limit of random matrices Ward Henson, and Alexander Usvyatsov

Reference 13

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source=pdf_text observed=2026-08-10T22:54:22.137726Z digest=sha256:760240a3481bedf1cd75e11acb1252bd97e0aa02f8e322ae55b67886bac5e600

Observation b6042363-4d2f-4eeb-a406-c681d6e8dd37 · outbound

This paper cites Continuous first order logic and local stability.Transactions of the American Mathematical Society, 362(10):5213–5259, 10 2010.

Information geometry for types in the large-$n$ limit of random matrices Continuous first order logic and local stability.Transactions of the American Mathematical Society, 362(10):5213–5259, 10 2010

Reference 14

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Observation 97520130-60bb-41c5-8f45-e7714f81f324 · outbound

This paper cites Biane, M.

Information geometry for types in the large-$n$ limit of random matrices Biane, M

Reference 15

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raw_fallback, observed 2026-08-10T22:54:23.587704Z

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source=pdf_text observed=2026-08-10T22:54:22.146848Z digest=sha256:96650d15c7d1b45446ddf619a79be03fb5817735963e4879d3861d677495e4c8

Observation 725ea41c-2c7c-4857-a332-af63e1666b73 · outbound

This paper cites Logarithmic sobolev inequalities, matrix models and free entropy.Acta Mathematica Sinica, English Series, 19(3):497–506, 2003.

Information geometry for types in the large-$n$ limit of random matrices Logarithmic sobolev inequalities, matrix models and free entropy.Acta Mathematica Sinica, English Series, 19(3):497–506, 2003

Reference 16

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Observation f50fa519-3f40-40ac-b2ea-c90b2011ac56 · outbound

This paper cites Concavification of free entropy.Adv.

Information geometry for types in the large-$n$ limit of random matrices Concavification of free entropy.Adv

Reference 17

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Observation 0fb570a6-4f6d-47b6-bcbf-00c2264ee2c1 · outbound

This paper cites A free probability analogue of the Wasserstein metric on the trace- state space.Geometric and Functional Analysis, 11:1125–1138, 2001.

Information geometry for types in the large-$n$ limit of random matrices A free probability analogue of the Wasserstein metric on the trace- state space.Geometric and Functional Analysis, 11:1125–1138, 2001

Reference 18

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Observation 17b87a9f-f7d7-4c8b-9554-c3c33da7a285 · outbound

This paper cites Springer-Verlag, Berlin, Heidelberg, 2006.

Information geometry for types in the large-$n$ limit of random matrices Springer-Verlag, Berlin, Heidelberg, 2006

Reference 19

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Observation b4ad24c8-730d-411a-a9eb-4ef52027d334 · outbound

This paper cites an unresolved cited work.

Information geometry for types in the large-$n$ limit of random matrices Unresolved cited work

Reference 20

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Observation f02ab2e9-77b4-49e9-9188-89cd474bb366 · outbound

This paper cites Brown and Narutaka Ozawa.

Information geometry for types in the large-$n$ limit of random matrices Brown and Narutaka Ozawa

Reference 21

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Observation 1fb72d92-8048-4328-92ee-0e62e0a81855 · outbound

This paper cites A Survey on Connes' Embedding Conjecture.

Information geometry for types in the large-$n$ limit of random matrices A Survey on Connes' Embedding Conjecture

Reference 22

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source=pdf_text observed=2026-08-10T22:54:22.179253Z digest=sha256:da9e7ccfc9efa1f1d4ab2af45b628a8a2d4e10b6e23b5aef1073ff86b71e7fca

Observation 1ce44e8b-14d7-4b31-827d-3961bc288b7b · outbound

This paper cites A quantitative fourth moment theorem in free probability theory.Adv.

Information geometry for types in the large-$n$ limit of random matrices A quantitative fourth moment theorem in free probability theory.Adv

Reference 23

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Observation 81a6e394-0d4a-4a34-872b-ae10e7f1c038 · outbound

This paper cites Moment measures.J.

Information geometry for types in the large-$n$ limit of random matrices Moment measures.J

Reference 24

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raw_fallback, observed 2026-08-10T22:54:23.463045Z

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Observation 7776d18d-70ee-466c-a02d-c4d9f7e6cc88 · outbound

This paper cites A non-commutative Path Space approach to stationary free Stochastic Differential Equations.

