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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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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=sha256:98170de44bce611a10e9214cd344c13f5d929513a7b3aad56049a9d9fc9b03e7

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:dfb9af679eff3ec7cdf984df5d54607a7b05ac61eaa528b90fef759a73405cac

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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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:f362c5baa1b6a9985b55af510e005c76e8fb2efc5071f5aa26c039b27213eb3f

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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raw_fallback, observed 2026-08-10T22:54:23.602687Z

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

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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=2026-08-10T22:54:22.146848Z digest=sha256:4d833de7ddc35abd68d1536f536709489cd47217214f810dfe713e58402dab28

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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source=pdf_text observed=2026-08-10T22:54:22.155850Z digest=sha256:ef51edcce46c0e012aae780709c2f2b56582aa367a16ca6f71d020a1e725b4e7

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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raw_fallback, observed 2026-08-10T22:54:23.527406Z

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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=sha256:27f7104d5c07e2321597f96df6148281a68da3c2660e7070dfea32588dd42641

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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raw_fallback, observed 2026-08-10T22:54:23.479786Z

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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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no resolver link, observed 2026-08-10T22:54:22.193704Z

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source=pdf_text observed=2026-08-10T22:54:22.193704Z digest=sha256:b7e717ef95e1012ffa169fdefa34116ac383b3facae4e2fa81b033360b1f7d82

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=sha256:7c50e3e20881cfd16934c513e189d7478969982e735d21d949259196965d3e9f

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

source=pdf_text observed=2026-08-10T22:54:22.203904Z digest=sha256:5be99c5b92ca92758565fc034f592c7c6cd57598707d712e6070caf7ebe11b26

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:f184f53076d0cccb5fad537506de04501dd2cc775cf659f4166ff38ff08011e3

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:cca1fee82ae7b19652cfef84da0ca1ba963adeba98abde4bc1187c05e87dd4a9

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

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

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=2026-08-10T22:54:22.217702Z digest=sha256:c30fcdc5c7e3329e594e8995ebcf76a4f32356fc917e412c77553959507b586d

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.

source=pdf_text observed=2026-08-10T22:54:22.221904Z digest=sha256:24e4ea4ff9ea1c15ef626ebe22cd8a6001074e78f974adcd2cc2ca5f3351c91d

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

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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=2026-08-10T22:54:22.225658Z digest=sha256:4efa30162f887b770a11b93e7b17e04d06926bb4c2d576706c2857adad47a5ec

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=sha256:39323fee00e3cab91ca04b5ae17b95bb4049e4391626e4bb8d1438f5d625c674

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=sha256:026c0d536741859b6eadfd23a5dfbae2278122ed126f049f1c24611a05db2dc7

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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source=pdf_text observed=2026-08-10T22:54:22.238822Z digest=sha256:be8ecc6a81a42a40b3153c160357fbc67e2601e50863e7b94c0964ff86e2fc97

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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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=sha256:3ec81bee47f137f8d21938e1848d1b520033c485cfb77134520916d252a2585f

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

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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=2026-08-10T22:54:22.248080Z digest=sha256:0b38c625512d6bc4404a3676295ebac06fceed57013c46812764e1087fc125e5

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
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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=sha256:01df1109ca4f4aad993dbe74256edd8232d071c10e0e17af63c7303b4c2013b9

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:d4447cbd881936ff4cd4a8d21f93c1060d4598f547b40e3358eb7cb15709836b

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=sha256:2ced5c2120eb5975607c914b7ae45768b6b3946357a9cbb4a85735dd3dd66d7c

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:eafb91ef3d55cd82f01da5016da0ce74bcefd62a3bd71b2c80e638a318402833

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

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source=pdf_text observed=2026-08-10T22:54:22.272466Z digest=sha256:f988f259038631354e42895be632b23716703eb8db9787e5a553485be366b577

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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source=pdf_text observed=2026-08-10T22:54:22.277792Z digest=sha256:02ce202f9e3112461edf110e6f5308d802acbf7325c8b39efa3abe64699c29a6

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

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

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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=2026-08-10T22:54:22.283273Z digest=sha256:6a4dc707b6715f47dc0b0cc37d97a90698a41f5cd78c7ef0cb2fd01e5d478b24

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=sha256:51abdb8b933dc58d91f37e903cf7e03ea7b6873a8cd2641255cb2dbbf485833d

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

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=2026-08-10T22:54:22.291462Z digest=sha256:405b9bf9b3dcbf3a5e271a22cc673c792c5073466af1cf671cb103b7ec334a2f

