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Paper Citation Record · LEDGER

Mean dimension theory for infinite dimensional Bedford-McMullen sponges

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.636329Z digest=sha256:02afb248a33f7ec8e6a627c7d9862ddbba8948d5876de3c8e4b7bd2124d80b99

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.640409Z digest=sha256:ce7eb9109e9f368480c3a9c95afcf7ca293834a514b6b22c6c4a344a9f60a91a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.644312Z digest=sha256:81d42b1628f7aed0bdbd44f7c3472bf6d7d997a571c424dc0e2e9a1f55314b3b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.652057Z digest=sha256:c71452c36c9e5da41d853c4fdd7baf0b156d7d169005b3bf5c6e877ff18c7f1b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.656088Z digest=sha256:22395438d61ec562e15254bdbdeeb0360c3ebd859fc29ea95f2442d57f721007

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.664494Z digest=sha256:2df0fd71813afec72ef66318d269fa176d9621c10c20bc8c28fc811889f79a1d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.668215Z digest=sha256:47120a9252df75a9d0272845b7b0bd1ba53188ae2c4d9b52cb298b4eb11cab32

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=sha256:5d48172cc7fde49a1b62ff89ef69eb8a39aa1373639985d4b9e54ecbafb1c697

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.675853Z digest=sha256:feb68a3fc985c6df4026aac35ba6d6f89fc24bdf7090e1e809d1f9d061990903

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.680030Z digest=sha256:10950c9f8ab693c264a2f0692444a59b8f76bc10c121f4893f099926ebbf8dad

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.683926Z digest=sha256:82b15e345a9fea378437e6ef187e21d26d25156dbf9019f0a464045c2966a3c9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.687790Z digest=sha256:b5ef83b95654e20414670c38924bc8271cbc1b3ce4b501b2da7678256c21c97f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.691576Z digest=sha256:b8a0292c05f0e485c21488526c0fc964a33289569ca73bce0a25019f707a8e2f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.695368Z digest=sha256:3be8c804b4d116298fc9697f1ae921c3a4a893f81c8b8246dbd9a21169fbfece

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.699071Z digest=sha256:72ecd580c04a968c5a9cf3a9e191a62685c2c3f2776c9497c5f8a8c193e29848

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.702804Z digest=sha256:169fadfef75ad1dad631aee681a86a5a4efe75785ae9720689598d547166c09a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.706556Z digest=sha256:d8ff459ecb03b74d274b2f5bc328c6ba39116e753a307d55edaf4b2fbc857812

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.710632Z digest=sha256:4b8be6935447bf4d93f69431ca3c8466bcb7f84747115c6798d6c1a54ff6ca40

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.714434Z digest=sha256:66d9425d929b2a621957bf095caaff2d42714fa9fff6e15121bef36c1da3ec85

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.718095Z digest=sha256:370e211267d29c67bfdd53df3ccb99f5403d2e429275f4211fa16ef4d31dce92

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.721960Z digest=sha256:aa8d6a5ab1f9d88d62d47d366c47091dc34a2532283c0345308122f02fcd7e17

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.725676Z digest=sha256:a9f88065a9378449879c7a324a17c657f749076bfa7d594e377f22e9f5985771

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.729262Z digest=sha256:8204ba7f2754ce75fca424f039fd44da3878a44c8155aa727b00e2ba3a7a10c9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.733200Z digest=sha256:8c40cf883795d7f7804b4124cea4f80a2e5335fc6c3830cc41f951a99667ec78

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:afc1b164d69c3de6268ba6a9c8409e9a2eb66941ff20f393208578da63182349

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.740773Z digest=sha256:9adbed4ca74f3ae6fb4954c9c6f4fcdd29ce465cf58f7e0664d1769b28fdf2a9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T23:53:52.744171Z digest=sha256:82edc495286bc2cf1eb53188dc6bb6ffe6353f410c80cc725dbd885a152869bb

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=sha256:2bc3d86587cc47b9ab9df9ec97872e91c23dfbbf6c24246909b0443e5131a7f2

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:bd39cc609497c8cbee5b73114d274d2c4e2a5b0f7e14e75aa7d08df0acd4fef5