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Paper Citation Record · LEDGER

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2501.13729.

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

pith.paper-citation-record.v1
2501.13729 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:49:01.814242Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy19
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a5ca09b4-5cd3-4def-a9a4-05d9cc3f2c20 · outbound

This paper cites Austin, A new dynamical proof of the Shmerkin-Wu theorem, J.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Austin, A new dynamical proof of the Shmerkin-Wu theorem, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.370801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.682067Z digest=sha256:9bdb6710599d4e9215365708ef3c8db35966b3bf9c7e9c77d9f4cc9e5988ae1a

Observation dc3810b3-ec72-4b6e-bb60-19c113ce78b9 · outbound

This paper cites Avila, J.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Avila, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.353722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.688235Z digest=sha256:c4fa57b3ea84caba59c2478aaa5238b62d0236f2a24b1edc0107a5b7f2f58dd0

Observation 6de157a6-7be8-4c4f-ae71-5729822f060f · outbound

This paper cites Bourgain, The discretized sum-product and projection theorems, J.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Bourgain, The discretized sum-product and projection theorems, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.336027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.694130Z digest=sha256:4a9d621b83fc963a686a2cdd46071b990beb2427915f6e9ee14b6e75fc1c595e

Observation 1a1568e5-cf7f-4691-b10c-7e0396a37cde · outbound

This paper cites Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\mathbb{R}^d$.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\mathbb{R}^d$

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T15:49:01.699945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T15:49:01.699945Z digest=sha256:de0f62adb98c06a18f71c57c576be80c882106ba66e83560b4bd921398d3510c

Observation f1454733-81ea-4fab-875f-5391137fdc5d · outbound

This paper cites Fan, K.-S.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Fan, K.-S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.312541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.706167Z digest=sha256:2c6a43407493c1bce9fecff7a9e9a7743d48f1564a3645b9b2bad88a6fa2d542

Observation 724606aa-650b-416c-99d6-30018a33eeb6 · outbound

This paper cites Feng, Gibbs properties of self-conformal measures and the multifractal formalism, Ergodic Theory Dynam.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Feng, Gibbs properties of self-conformal measures and the multifractal formalism, Ergodic Theory Dynam

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.284367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.711843Z digest=sha256:6686c68a2e24a59d8999e0ab486a12b21a418d7f6486efff1385de3a034221f1

Observation 89e6792f-4cc9-4fe0-9ff2-cb95ab05a057 · outbound

This paper cites Testbeam analysis of biasing structures for irradiated hybrid pixel detectors.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Testbeam analysis of biasing structures for irradiated hybrid pixel detectors

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:49:01.911814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.717392Z digest=sha256:a96f9b6d0505d36e5f2935b4aab22021dd4e24feb5b3444c5759f907e44364ef

Observation dd4c27f8-4863-423e-9fb9-fad9e09c4668 · outbound

This paper cites an unresolved cited work.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:49:02.261349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.723813Z digest=sha256:c81349b234330770312e001487727da252d6f87a953d3a1397892e0d6fc82b44

Observation 37ec3953-d1b5-439d-8a42-64a53d4768d6 · outbound

This paper cites Hochman, On self-similar sets with overlaps and inverse theorems for entropy, Ann.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Hochman, On self-similar sets with overlaps and inverse theorems for entropy, Ann

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.239542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.729657Z digest=sha256:3adfcabda92b2389329b5d261022c5a16f1151c9c0a8cc626cdbeec900c1ed44

Observation ebf679f0-ab08-44da-9239-1a754ca3844f · outbound

This paper cites On self-similar sets with overlaps and inverse theorems for entropy in $\mathbb{R}^d$.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems On self-similar sets with overlaps and inverse theorems for entropy in $\mathbb{R}^d$

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T15:49:01.735049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T15:49:01.735049Z digest=sha256:9dfb8962cd159fae5ff88f3ba2ff011ae9b4a7d14ef4e7058dcb5d5ee1734ee7

Observation d2c31c45-e9d9-4ed7-ad97-525a11cd0d5c · outbound

This paper cites Hochman, B.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Hochman, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.214154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.741219Z digest=sha256:1974cb8a74c454ece7f936466d6cf2ce72e3b5f39b018a2dffaf64cab56be64f

Observation 75643f47-d4af-4570-a683-bf8626a1e579 · outbound

This paper cites Lau, S.-M.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Lau, S.-M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.193140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.746325Z digest=sha256:a924064c2199ff64c8cbd123c913226bf8cabc2d92412388ba5358a11fc7d49e

