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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 13 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.682067Z digest=sha256:6b712d73a2bda4b269765b99edbdecf65227578fa39a60cd86c3d2f3f42d2c23

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.688235Z digest=sha256:e3160ed9efe8ccc3240fb4c914edd508a71d8b0231eeb8838e878ec50e6ab066

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.694130Z digest=sha256:76ae260d24f726bec9705d520927b44a3c08786e53c08c1d2ebc9d749fb10e68

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=sha256:2477e471f52847eafe32de9711d2abf0dd95e3d47f54ccbc1b3daf53111970df

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.706167Z digest=sha256:3970e47e8a698ec72d6f444b9afc222b6ad5edcd836c78e653456c6e01ae8f02

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.711843Z digest=sha256:1ab2d416e67958201fc4d7c00b6293f9b25d2180154f18ddc7181319a6c65527

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.717392Z digest=sha256:448da8109f57a0e400ed29e5583ec333b6ae2c9ab73676ca22097d3129969fb5

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.723813Z digest=sha256:2b99486211e72c3eb49655a3ad37d3af57e604e45880ad4efea1490e02dcea7d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.729657Z digest=sha256:995218643c9db1ce4c5d9bf8a1d1b9ed1f9e9b03897a76f43a82e51d509a6da9

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=sha256:1a7ba289691417d2b04be3a29d3cbb89da273a88ad11d9702e874041d2a52e40

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.741219Z digest=sha256:1eccd83720d99e17e85f21e974ec2b7cd11d026cb8b2c6ce45f736be0864c278

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.746325Z digest=sha256:752d88852ec7ae763f844fc2284417debd0a7120bda20aa1168251576f2911cb

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.752143Z digest=sha256:ab5875e28c294a07ef82306deb2d683f4a066a9fdcd8bf50260169e3b7ae80ee

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.757362Z digest=sha256:a9be33892cc2bce6604d5fed4c3b580c3cec9f3911390fafc926ab5b1628a01a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.763709Z digest=sha256:25532ea0245267e0ae1d48e0222f4c6c4fc38d3ea79e39d63126be14d77a4c59

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:c87c015cc211cc9691d01da0075cd88b5d3d1ffd2fd5b27ffb4be98848f58fbf

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.776329Z digest=sha256:cb60684521f7cb7f3b033816e3457e682810864f8b3dad8de087d6d1b2dc293b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.781791Z digest=sha256:6a9637bb012d803e327880796f69a8b1e46ba4dddf59e38371b6d9994f5af5e3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.787656Z digest=sha256:17fa3ddad14f595508f2fa2ff162aba19313ed1e75aaef14bdedf731abc5fc5d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.792447Z digest=sha256:f3d729d8205a197180797918eb008784b591285c42d707b192044f5f818b7512

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.798572Z digest=sha256:b9a7612e6b65d3006f8497f1aa22bcd5edc3d8cff62ab938737f61d31e485148

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.803789Z digest=sha256:2ebca6c239fff6017634b19bb62df3b83d9af669dcd2ebccaee586ee9c123d9b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.809516Z digest=sha256:72654a114c04cf3cf29d0d01838c8ccfac60c43d0f8014ae4bd06d9841ff157c

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.814242Z digest=sha256:9dbcbb25693a50e9dd90ce827f653320d0b682b3599fd8ceb8b750f4601cb648

Pith citing papers

No inbound Pith citation observations are available.