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Paper Citation Record · LEDGER

Metric mean dimension of amenable group actions: localization and non-uniformity

As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2606.13270.

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

pith.paper-citation-record.v1
2606.13270 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:39:18.225910Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T09:04:17.979029Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T09:04:32.520210Z

Reference resolution

27 of 27 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45abcac8-bda4-46b8-8a3c-5bd622ab9d79 · outbound

This paper cites Entropy-expansive maps.

Metric mean dimension of amenable group actions: localization and non-uniformity Entropy-expansive maps

Reference 1

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:67ca40da91528d6f7a297c0a641230c71a79856879d506c14e536fcbdcddac8e

Observation 3668b892-9bdc-4249-95f9-dacba2e5e8e9 · outbound

This paper cites Zero-dimensional and symbolic extensions of topological flows.

Metric mean dimension of amenable group actions: localization and non-uniformity Zero-dimensional and symbolic extensions of topological flows

Reference 2

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:5671b73042ffe668ec87fed4546ce812c9411fccabe77b5f8c6b1c042bb616d2

Observation 58e5e0db-12ac-483f-bb01-9f741eafc023 · outbound

This paper cites Variational principles for amenable metric mean dimensions.

Metric mean dimension of amenable group actions: localization and non-uniformity Variational principles for amenable metric mean dimensions

Reference 3

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:e1132479c670e83c965f23396858bf046512b688c74b28f67b6ef572a3c9f8d6

Observation b0128e22-a858-4dfc-a4dc-0077e1740fa1 · outbound

This paper cites Minimal subshifts of arbitrary mean topological dimension.

Metric mean dimension of amenable group actions: localization and non-uniformity Minimal subshifts of arbitrary mean topological dimension

Reference 4

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:3416e46d5dbc590fd4eebe67dbe7f2e1fe9c800ad7d514cae634fb6e2d4eb3f6

Observation 1ecf6e9f-de54-4a94-bd4b-e7536b9d1741 · outbound

This paper cites New characterizations of topological conditional entropy for actions of amenable groups.

Metric mean dimension of amenable group actions: localization and non-uniformity New characterizations of topological conditional entropy for actions of amenable groups

Reference 5

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:da662ac479123dcb838fc8f789f17aaeb911ebe5e59292795e48d0ab8069f06c

Observation ceb80ea5-8a3b-4bf3-a003-4b590b849214 · outbound

This paper cites Packing topological entropy for amenable group actions.

Metric mean dimension of amenable group actions: localization and non-uniformity Packing topological entropy for amenable group actions

Reference 6

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:6a0d73d19cd0937d052dfcfeb85a1f7ccfbcafa9a2a3d20f07093ddf5c3cbb0d

Observation c1fd61f0-9376-43b0-9c72-817934658ebb · outbound

This paper cites Mean dimension of Z ^k -actions.

Metric mean dimension of amenable group actions: localization and non-uniformity Mean dimension of Z ^k -actions

Reference 7

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:98f1ee8ca5419bbe776b73e8624db693ef12bef9ede86513388e51f3b7989a34

Observation 44ba90f4-8747-4d2b-b83a-acdd539d38a1 · outbound

This paper cites Application of signal analysis to the embedding problem of Z^k -actions.

Metric mean dimension of amenable group actions: localization and non-uniformity Application of signal analysis to the embedding problem of Z^k -actions

Reference 8

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:fdb79b0ab5f5b50c299f826686d8dee02e4347d1284b689b207840c8bf97c25c

Observation ad59c7ae-90c8-4bb4-bf62-4c73aedd45d6 · outbound

This paper cites Topological invariants of dynamical systems and spaces of holomorphic maps.

Metric mean dimension of amenable group actions: localization and non-uniformity Topological invariants of dynamical systems and spaces of holomorphic maps

Reference 9

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:7798e561799a983e185a6e3a90c1cd952cad9545f10ef01355c7d92a9645eabf

Observation c5fdad17-93b4-47aa-834b-ddc8268d1659 · outbound

This paper cites Embedding minimal dynamical systems into H ilbert cubes.