Observation f177f032-e96b-4dd6-ad6d-c5b985c4bca5 · outbound

This paper cites Patzschke, Self-conformal multifractal measures, Adv.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Patzschke, Self-conformal multifractal measures, Adv

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.170546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.752143Z digest=sha256:fa7c01ee841af12b3f7904027a85fbac3099dc837e4f70c8a04ecdfe9811431c

Observation 5466b02d-13d1-4fb8-ac78-3d5d1463de25 · outbound

This paper cites Peres, B.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Peres, B

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.151837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.757362Z digest=sha256:327d39c5f5d772171ac81643893632129094eddb1f559ee790237747d7ba7a6c

Observation c484fa70-7e4e-4de3-86c2-9c43592bee43 · outbound

This paper cites Rapaport, Proof of the exact overlaps conjecture for systems with algebraic contractions, Ann.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Rapaport, Proof of the exact overlaps conjecture for systems with algebraic contractions, Ann

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.129415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.763709Z digest=sha256:fe3fc022ad80d245bcd13b5905a92ebec2bc7d35fd5f768fc5bfdd37195fda5b

Observation e6f6887b-6356-4e4d-8738-61337505c2b3 · outbound

This paper cites Dimension of self-conformal measures associated to an exponentially separated analytic IFS on $\mathbb{R}$.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Dimension of self-conformal measures associated to an exponentially separated analytic IFS on $\mathbb{R}$

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T15:49:01.769096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T15:49:01.769096Z digest=sha256:c926af23833014c9c5561488b3b0b0e63c88592a8e9dbcb97ab8855b205c0a30

Observation ad164e60-ac70-4cc4-a76c-39cf4bb85bcd · outbound

This paper cites Rapaport, P.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Rapaport, P

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.105845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.776329Z digest=sha256:731d867875a78f98228451d067fbfadddf60d1830ee5d9df6204d7bb9dc5e9e5

Observation 9cb21dc1-079d-4462-a8c1-0ac5bd97aec6 · outbound

This paper cites Shmerkin, On Furstenberg's intersection conjecture, self-similar measures, and the L^q norms of convolutions, Ann.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Shmerkin, On Furstenberg's intersection conjecture, self-similar measures, and the L^q norms of convolutions, Ann

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.081837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.781791Z digest=sha256:3d18dec95135cfb03e326c4faa4e453b9ff0eacf3448195349840f4accbc28e3

Observation a507b15d-bc2d-4add-96da-f03ed49d0274 · outbound

This paper cites Ruelle, Thermodynamic formalism.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Ruelle, Thermodynamic formalism

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.058278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.787656Z digest=sha256:cafe52cf2a35fa9d453dd7aa35ff2c96fd4f1c7ac7b5bc2e2d21cee5f3524a0f

Observation f65a4bbf-82db-41ef-9072-36fbeb2602e0 · outbound

This paper cites Shmerkin, B.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Shmerkin, B

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.037458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.792447Z digest=sha256:8789162e86e4e3b64749ff05307717435a4f924e4336496d2a71472eba47457b

Observation 3909f25a-af69-4365-ba32-ead20e0eee6d · outbound

This paper cites Solomyak, On nonlinear iterated function systems with overlaps, J.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Solomyak, On nonlinear iterated function systems with overlaps, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:02.016752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.798572Z digest=sha256:672521c5e629acf85a18b39c04362a7f75c7396f9852bfd4ad2743374a129b7d

Observation 9addc79a-b058-4dfd-8948-2210bda37cfa · outbound

This paper cites Solomyak, Y.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Solomyak, Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:01.998391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.803789Z digest=sha256:7d41e7a7677b6b9a7312f5809988075678af9aea444a252d5238543ad4a4984b

Observation dcdac35b-1b76-4580-b8e8-1cd77f3f8e94 · outbound

This paper cites Varjú, On the dimension of Bernoulli convolutions for all transcendental parameters, Ann.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Varjú, On the dimension of Bernoulli convolutions for all transcendental parameters, Ann

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:01.977804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.809516Z digest=sha256:4e9961ba21c163934763c2ca44a3562ad1ce7613f53503492ba48e6056d92b94

Observation 64306127-4efe-4bfe-8202-73fdb24f14ae · outbound

This paper cites Wu, A proof of Furstenberg's conjecture on the intersections of p - and q -invariant sets, Ann.

On the $L^q$ dimension of stationary measures for M\"{o}bius iterated function systems Wu, A proof of Furstenberg's conjecture on the intersections of p - and q -invariant sets, Ann

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:49:01.955435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.814242Z digest=sha256:989cb0ca4cfd15d11f7d906dc82cc3199835e5ab801ac453446768f3e65b7176

Pith citing papers

No inbound Pith citation observations are available.