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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:a4afa56c4a6335286839b74f2a23f21da6da91d1de8e848608d2fa81e5d516e2

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:dae1ed0724dab28d4dcc25b4d1d837af92c0f87e7b30555c978f7d6b49e34eef

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=sha256:24d0a05019f041b9b8fd91679736de653c29852c5c547f759c4325d3abf4b922

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:ae18b8dad9d3031cb63358c3c4349cba229b711099060cfa9133d8e690388f4d

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=sha256:9855e8c3110951d2b43435694e88ae3d7eafeb219f3efd02574c229411ba83d9

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=sha256:3450559a39753663bb76ef14b940fe2a69aee45e50e13034585d5cb606624910

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:ac5c6a4fd21a331bfe2c3ef2c9e7a0c5e88647ce85c95d0eff24c5f449e1ec4a

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=sha256:5e0b1383504ddeee3bc2d5139f133a1725b029845b03510e8ee48b1dacb0e3f3

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=sha256:948f6c041e5c19f8d08b5c5d5f2fb5bc5ef649c00ebff857457dc07c64e0e26a

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=sha256:05284d6c520158a408c19a03235423831af90ab9a65656693e71c7d5a74c7b16

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=sha256:6880f182660f052dd6d7636d2aaaace8e390c88672fcf5f4f3c8b3ea4c1a3877

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:f84ee101811f6b7d2ea8b0f9b52cf6cbd096508754ad657138ab168b8736010c

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:caa3f158691f5bf25cfbad2cd9b149fb35663b51ab7da638a705a17a604576fe

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=sha256:26783831039b1eeaf5a5ff8348ae543fa73bb6af57ae61d6636e7e2fe86e5c89

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:c52e3a3ebc8f791082c5cb0d8e5f93319886b990ea7735c2daf4f209f353d636

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:c8c10e04a6581455edc8d48f5d139dd50dec7beff18d018de703376c1ae50fce

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:ecd48ba47c0295a951189e9aaa8a8fc623bb9d4d6610a8e1addbe3c530adf730

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=sha256:47928270f915302b806b6e540df33988dcaf7e31f5740d1c9e8fc14900793548

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=sha256:1b3ccc92f4ea93f3226b0008c51b6cdea097723196b82c03f6057fd4f3ceb60d

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=sha256:4a7c610d46de5b3cf312bdb2428d124e5622c091243a0e0c9806c99a0f90e5aa

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=sha256:401e678f0b422007274fd61433123860807eb9fd36d6e54525b0c7c78e23b7b8

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:c41d93da184da1be4bb7dc50c68386d75e08159ec05660ce64ca6b36e5cba07e

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=sha256:603eb7a0b83922c83a4d1de41a73504cdc51745338135eab42b149e01d8979e9

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=sha256:1b6db88b8c447b6bdb4afad864ab12ab93bd7282cea23137d16d24181fede4a9

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=sha256:7b5d0bb25c75a4c95d69b6918bcffb39f9a6f7539fef8d174df859a30a8d36d5

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:fc72b0e9f1e1d3c274bbacc48117d00b9dee7f4125ecdafed9b8a2b956a4e25a

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=sha256:15092f2c4b05776ef7d9dfe1967bc3a0f1fb474fe103c42948c7df8625353a21

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:a94081e956d5d79f110619bf70240eedbe63f39087c331e549149a336c86bd3e

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=sha256:00694a25a53a3681e727d6baa798d99baf979cbaa954a3b993292f89334edef5