Metric mean dimension of amenable group actions: localization and non-uniformity Embedding minimal dynamical systems into H ilbert cubes

Reference 10

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:b18624f41c6a95522f4f8986b1747c922f29a4435be5121b79c26c0550767100

Observation 8acf0d98-01de-4372-995b-6f50e4cf8e6b · outbound

This paper cites Embedding Z^k -actions in cubical shifts and Z^k -symbolic extensions.

Metric mean dimension of amenable group actions: localization and non-uniformity Embedding Z^k -actions in cubical shifts and Z^k -symbolic extensions

Reference 11

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:a113e55680851f0ceb84b247892f048ef943cf0553ce9dde9338a42c0c2ac92a

Observation aac1843d-dd4a-4b2b-a463-d6eace02e6e3 · outbound

This paper cites Metric mean dimension for algebraic actions of sofic groups.

Metric mean dimension of amenable group actions: localization and non-uniformity Metric mean dimension for algebraic actions of sofic groups

Reference 12

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:a08eaaa376af49fb8794e57e31bfce11452b1359d5da72952baa8d430d9e4132

Observation 53a2271f-5b42-4da2-bd9e-0a2c1944bd5e · outbound

This paper cites Sofic mean dimension.

Metric mean dimension of amenable group actions: localization and non-uniformity Sofic mean dimension

Reference 13

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:b2f8d2d1acb4b8ace0700b0008b23ace5d7179d94e2a8ef7da267adfa22b1878

Observation 75497be8-c52e-42b3-90e8-2379dc4e632a · outbound

This paper cites Amenable upper mean dimensions.

Metric mean dimension of amenable group actions: localization and non-uniformity Amenable upper mean dimensions

Reference 14

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:207c11fc60ccd94667e245655ad41c88b10d8d449ba3711ba602e56112968a71

Observation e7abaaec-372c-4476-ac24-0b5f698f09ad · outbound

This paper cites Mean dimension, small entropy factors and an embedding theorem.

Metric mean dimension of amenable group actions: localization and non-uniformity Mean dimension, small entropy factors and an embedding theorem

Reference 15

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:9675d78fb1e4194b24e48b2e56ccb7367d52c66d42ab962f672892108d05c12a

Observation 513eb7f3-bf72-443a-b6f3-234734a7bca0 · outbound

This paper cites Pointwise theorems for amenable groups.

Metric mean dimension of amenable group actions: localization and non-uniformity Pointwise theorems for amenable groups

Reference 16

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:51ff01ee83141eeab7d6a713852689bb82eb535eaa1b08bd68d517515d79d39f

Observation 56861f4b-1786-4934-87b0-17b4d7b038bf · outbound

This paper cites Mean dimension, mean rank, and von N eumann-- L \"uck rank.

Metric mean dimension of amenable group actions: localization and non-uniformity Mean dimension, mean rank, and von N eumann-- L \"uck rank

Reference 17

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:2d1228f33497db5ed3c98b1f3d822a700b6e48a467a9a4266574b40c9a463878

Observation 32a8e1b6-76a7-4e42-8770-f7e15c065315 · outbound

This paper cites Mean topological dimension.

Metric mean dimension of amenable group actions: localization and non-uniformity Mean topological dimension

Reference 18

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:b9479f9a12ced4c5611ca08030a3f47cebc909d5894b129c9e6b915e0cba935d

Observation 91a2ae6e-21c7-4ab7-bc75-47ba1bc64f24 · outbound

This paper cites Brody curves and mean dimension.

Metric mean dimension of amenable group actions: localization and non-uniformity Brody curves and mean dimension

Reference 19

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:976cc8bf7a30153ebe0177f61c2edcc70aca01f7a4e525fda3ef20745f236a76

Observation 08fb2529-27a7-47c9-bd14-e5c1211f4167 · outbound

This paper cites Radius of comparison and mean topological dimension: Z^d -actions.

