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Paper Citation Record · LEDGER

Mean dimension theory for infinite dimensional Bedford-McMullen sponges

As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2412.02278.

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

pith.paper-citation-record.v1
2412.02278 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:53:52.744171Z

measured 31 of 31 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 2026-08-03T13:18:25.857111Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

  • verified exact4
  • verified fuzzy21
  • unresolved4
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4ac1329c-6238-4f43-b06f-f404a4ceee39 · outbound

This paper cites Weighted topological pressure revisited.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Weighted topological pressure revisited

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:53:52.838218Z

Source-reported events for the cited work

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

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Observation 01ce673b-cd5a-41bc-a988-0269c2f5b9e3 · outbound

This paper cites Improved dimension theory of sofic self-affine fractals.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Improved dimension theory of sofic self-affine fractals

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:53:52.822574Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.636329Z digest=sha256:9db3b2e9d83a56c8c11e0aeeb6c10c42468cfacd612ae39e8131a0810467880e

Observation 0c73a8db-9fd7-4eb3-a00a-15b5978b6d6e · outbound

This paper cites Hausdorff dimension of the limit set s of some planar geometric constructions.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Hausdorff dimension of the limit set s of some planar geometric constructions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.125507Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.640409Z digest=sha256:5c34cf5552b4e4650773ce036c79aa6873838400ec67aeb4cfba4645b0bf52db

Observation e8768b66-18ed-47f9-a67a-1f2107f801b7 · outbound

This paper cites Crinkly curves, Markov partitions and box dimensions in self-si milar sets.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Crinkly curves, Markov partitions and box dimensions in self-si milar sets

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.113489Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.644312Z digest=sha256:27e0a7d647c1448ea9f3b050de742e598e7b6207a58d804733d008e6e398eceb

Observation e0bc72bb-64c5-4ad9-b9e3-6c147ed55b0a · outbound

This paper cites Topological entropy for noncompact sets.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Topological entropy for noncompact sets

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.093514Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.652057Z digest=sha256:009bc7c363cf1c309aefa77e44b127c637e52011d08fe451ab5dfaf3d6425a9f

Observation 4e6942de-8fd4-40cf-a1b4-ae0e100c9caa · outbound

This paper cites The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.080908Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.656088Z digest=sha256:854005f5133893e805db50df0470780a57d3d42fdbb0d32345b089d7ba6a77f4

Observation 5189b0b2-9ffb-4272-bbee-731b44d911d6 · outbound

This paper cites Falconer.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Falconer

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.068862Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.660015Z digest=sha256:8bd9d3c5f95c380a63a80fa0078bde7ded750407a0c21e1bfbf5f63dd482aebd

Observation f5878d24-fda3-4fd5-a140-6ec6c82301cc · outbound

This paper cites Variational principle for wei ghted topological pressure.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Variational principle for wei ghted topological pressure

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.056269Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.664494Z digest=sha256:44abe2ea5ec0173c7cb1c568ac08a2e22c36d731c49d9e91622be09fef60f5fb

Observation 3c1fec81-ee77-4526-b72d-f849c2f78a02 · outbound

This paper cites an unresolved cited work.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:53:53.044126Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.668215Z digest=sha256:707380af0a3ea3c9356252aca6dfd4d04c7307781226cf77ef739056134a580e

Observation 6622ef5c-9994-40d2-9241-9f9f9bd78f90 · outbound

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

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Topological invariants of dynamical sys tems and spaces of holomorphic maps

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T23:53:52.672014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:53:52.672014Z digest=sha256:61b68f843a81005f990fe679d4cf63b430d954e06b9d5770f62fa9a418145289

Observation 17da1f15-5f50-41eb-a3d3-657981682428 · outbound

This paper cites A variational principle for wei ghted topological pressure under Zd- actions.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges A variational principle for wei ghted topological pressure under Zd- actions

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.024522Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.675853Z digest=sha256:b19ecccdfa56d62db79312bcc5264bce51a4ec7bd581a32226b00768867e38ca

Observation 2f58b72e-53aa-4991-8b96-75ac22863759 · outbound

This paper cites The rate-distortion d imension of sets and measures.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges The rate-distortion d imension of sets and measures

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.012327Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.680030Z digest=sha256:5d52454adc470a751c8f927f526ca080c1f7bf8c904e0b8691b8db9e63e6f864

Observation f84c6c26-6692-4cb4-9344-f92bdbe8b1bc · outbound

This paper cites Kenyon and Yuval Peres.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Kenyon and Yuval Peres

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:53.001584Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.683926Z digest=sha256:ba708ca8e9433c0a7a0d42e7394d919e530632248185a31ce2ed001251708f87

Observation 4c9b5d4b-d595-44b4-9dfb-90652a252c7b · outbound

This paper cites Kenyon and Yuval Peres.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Kenyon and Yuval Peres

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.989978Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.687790Z digest=sha256:640cdb52fc0ad4b4e48660d1fdcb4256a004088e20e236ec698328e59375d053

Observation 7c08abba-a423-4613-8fd0-39c84fdd1d69 · outbound

This paper cites Lalley and Dimitrios Gatzouras.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Lalley and Dimitrios Gatzouras

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.979122Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.691576Z digest=sha256:aa2f9101254eae79749192ebcd74b9f362f71c39edde8fd0dd9931f5c634eebf

Observation d9de10cc-e86e-43db-8269-8db7caf86c5a · outbound

This paper cites A relativised v ariational principle for continuous transfor- mations.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges A relativised v ariational principle for continuous transfor- mations