Information geometry for types in the large-$n$ limit of random matrices A non-commutative Path Space approach to stationary free Stochastic Differential Equations

Reference 25

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source=pdf_text observed=2026-08-10T22:54:22.193704Z digest=sha256:51b5223351bcb7bc3d895c749e120a0335623e7d1a507247eb52e0a8c7274cf8

Observation d7435090-41f5-4894-a4c5-f18880f0b93a · outbound

This paper cites Free transport for convex potentials.New Zealand Journal of Mathematics, 52:259–359, 2021.

Information geometry for types in the large-$n$ limit of random matrices Free transport for convex potentials.New Zealand Journal of Mathematics, 52:259–359, 2021

Reference 26

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raw_fallback, observed 2026-08-10T22:54:23.446776Z

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source=pdf_text observed=2026-08-10T22:54:22.199420Z digest=sha256:cbaa0b62e3e67dd3c28dbf537048c53e5d1087ef62a1d6385c2496b1b18f7ad0

Observation 89d02446-2192-4069-a29b-265826ce3768 · outbound

This paper cites Free Stein Kernel and Moments maps.

Information geometry for types in the large-$n$ limit of random matrices Free Stein Kernel and Moments maps

Reference 27

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local_arxiv, observed 2026-08-10T22:54:22.525103Z

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Observation 007ccd71-c9fe-4e1e-ac88-cbc42670b2ec · outbound

This paper cites A sharp symmetrized free transport-entropy inequality for the semicircular law.

Information geometry for types in the large-$n$ limit of random matrices A sharp symmetrized free transport-entropy inequality for the semicircular law

Reference 28

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no resolver link, observed 2026-08-10T22:54:22.209011Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.209011Z digest=sha256:d13e9a35746917a426445fe66f3b165a611015b82858537db7890d52f5af4046

Observation ddf7b531-2161-41d9-828d-1df7c2e07b12 · outbound

This paper cites Gauthier-Villars, Paris, 2 edition, 1969.

Information geometry for types in the large-$n$ limit of random matrices Gauthier-Villars, Paris, 2 edition, 1969

Reference 29

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raw_fallback, observed 2026-08-10T22:54:23.429969Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.213596Z digest=sha256:a3508d3e1059abf76b3d30c289ef0f52895000286a531b2faad808c22fe6f440

Observation 26c527ef-fcc8-40f5-b2fb-2bb50b0d0285 · outbound

This paper cites Quantifier elimination inII1 factors.

Information geometry for types in the large-$n$ limit of random matrices Quantifier elimination inII1 factors

Reference 30

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raw_fallback, observed 2026-08-10T22:54:23.410915Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.217702Z digest=sha256:ba61ac23419be9f8dd903c97edcb7cdeb9502b75f7cbb9f787b69b4a497f465e

Observation 3fff524b-61d2-4ae1-9c26-0ca845ff6a28 · outbound

This paper cites Model theory of operator algebras II: model theory.Israel Journal of Mathematics, 201(1):477–505, 2014.

Information geometry for types in the large-$n$ limit of random matrices Model theory of operator algebras II: model theory.Israel Journal of Mathematics, 201(1):477–505, 2014

Reference 31

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raw_fallback, observed 2026-08-10T22:54:23.394452Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a0cc6888-37b1-4332-95f8-1dd0b9d5a8d8 · outbound

This paper cites A sharp symmetrized form of talagrand’s transport-entropy inequality for the gaussian measure.

Information geometry for types in the large-$n$ limit of random matrices A sharp symmetrized form of talagrand’s transport-entropy inequality for the gaussian measure

Reference 32

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raw_fallback, observed 2026-08-10T22:54:23.377071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.225658Z digest=sha256:e6b0c6f06a729757cf290e693ee2fce06f64ea081c664e0aac7b506a51291a9d

Observation dc47b559-b55a-4e7a-8def-9953cfaebb6c · outbound

This paper cites Stein kernels and moments maps.The Annals of Probability, 47(4):2172–2185, 2019.