Metric mean dimension of amenable group actions: localization and non-uniformity Radius of comparison and mean topological dimension: Z^d -actions

Reference 20

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:069d9191d649a6ebd4b35965f7311c6fcbe83ff95afc59cd8e494a30de1ba4db

Observation 3ef720db-f58d-4fd6-ae17-c70c28d0251d · outbound

This paper cites Ornstein and Benjamin Weiss.

Metric mean dimension of amenable group actions: localization and non-uniformity Ornstein and Benjamin Weiss

Reference 21

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:d3ea56bd3e1789a4cd220606d3433122c7dcdebbd7cdcc88b28ed7422c3aa1f0

Observation 28e09441-8d50-47ce-83ff-56867a4d9503 · outbound

This paper cites Mean dimension of the dynamical system of B rody curves.

Metric mean dimension of amenable group actions: localization and non-uniformity Mean dimension of the dynamical system of B rody curves

Reference 22

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:d210b0f87c3a8aa59ace683f75b9dfe945c8f412de2db71d259ddef8ded63ace

Observation 0bf95c99-925f-4034-a66a-0b20c6846f2f · outbound

This paper cites Remark on the local nature of metric mean dimension.

Metric mean dimension of amenable group actions: localization and non-uniformity Remark on the local nature of metric mean dimension

Reference 23

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:e545ab8f49fc6c520f63652a6a47a35af35745d1d9d8f06f7f8b5c546a3d7505

Observation 0f23a07b-cfe8-4e7e-9804-341d6497fc79 · outbound

This paper cites Bowen's equations for upper metric mean dimension with potential.

Metric mean dimension of amenable group actions: localization and non-uniformity Bowen's equations for upper metric mean dimension with potential

Reference 24

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:8c7770d86dc0f986fa7a3a602bce6e9e8623bc3eea34a0f521db0d0d4cbeacdd

Observation 8e37b537-3620-4ba5-a4d9-79e252486a9f · outbound

This paper cites Upper metric mean dimensions with potential of $\epsilon$-stable sets.

Metric mean dimension of amenable group actions: localization and non-uniformity Upper metric mean dimensions with potential of $\epsilon$-stable sets

Reference 25

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arxiv_id, observed 2026-07-03T16:28:39.096538Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:077a4b5d5ac01cdc580f82a0857d530d5206b69fcd5099fb671ca6fd752a119c

Observation bcb3c77f-a815-478f-813e-d94af2d8c6e8 · outbound

This paper cites Entropy points and applications.

Metric mean dimension of amenable group actions: localization and non-uniformity Entropy points and applications

Reference 26

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:d41d04090358aa838f8938497c444c292976ba03173c2dd989fcd884931f5fbf

Observation cec0e36c-11e4-4194-9cf5-7201a2f66527 · outbound

This paper cites Bowen entropy for actions of amenable groups.

Metric mean dimension of amenable group actions: localization and non-uniformity Bowen entropy for actions of amenable groups

Reference 27

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source=arxiv_source observed=2026-06-27T05:39:18.225910Z digest=sha256:efde23ce89dc92797010a0f6b9576f0da31dbe75eb15a15533fcff2118b66683

Pith citing papers

Observation df4703b8-b77f-41ec-96a9-5652793dd5b6 · inbound

Dimensional entropy of amenable group actions over stable sets and fibres cites this paper.

Dimensional entropy of amenable group actions over stable sets and fibres Metric mean dimension of amenable group actions: localization and non-uniformity

Reference 18

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local_arxiv, observed 2026-06-30T09:04:32.521610Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-06-30T09:04:17.979029Z digest=sha256:97b0ab157272670f5eff9de00f4844eb2235e74971eb34ffda003e20bc61ddbf