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.295446Z digest=sha256:3cb5c3f7b23fab019b17128f63a82ce646750c7cf503a83e6cc3f1f508391b50

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
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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=sha256:71c653f621aeb81884fe3ef817cac8e13305e4fe55bc7835dcb620b3fbae2a0f

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.304069Z digest=sha256:4127927a791e695bc1f1fc6a07ab20a4ce9a88c7683368696538596527e4728d

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=sha256:329b02bd9be943dd163a9d0d5c472973c189b041cbfbb9efd598ceef7265736b

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

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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=2026-08-10T22:54:22.314019Z digest=sha256:e2646b70e2c2ef87a78360e1cee160947f9fb3db968c5546f27ac7a6c277be5a

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:b369e2f49bb0d8d9de3220cf6ec414daf8557846b87f9a566a4d78533d71f8ba

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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no resolver link, observed 2026-08-10T22:54:22.323935Z

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source=pdf_text observed=2026-08-10T22:54:22.323935Z digest=sha256:a8f44bd7c65a9d028e60e0487688b54a22724fef39f978558a1a27db1a7648a8

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=sha256:49aa5601b722b0a8006d467f278f06bf6a5e9894631f16e00de98f7c8fa5de6c

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

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source=pdf_text observed=2026-08-10T22:54:22.332916Z digest=sha256:6d4332fa73f15499c71d7802781052f472371281bbf8626bd3d71864c99c64f0

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=sha256:3359498c41c607a6a86b48dcf2aff1191d99710099534c89e3787fc6c80d13ce

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=sha256:6aa53b6055083cafdcc5ce3639271c2ef155d4a53d599105e7bd1ca2193c75c2

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:cbfba31e45a775938d847d21dce74f220cf374e10495654a67533d1100ba628c

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=sha256:1bc726edad2eb7c11c56d509ff246c14ab4bb37bedca7eac56c89810c05e7fff

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

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source=pdf_text observed=2026-08-10T22:54:22.355557Z digest=sha256:1fa617592468012d386991a426fac3eca1b6823f58ba4a438f10da5da07ef566

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=sha256:11b0f59dcd5b70c459e32d428917192e5ffca03b64e3f2ea8a1490ef5daa4af7

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
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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:c5e0899be531fa2f72cd30a21cfb0a8a0e072b434be948496501643addb890ab

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:c0f58007bf1fae751bcde252ea479cde0433f14cdd495590fc8248f43554bc52

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=sha256:59c160389f4e071941911a06dee64ed9158dbb3ef2d17bbbe58dad6008e25977

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:bf13b6f6c7b37a1b79041d0f66bcbcc884c8b8a97551ee7ba6f469a42238a6ba

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=sha256:2ba16d2aa7b8ba4e61c40dc210ffaf7868560646dbdb6766b4b252005c782b91

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.388856Z digest=sha256:0155725335cb935e2811fd6e9e44c9ee6bfc1ac2862a6d7fcdaf8ae32806283a

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:eaf39534db67a4deaea9e028931ee4cc5593c122bc18989a4d0f964a33996f56

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=sha256:3a30adc4b333285a750160b049adbec38e452654a27dea4f7ab54162067c52ee

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.

source=pdf_text observed=2026-08-10T22:54:22.401880Z digest=sha256:b81ea33a9e6b981fb5b37d065b3497e4852f2457dbc2e8e20fa914223fd83fad

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:54:22.848059Z

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source=pdf_text observed=2026-08-10T22:54:22.406983Z digest=sha256:445d3976a6e97b26a703f0b5c14e5913a3178a5c661dde2e3ace1090bdc2de5e

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

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

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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=2026-08-10T22:54:22.411592Z digest=sha256:e6b2cce5da18cd3749d0dc120a63cf762121f671267617f6f1fe4dd2bb0efbdf

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=sha256:1831105c06d17f2a584d5999d56ae00bc38c3037caca89dd6a131c7c9de5033b

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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unresolved
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:aa83216bb5d18efe8f7e705d3e2cfd9c7faf3aa210efa0e5573cc96b4d576702

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.426944Z digest=sha256:212da822f6cdde0098d93cf277c57a37b05e0c978f267015d38ec4e2281521d2

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:54:22.431969Z digest=sha256:e0c0b99ca817c7ac9142bce2f040268f3ca5e765a0cb5ade6773f5539294597e

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

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=2026-08-10T22:54:22.437248Z digest=sha256:f6eb2c0ba2ed6b728115e2b54dd24bbfd8069a120344abaa1502191f18a3a222

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