Information geometry for types in the large-$n$ limit of random matrices Stein kernels and moments maps.The Annals of Probability, 47(4):2172–2185, 2019

Reference 33

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raw_fallback, observed 2026-08-10T22:54:23.360844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.229515Z digest=sha256:6645c683c2b987310d02a71e82e1b6317357e83b7b22834a9645d53ebed62638

Observation ad0f960b-73c2-4d43-90d7-a47977ca2122 · outbound

This paper cites Universality in several-matrix models via approximate transport maps.Acta Math., 217(1):81–176, 2016.

Information geometry for types in the large-$n$ limit of random matrices Universality in several-matrix models via approximate transport maps.Acta Math., 217(1):81–176, 2016

Reference 34

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raw_fallback, observed 2026-08-10T22:54:23.344664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.233851Z digest=sha256:7ab1914b65ac7ca58495bfe372ea693f39f4a4969d7705c08d1c98854211f036

Observation 63a0618e-f1c0-4b56-b357-1e92a21c4a95 · outbound

This paper cites Duality for optimal couplings in free probability.Communications in Mathematical Physics, 396:903–981, 2022.

Information geometry for types in the large-$n$ limit of random matrices Duality for optimal couplings in free probability.Communications in Mathematical Physics, 396:903–981, 2022

Reference 35

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no resolver link, observed 2026-08-10T22:54:22.238822Z

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source=pdf_text observed=2026-08-10T22:54:22.238822Z digest=sha256:c31dae32921d0c1cba9b6f2c9fe8247c28d19aa606195d0655ef2ceb3f5e71ee

Observation 8b90dead-3b37-4e7a-b31f-61bd5e7e3fbf · outbound

This paper cites A survey on the model theory of tracial von Neumann algebras.

Information geometry for types in the large-$n$ limit of random matrices A survey on the model theory of tracial von Neumann algebras

Reference 36

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verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.318058Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.243644Z digest=sha256:d1696b6dfc2261a4d25f6d52956b94daa2ece8a6a5075a2756c66a78afaa964c

Observation 673059bb-2dbc-497d-9b43-c63af0afca91 · outbound

This paper cites Logarithmic sobolev inequalities.American Journal of Mathematics, 97(4):1061–1083, 1975.

Information geometry for types in the large-$n$ limit of random matrices Logarithmic sobolev inequalities.American Journal of Mathematics, 97(4):1061–1083, 1975

Reference 37

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raw_fallback, observed 2026-08-10T22:54:23.301964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.248080Z digest=sha256:e8c9b3e12c201ee0e614d994a590ed2737dcc7b9ffc059ce8b40bd1da372e53f

Observation a6fc76d9-a1ec-4b12-806a-da371edc5992 · outbound

This paper cites Combinatorial aspects of random matrix models.Latin American Journal of Probability and Statistics (ALEA), 1:241–279, 2006.

Information geometry for types in the large-$n$ limit of random matrices Combinatorial aspects of random matrix models.Latin American Journal of Probability and Statistics (ALEA), 1:241–279, 2006

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.284504Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.253469Z digest=sha256:bbae2cb4368df2c04f83c25db672b24dd05acbe6c8c989d9499abfa21593f681

Observation 78e02479-c4f4-44f2-ba3d-d9d8fcbec3f6 · outbound

This paper cites On classical analogues of free entropy dimension.J.

Information geometry for types in the large-$n$ limit of random matrices On classical analogues of free entropy dimension.J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.269848Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.257766Z digest=sha256:1a2480417c38e179763ddfca0e5f51b929df2abf0e0c76292eeb9a8663adda95

Observation e6ed2de4-18f3-445d-a722-23e509f18d00 · outbound

This paper cites Free diffusions and matrix models with strictly convex interaction.

Information geometry for types in the large-$n$ limit of random matrices Free diffusions and matrix models with strictly convex interaction

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.254959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.262121Z digest=sha256:680dab00837092f6a53d979262a1192b5b7fd4cc1277efa100c69c60a3e0c5c4

Observation 22670de9-9bef-484a-b232-7fa407e7e520 · outbound

This paper cites Free monotone transport.Inventiones Mathematicae, 197(3):613–661, 09 2014.

Information geometry for types in the large-$n$ limit of random matrices Free monotone transport.Inventiones Mathematicae, 197(3):613–661, 09 2014

Reference 41

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no resolver link, observed 2026-08-10T22:54:22.267839Z

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source=pdf_text observed=2026-08-10T22:54:22.267839Z digest=sha256:bd85143af2ab083bd5512af72954ca2dee8ac62bca81017d6ef4c57780567767

Observation ac37c4b4-4e8a-4dae-9d2a-83aca75a1db9 · outbound

This paper cites An introduction to continuous model theory.

