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Paper Citation Record · LEDGER

Compact quantum metric spaces from free probability

As of 21 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2606.19578.

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measured 45 of 45 reference resolution

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Outbound references

Observation 29504779-0494-45d1-9247-d9ba6d9b44e8 · outbound

This paper cites Compact quantum metric spaces from free graph algebras.Int.

Compact quantum metric spaces from free probability Compact quantum metric spaces from free graph algebras.Int

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Observation 186e8b9d-0548-41e8-8d8e-0f9ebef3bbca · outbound

This paper cites The Podle´ s sphere as a spectral metric space.J.

Compact quantum metric spaces from free probability The Podle´ s sphere as a spectral metric space.J

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Observation 979c6e63-e75b-453b-a85d-07e07d4df078 · outbound

This paper cites Metrics on group C ˚-algebras and a non-commutative Arzel` a–Ascoli theorem.

Compact quantum metric spaces from free probability Metrics on group C ˚-algebras and a non-commutative Arzel` a–Ascoli theorem

Reference 3

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Observation c99e7e4b-1626-4d7d-b0fd-e81577887f06 · outbound

This paper cites Quantum metrics on crossed products with groups of polynomial growth.Trans.

Compact quantum metric spaces from free probability Quantum metrics on crossed products with groups of polynomial growth.Trans

Reference 4

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Observation bd7cce05-73b9-4bd3-a324-fce23bcaa88e · outbound

This paper cites Quantum metrics from length functions on quantum groups.J.

Compact quantum metric spaces from free probability Quantum metrics from length functions on quantum groups.J

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Observation dce82c06-d1f4-4d19-98f0-07d8e349ec9d · outbound

This paper cites Dynamical Systems on Spectral Metric Spaces.

Compact quantum metric spaces from free probability Dynamical Systems on Spectral Metric Spaces

Reference 6

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Observation cb87ca9c-1e77-41d9-b63b-09268f54d542 · outbound

This paper cites Compact quantum metric spaces from quantum groups of rapid decay.J.

Compact quantum metric spaces from free probability Compact quantum metric spaces from quantum groups of rapid decay.J

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Observation 92988074-9aa7-4779-a68d-ca90948db50a · outbound

This paper cites A free probability analogue of the Wasserstein metric on the trace-state space.

Compact quantum metric spaces from free probability A free probability analogue of the Wasserstein metric on the trace-state space

Reference 8

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Observation e771575e-668c-484b-971f-af63ffc25056 · outbound

This paper cites Ultracontractivity and strong Sobolev inequality forq-Ornstein–Uhlenbeck semigroup (´1ăqă1).

Compact quantum metric spaces from free probability Ultracontractivity and strong Sobolev inequality forq-Ornstein–Uhlenbeck semigroup (´1ăqă1)

Reference 9

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Observation f029b384-b6d8-475f-8349-1284d8733ec4 · outbound

This paper cites K¨ ummerer, and Roland Speicher.q-Gaussian processes: Non-commutative and classical aspects.Com- mun.

Compact quantum metric spaces from free probability K¨ ummerer, and Roland Speicher.q-Gaussian processes: Non-commutative and classical aspects.Com- mun

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Observation 62962b0a-0443-471e-9143-9c221c7b51f9 · outbound

This paper cites An example of a generalized Brownian motion.Commun.

Compact quantum metric spaces from free probability An example of a generalized Brownian motion.Commun

Reference 11

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Observation 616152a2-6d0e-419e-aded-9835dfecc970 · outbound

This paper cites Interpolations between bosonic and fermionic relations given by generalized Brownian motions.Math Z, 222:135–160, 1996.

Compact quantum metric spaces from free probability Interpolations between bosonic and fermionic relations given by generalized Brownian motions.Math Z, 222:135–160, 1996

Reference 12

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Observation b73bad4e-9228-486b-a060-11999f78756c · outbound

This paper cites Carlen and Jan Maas.

Compact quantum metric spaces from free probability Carlen and Jan Maas

Reference 13

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Observation a20e6bfc-fada-4ba3-87ee-7f1720aea77a · outbound

This paper cites Carlen and Jan Maas.

Compact quantum metric spaces from free probability Carlen and Jan Maas

Reference 14

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Compact quantum metric spaces from free probability Unresolved cited work

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Observation 0fa161cb-6c0c-4917-9115-87760e3d4842 · outbound

This paper cites Compact metric spaces, Fredholm modules, and hyperfiniteness.Ergodic Theory Dynam.

Compact quantum metric spaces from free probability Compact metric spaces, Fredholm modules, and hyperfiniteness.Ergodic Theory Dynam

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Observation f28007e5-7205-4c00-8927-608749dd2de7 · outbound

This paper cites Academic Press, Inc., San Diego, CA, 1994.

Compact quantum metric spaces from free probability Academic Press, Inc., San Diego, CA, 1994

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Observation 2c3911fd-c3f0-4f25-9741-7422c1ea1cf9 · outbound

This paper cites A free stochastic partial differential equation.Ann.

Compact quantum metric spaces from free probability A free stochastic partial differential equation.Ann

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Observation bc5e647d-6336-4498-885f-9a35f8aebaa2 · outbound

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

Compact quantum metric spaces from free probability Free transport for convex potentials.New Zealand Journal of Mathematics, 52:259–359, 2021

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Observation 04c34af6-3b64-4383-9981-59c01a099fd3 · outbound

This paper cites Larsen, and Judith A.

Compact quantum metric spaces from free probability Larsen, and Judith A

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Observation fbbd3379-862b-4b9d-abbc-5e53152ad2c6 · outbound

This paper cites Duality for optimal couplings in free probability.