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.968054Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.695368Z digest=sha256:7d71ebd0614b3ff5fae56202fad5e1ed38f9323c23fbcba39c91589b10a08f0c

Observation f32c9c71-0196-4cc0-a44d-eed8cc9954cd · outbound

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

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Mean dimension, small entropy fac tors and an embedding theorem

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.957084Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.699071Z digest=sha256:d9b7a85155bfa49c5c317643cad0acb84c80d284712fdad3818ca731d56e4523

Observation eb7ad6e5-d07c-4a6b-9be2-b45be89f77f2 · outbound

This paper cites From rate dis tortion theory to metric mean dimension: variational principle.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges From rate dis tortion theory to metric mean dimension: variational principle

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.946511Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.702804Z digest=sha256:5163e41cf2c95fbef9ad397a032e9be04e8f83ed31d6fd6a5e31361ef62040d1

Observation 728e5f19-8662-45f5-b6c5-b5758a6a0689 · outbound

This paper cites Double varia tional principle for mean dimension.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Double varia tional principle for mean dimension

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.934757Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.706556Z digest=sha256:0e5bef398c24958ec420118a6bec7e8acb7e365fcb7f30fe1126333f443f4d22

Observation 0bbf6bcb-547c-445a-97d6-b02cb8a7caf8 · outbound

This paper cites Mean topologic al dimension.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Mean topologic al dimension

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.923289Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.710632Z digest=sha256:5afd562cdd60769e6ac3ab921abb2295111b0b91b1d4a3e8ca6a5b7fa1823c4d

Observation 229acb7a-d508-4e40-adbc-18fb664ae9c5 · outbound

This paper cites an unresolved cited work.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:53:52.911666Z

Source-reported events for the cited work

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

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Observation 576b12a7-b1b4-4a39-9afb-a9983476b34d · outbound

This paper cites The Hausdorff dimension of general Sierp iński carpets.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges The Hausdorff dimension of general Sierp iński carpets

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.898926Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.718095Z digest=sha256:6fc6cd88ddea72d26036da678a39a526ba06daf8af72a1825464fe9960abe772

Observation a0595aa8-c947-4d26-84bc-35385ee0abd4 · outbound

This paper cites Robinson.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Robinson

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.887006Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.721960Z digest=sha256:41360b14013f8c5129fa04c020706513c93d1d83d48b4c2cbb515a23bd4bb3dd

Observation 22b2d0a5-c004-486b-9565-dd2e4cb439a6 · outbound

This paper cites Weighted entr opy of a flow on non-compact sets.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Weighted entr opy of a flow on non-compact sets

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.875285Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.725676Z digest=sha256:e5921fd1d66eb4cec71b74f8aad009686ba6cf3742a085382e360e99acae0bc1

Observation 995f50b0-2a90-4910-b48e-c8d065300830 · outbound

This paper cites Mean Hausdorff dimension of some infinite dimensional fractals.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Mean Hausdorff dimension of some infinite dimensional fractals

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:53:52.805899Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.729262Z digest=sha256:e6bd5e34889ee983e72e760c031e1136253f6b590a6bf3cbb26cd1b4d5c4f289

Observation afadf945-edce-49ac-af77-93271ff4b643 · outbound

This paper cites New approach to weighted topologica l entropy and pressure.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges New approach to weighted topologica l entropy and pressure

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.862303Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.733200Z digest=sha256:31e6e99ca4dcd4fbe5f11bb9841b7411c73d5feab0c11f9e28ecd4819881cfb5

Observation 704122bf-29bc-41ae-acf3-d98a94da1038 · outbound

This paper cites Rate distortion theory, metric mean dimension and measure theoretic entropy.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Rate distortion theory, metric mean dimension and measure theoretic entropy

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T23:53:52.736698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:53:52.736698Z digest=sha256:6b34c1375071f439ba44b686c4eaf21b77019244cfff2594e7e4b758bdf53de4

Observation b2370f1e-1e89-4069-8d0a-86ddc128e85f · outbound

This paper cites An introduction to ergodic theory , volume 79 of Graduate Texts in Mathematics.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges An introduction to ergodic theory , volume 79 of Graduate Texts in Mathematics

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:53:52.850272Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.740773Z digest=sha256:b635158d4a6b6e54d320b58bc8ff9c2a4f862f7cb200992897029891213abccf

Observation 190d7177-8d0b-4c58-b710-247b3b9864d2 · outbound

This paper cites Variational principles of relative weighted topological pressures.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Variational principles of relative weighted topological pressures

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:53:52.779652Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T23:53:52.744171Z digest=sha256:753207b544d8718b62a847b3143180bf245b0aae025789e92d91d4c94634f10b

Observation 54e3a7d9-324a-41b9-b2c2-e5a0afbfe835 · outbound

This paper cites an unresolved cited work.

Mean dimension theory for infinite dimensional Bedford-McMullen sponges Unresolved cited work

Reference 1984

Resolution
parse uncertain
no resolver link, observed 2026-08-11T23:53:52.648401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:53:52.648401Z digest=sha256:6cc50dfab2f00c6b9b0ec9fbf7933c0b24753f876567555b3b3f8d6f7850c881

Pith citing papers

Observation 864283ef-9292-42ab-ae05-732cd2d078f7 · inbound

Mean Assouad dimension and spectrum, with applications to infinite dimensional fractals cites this paper.

Mean Assouad dimension and spectrum, with applications to infinite dimensional fractals Mean dimension theory for infinite dimensional Bedford-McMullen sponges

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-03T13:18:25.857111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:18:25.857111Z digest=sha256:35d6597f7fd8428628b68ed31aefe61d749bef73f36346469543424c9d46d381