Information geometry for types in the large-$n$ limit of random matrices An introduction to continuous model theory

Reference 42

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unresolved
no resolver link, observed 2026-08-10T22:54:22.272466Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.272466Z digest=sha256:5119ec99a51b91e0e1794b42c677f1a4e64d063216fe11613e28293c90ff2ad5

Observation 3e74c041-bdf7-4cbb-8069-6a6ca87e98b1 · outbound

This paper cites 1-bounded entropy and regularity problems in von Neumann algebras.International Mathematics Research Notices, 1(3):57–137, 2018.

Information geometry for types in the large-$n$ limit of random matrices 1-bounded entropy and regularity problems in von Neumann algebras.International Mathematics Research Notices, 1(3):57–137, 2018

Reference 43

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no resolver link, observed 2026-08-10T22:54:22.277792Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.277792Z digest=sha256:45f28719615ce10a025be4be4bbc22c6e56155c8f1ce3531e34bcc33d248ff9f

Observation 3590a422-546d-4d50-b92c-7a4d5a426c22 · outbound

This paper cites A random matrix approach to absorption theorems for free products.International Mathematics Research Notices, 2021(3):1919–1979, 2021.

Information geometry for types in the large-$n$ limit of random matrices A random matrix approach to absorption theorems for free products.International Mathematics Research Notices, 2021(3):1919–1979, 2021

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.211082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.283273Z digest=sha256:92cb877d044843a660b065ccda8ef41351efb6a8fade1d25ab03103e28923ee0

Observation 0449ceac-6fca-43af-a0a8-0ce9cc24340c · outbound

This paper cites Free analog of pressure and its legendre transform.Commun.

Information geometry for types in the large-$n$ limit of random matrices Free analog of pressure and its legendre transform.Commun

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.195045Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.287518Z digest=sha256:838f768a6eb2973e33eb07a25380f0d0efb12957d1ed17ae76d3867b1bbf9325

Observation 3f9a8e00-997e-4a67-ab48-64f32d6734ef · outbound

This paper cites Free transportation cost inequalities for noncommutative multi-variables.

Information geometry for types in the large-$n$ limit of random matrices Free transportation cost inequalities for noncommutative multi-variables

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.178851Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.291462Z digest=sha256:16b5ecdf7becfbe26a3d4c5f36d78fb060f6a34ffbb8ed3d558283576313ecf7

Observation 6e726d03-a7d6-4855-90c1-9784a0919b4d · outbound

This paper cites An introduction to von neumann algebras.

Information geometry for types in the large-$n$ limit of random matrices An introduction to von neumann algebras

Reference 47

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no resolver link, observed 2026-08-10T22:54:22.295446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.295446Z digest=sha256:b15852328b96a3ad52215749b4bfb6b0ec10988f8c1076c7b17b8ea274a79382

Observation e2260b4c-fc2e-4389-85b6-f7875bc26a0f · outbound

This paper cites An elementary approach to free entropy theory for convex potentials.Anal.

Information geometry for types in the large-$n$ limit of random matrices An elementary approach to free entropy theory for convex potentials.Anal

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-10T22:54:22.299351Z

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source=pdf_text observed=2026-08-10T22:54:22.299351Z digest=sha256:f9c3abeb081a824767462694ed328ea0c1c17eb32e3a7ad18225063056a8f53c

Observation eb80cd08-af35-4679-b090-bca7d2775994 · outbound

This paper cites Conditional expectation, entropy, and transport for convex Gibbs laws in free probability.Int.

Information geometry for types in the large-$n$ limit of random matrices Conditional expectation, entropy, and transport for convex Gibbs laws in free probability.Int

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-10T22:54:22.304069Z

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source=pdf_text observed=2026-08-10T22:54:22.304069Z digest=sha256:95e4fcd6a36543eefe8a983c2e2da552db34e33d92d35153f3d2aed7b5ef262e

Observation e83efe6e-e17e-40fc-8603-3c380e6a0385 · outbound

This paper cites Covering entropy for types in tracialW∗-algebras.