Compact quantum metric spaces from free probability Duality for optimal couplings in free probability

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Observation 192b5d31-7bde-40d7-a1ea-5c1e6fe5a64c · outbound

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

Compact quantum metric spaces from free probability Combinatorial aspects of random matrix models.Latin American Journal of Probability and Statistics (ALEA), 1:241–279, 2006

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Observation 92222736-773b-4b87-97d2-d91bf052e054 · outbound

This paper cites Free diffusions and matrix models with strictly convex interaction.Geometric and Functional Analysis, 18(6):1875–1916, 03 2009.

Compact quantum metric spaces from free probability Free diffusions and matrix models with strictly convex interaction.Geometric and Functional Analysis, 18(6):1875–1916, 03 2009

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Observation 7e9bd185-1b87-4173-ba4d-a821b36010e5 · outbound

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Compact quantum metric spaces from free probability Free monotone transport.Inventiones Mathematicae, 197(3):613–661, 09 2014

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Observation 5441a85d-b6d3-480c-b8b2-ac1d09925a71 · outbound

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Compact quantum metric spaces from free probability On spectral triples on crossed products arising from equicontinuous actions.Math

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Observation 8c7caab6-1fd4-496c-a5b0-f9845d999ee9 · outbound

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Compact quantum metric spaces from free probability Spectral metric spaces on extensions of C ˚-algebras.Commun

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Observation 737d5ada-2998-422f-bf2f-70c0dcc03e5d · outbound

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Compact quantum metric spaces from free probability An elementary approach to free entropy theory for convex potentials.Anal

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Observation bfec31e3-aac1-4580-8cbd-8e7b9b42d45c · outbound

This paper cites Conditional expectation, entropy, and transport for convex Gibbs laws in free probability.International Mathematics Research Notices, (6):4514–4619, 2022.

Compact quantum metric spaces from free probability Conditional expectation, entropy, and transport for convex Gibbs laws in free probability.International Mathematics Research Notices, (6):4514–4619, 2022

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Observation 4d498da9-3c8b-41fa-b89e-d30fae508c81 · outbound

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Compact quantum metric spaces from free probability Tracial smooth functions of non-commuting variables and the free Wasserstein manifold.Dissertationes Mathematicae, 580:1–150, 2022

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Observation f87ef501-b453-4cfb-8bfd-65b4d1969b46 · outbound

This paper cites Spectral metrics on quantum projective spaces.J.

Compact quantum metric spaces from free probability Spectral metrics on quantum projective spaces.J

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Observation af01cb0e-79b4-40e9-9f0b-1be397037727 · outbound

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Compact quantum metric spaces from free probability Kesseb¨ ohmer and T

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Observation d3ae341a-3ac1-4597-8e84-4966f4ee9dcb · outbound

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Compact quantum metric spaces from free probability Crossed products as compact quantum metric spaces.Canad

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Observation 62a957a3-59b7-4cf4-b26b-1a4653749e34 · outbound

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Compact quantum metric spaces from free probability Dyson–Schwinger equations: classical and quantum.Probability and Mathematical Statistics, 33(2):275–285, 2013

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Observation 06aa9d5b-e36a-4633-b4f8-94499533f726 · outbound

This paper cites Mingo and Roland Speicher.Free probability and random matrices, volume 35 ofFields Institute Monographs.

Compact quantum metric spaces from free probability Mingo and Roland Speicher.Free probability and random matrices, volume 35 ofFields Institute Monographs

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Observation 1b718a1a-2463-4bde-8be2-cffaebd67a4e · outbound

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Compact quantum metric spaces from free probability A dual and conjugate system forq-Gaussians for allq.Advances in Mathematics, 413:108834, 2023

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Compact quantum metric spaces from free probability Unresolved cited work

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Observation fd180c28-7db6-49a2-bcce-5ced50c5d102 · outbound

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Compact quantum metric spaces from free probability Unresolved cited work

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Observation be743ba3-6704-4798-979c-a9dddfa74e2f · outbound

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Compact quantum metric spaces from free probability A Haagerup inequality through the use of orthogonal polynomials

Reference 39

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verified exact
arxiv_id, observed 2026-07-04T03:39:29.135843Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7acc2a9a-e435-4005-b30c-2be70c63c975 · outbound

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Compact quantum metric spaces from free probability Unresolved cited work

Reference 40

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no resolver link, observed 2026-06-26T17:55:43.668372Z

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Observation c0ae405c-3955-48fe-a520-535795f3b119 · outbound

This paper cites an unresolved cited work.

Compact quantum metric spaces from free probability Unresolved cited work

Reference 41

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unresolved
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Unavailable: canonical work link unavailable.

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Observation 1648f40a-9b77-4720-a57c-1f66fe790b92 · outbound

This paper cites an unresolved cited work.

Compact quantum metric spaces from free probability Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-06-26T17:55:43.668372Z

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Unavailable: canonical work link unavailable.

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Observation 63fb4b07-9624-4f04-b068-f1a5249a67ab · outbound

This paper cites an unresolved cited work.

Compact quantum metric spaces from free probability Unresolved cited work

Reference 43

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Unavailable: canonical work link unavailable.

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Observation 4dcb90c7-49f3-4958-bbf3-e2e0c1620164 · outbound

This paper cites Remarks on free entropy dimension.

Compact quantum metric spaces from free probability Remarks on free entropy dimension

Reference 44

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unresolved
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Unavailable: canonical work link unavailable.

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Observation b66e1150-28c5-49ad-8305-6bbea7cddd43 · outbound

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

Compact quantum metric spaces from free probability The analogues of entropy and of Fisher’s information in free probability V.Inventiones Mathemat- icae, 132:189–227, 1998

Reference 45

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no resolver link, observed 2026-06-26T17:55:43.668372Z

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Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.