Information geometry for types in the large-$n$ limit of random matrices Covering entropy for types in tracialW∗-algebras

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.135376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.308856Z digest=sha256:da8a0aa3237c3338e14131b1da1875c221713c7699674e8eed133d7b2ddb8dce

Observation 81d6d661-4933-48ad-b6bb-1ec62a476acd · outbound

This paper cites Free probability and model theory of tracialW∗-algebras.

Information geometry for types in the large-$n$ limit of random matrices Free probability and model theory of tracialW∗-algebras

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.120222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.314019Z digest=sha256:6fe47f8dc298d8c6c3a8ccf92cb669de9c1c10c344a6abac63e799f25687bfb2

Observation 3c97e706-50d2-4749-a74a-3501735501e5 · outbound

This paper cites Optimal transport for types and convex analysis for definable predicates in tracialW∗-algebras.

Information geometry for types in the large-$n$ limit of random matrices Optimal transport for types and convex analysis for definable predicates in tracialW∗-algebras

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.105415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.318844Z digest=sha256:f07b07af4ee541399ecfa287a996e01b03dde86e4d4bbfa433f36ed1cac5f7e6

Observation 58c7e4b1-4b1d-41a0-b5b1-889bfdb3e73e · outbound

This paper cites Tracial non-commutative smooth functions and the free Wasserstein manifold.Dissertationes Mathematicae, 580:1–150, 2022.

Information geometry for types in the large-$n$ limit of random matrices Tracial non-commutative smooth functions and the free Wasserstein manifold.Dissertationes Mathematicae, 580:1–150, 2022

Reference 53

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source=pdf_text observed=2026-08-10T22:54:22.323935Z digest=sha256:662d04f31882f1fee91dd22c80b33b4118a74b418548a56b042d4c77e625808b

Observation d6fc16be-1935-419e-8cfb-582a28c8a70a · outbound

This paper cites An elementary proof of the inequalityχ ≤ χ∗ for conditional free entropy.Doc.

Information geometry for types in the large-$n$ limit of random matrices An elementary proof of the inequalityχ ≤ χ∗ for conditional free entropy.Doc

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.077871Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.328495Z digest=sha256:cf3c97eb0a5defeddce973c28f0633c0b7277df0b79593af1b90238ea65bd647

Observation 040df2e7-34a3-4b7a-9c8f-1b047fe469ee · outbound

This paper cites MIP*=RE.

Information geometry for types in the large-$n$ limit of random matrices MIP*=RE

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T22:54:22.332916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.332916Z digest=sha256:ac63634330ac67f4861df9277bfacc5c6e594b1310a067a9fe7b72a6827541e3

Observation 82fadff7-10ec-4f0c-99e0-1c7fc471a138 · outbound

This paper cites The variational formulation of the Fokker–Planck equation.

Information geometry for types in the large-$n$ limit of random matrices The variational formulation of the Fokker–Planck equation

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.062855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.337672Z digest=sha256:a7a0714832fef57558624b194f41c6ff842799758058edd5dfb0ede68c8c8c17

Observation de5ff26c-a7dd-4252-8bdd-3dc3b449cae9 · outbound

This paper cites A free entropy dimension lemma.Pacific J.

Information geometry for types in the large-$n$ limit of random matrices A free entropy dimension lemma.Pacific J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.047455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.341942Z digest=sha256:11e49e418002a8355472636a465be4a6116fcf81e8d9058a77ab76724ff6b5ba

Observation 7adff837-b7e2-44a0-b916-a4dc2b6140bf · outbound

This paper cites Strongly1-bounded von Neumann algebras.Geom.

Information geometry for types in the large-$n$ limit of random matrices Strongly1-bounded von Neumann algebras.Geom

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.032366Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.346486Z digest=sha256:c87150a4313b2f451468184a56fdb894801f0dcca5493365f713fa9feeca988a

Observation 52d88bfe-76e9-4ae7-b9f2-4721ed0c20de · outbound

This paper cites Kadison and John R.

Information geometry for types in the large-$n$ limit of random matrices Kadison and John R

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:23.017332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.351100Z digest=sha256:2b313a4af8947fb4d7ad3d912fd38156040997fc00f62c20b9371fd301713c0f

Observation 7ef2ece9-f709-4956-ac22-62c64f33fe0f · outbound

This paper cites A general theorem on selectors.Bull.

Information geometry for types in the large-$n$ limit of random matrices A general theorem on selectors.Bull

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-10T22:54:22.355557Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T22:54:22.355557Z digest=sha256:f104cdfd021c3f15695e5c57a185ee4b51564dfc124574636e05b1d7a7642490

Observation ad01f556-9557-4171-ae5e-f8c4b078ea70 · outbound

This paper cites Lafferty.

Information geometry for types in the large-$n$ limit of random matrices Lafferty

Reference 61

Resolution
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no resolver link, observed 2026-08-10T22:54:22.360207Z

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source=pdf_text observed=2026-08-10T22:54:22.360207Z digest=sha256:de8eff98191f6d3d767ebaeaee1630192f8f786e59828eba1460f31a9d6b7baf

Observation 016b7be9-f687-4d4b-a1bc-66118c5540ee · outbound

This paper cites an unresolved cited work.

Information geometry for types in the large-$n$ limit of random matrices Unresolved cited work

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-10T22:54:22.364791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.364791Z digest=sha256:0adda6a15ce802ef1a1b4c87bc3401a5975b2de0df10190553a6fecda6b8c40c

Observation 24bb784c-1ebb-4570-8eb9-e58ba2d3c151 · outbound

This paper cites Free monotone transport without a trace.Communications in Mathematical Physics, 334(3):1245– 1298, 2015.

Information geometry for types in the large-$n$ limit of random matrices Free monotone transport without a trace.Communications in Mathematical Physics, 334(3):1245– 1298, 2015

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.971399Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.369368Z digest=sha256:ea48d2fda58b207ed7e717b7c5b57d6f794a778556ebfbf961b7829bed78423d

Observation 60c0668e-e6d6-4a6f-bd1b-9d75b3c445e3 · outbound

This paper cites The geometry of dissipative evolution equations the porous medium equation.Communications in Partial Differential Equations, 26(1-2):101–174, 2001.

Information geometry for types in the large-$n$ limit of random matrices The geometry of dissipative evolution equations the porous medium equation.Communications in Partial Differential Equations, 26(1-2):101–174, 2001

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.955964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.374946Z digest=sha256:679c90cedfe45ab062d35b2d6a6c8bc799f235192998cd623d3d090673b0e959

Observation b213fa33-cae7-4ca9-b28e-8f117fa6f1f5 · outbound

This paper cites Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality.Journal of Functional Analysis, 173(2):361–400, 2000.

Information geometry for types in the large-$n$ limit of random matrices Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality.Journal of Functional Analysis, 173(2):361–400, 2000

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-10T22:54:22.379622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.379622Z digest=sha256:45bca6367037213aa533546a3c59dca13de3fd0ee5b568c418b79a7c470f37d2

Observation 28676cb2-b656-4e9b-846f-0b0bae403729 · outbound

This paper cites Springer-Verlag, Berlin Heidelberg, 1971.

Information geometry for types in the large-$n$ limit of random matrices Springer-Verlag, Berlin Heidelberg, 1971

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.930756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.384322Z digest=sha256:ebff0dfc9a6a964ee8a63874b9550b7543f436d32eb2674574119097cc49eeaf

Observation de588415-8c0f-48a9-b8d0-432000a83855 · outbound

This paper cites Dealing with moment measures via entropy and optimal transport.Journal of Functional Analysis, 271(2):418–436, 2016.

Information geometry for types in the large-$n$ limit of random matrices Dealing with moment measures via entropy and optimal transport.Journal of Functional Analysis, 271(2):418–436, 2016

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-10T22:54:22.388856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.388856Z digest=sha256:adfe52cf37f55b9664a6030ff1ed8d036fe1036e1aabc51273638bb4e31a3665

Observation b2c91435-1df2-45ed-a9cc-3cb492281918 · outbound

This paper cites Fractional free convolution powers.Indiana University Mathematics Journal, To appear.

Information geometry for types in the large-$n$ limit of random matrices Fractional free convolution powers.Indiana University Mathematics Journal, To appear

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.901814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.393479Z digest=sha256:ad6d6cd91357dd55b2f48b4b22a09a3896238a6503c103a7c3b296c2f7d932ed

Observation 18966863-737d-4de0-a500-982c0c8bd029 · outbound

This paper cites PhD thesis, University of Illinois at Urbana-Champaign, 2011.

Information geometry for types in the large-$n$ limit of random matrices PhD thesis, University of Illinois at Urbana-Champaign, 2011

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.883339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:54:22.397734Z digest=sha256:b93f064a5adaddbcc24e1210f15be6ab4dd303654520433d25699e1d81525686

Observation 6ec02881-8143-4693-9eb8-c750ea263d69 · outbound

This paper cites Theory of Operator Algebras I, volume 124 of Encyclopaedia of Mathematical Sciences.

Information geometry for types in the large-$n$ limit of random matrices Theory of Operator Algebras I, volume 124 of Encyclopaedia of Mathematical Sciences

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.865443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 454ee33a-57b8-4d15-bfcd-29c6aa894196 · outbound

This paper cites Transportation cost for gaussian and other product measures.Geom.

Information geometry for types in the large-$n$ limit of random matrices Transportation cost for gaussian and other product measures.Geom

Reference 71

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Observation 96863b83-c695-4877-a0e0-7644e70141a0 · outbound

This paper cites Amer- ican Mathematical Society, 2012.

Information geometry for types in the large-$n$ limit of random matrices Amer- ican Mathematical Society, 2012

Reference 72

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raw_fallback, observed 2026-08-10T22:54:22.832529Z

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source=pdf_text observed=2026-08-10T22:54:22.411592Z digest=sha256:88c37ed7cdac4dbf8d4b0bc03fde628c960733e9bd89d2d3c665c26e42261df8

Observation 376ff643-b207-4c17-bd5d-b2157933c2b8 · outbound

This paper cites Springer, Berlin, 2009.

Information geometry for types in the large-$n$ limit of random matrices Springer, Berlin, 2009

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.816489Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T22:54:22.417174Z digest=sha256:0a7d18d4adbdf294aa51df143123b809d296accfbca3a1086278ad7b8404dfe0

Observation ca32da7c-643c-43fe-bfbe-ec2441422ce1 · outbound

This paper cites The analogues of entropy and of Fisher’s information in free probability, II.Inventiones Mathematicae, 118:411–440, 1994.

Information geometry for types in the large-$n$ limit of random matrices The analogues of entropy and of Fisher’s information in free probability, II.Inventiones Mathematicae, 118:411–440, 1994

Reference 74

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no resolver link, observed 2026-08-10T22:54:22.421880Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.421880Z digest=sha256:9287c724a13334ea42bef5375527b8cc7e4fefd7e1d742092ef4cad6466ebc00

Observation d5d872b1-6bfc-4407-9382-bc8285227906 · outbound

This paper cites The analogues of entropy and of Fisher’s information measure in free probability, III: Absence of Cartan subalgebras.Geometric and Functional Analysis, 6:172–199, 1996.

Information geometry for types in the large-$n$ limit of random matrices The analogues of entropy and of Fisher’s information measure in free probability, III: Absence of Cartan subalgebras.Geometric and Functional Analysis, 6:172–199, 1996

Reference 75

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source=pdf_text observed=2026-08-10T22:54:22.426944Z digest=sha256:2334cb311ac1765063a6ee2254e45b3fdb2f43251c530706dcc148c288188a2b

Observation c3f8df18-d67a-43af-9018-c0c0569c9b75 · outbound

This paper cites The analogues of entropy and of Fisher’s information in free probability V.Inventiones Mathematicae, 132:189–227, 1998.

Information geometry for types in the large-$n$ limit of random matrices The analogues of entropy and of Fisher’s information in free probability V.Inventiones Mathematicae, 132:189–227, 1998

Reference 76

Resolution
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no resolver link, observed 2026-08-10T22:54:22.431969Z

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source=pdf_text observed=2026-08-10T22:54:22.431969Z digest=sha256:a8097da45afc691a471245c45504d87702f41cc4d693fe15f7b377bf2c16446e

Observation 5a0752d8-e44f-43f6-9ba8-48987642b800 · outbound

This paper cites An Introduction to Operator Algebras.

Information geometry for types in the large-$n$ limit of random matrices An Introduction to Operator Algebras

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.770024Z

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source=pdf_text observed=2026-08-10T22:54:22.437248Z digest=sha256:ca1a88d823d771661b0d571c8b7ab047f572998154a0445cdf2d341f31f68e21

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