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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.682067Z digest=sha256:93cb50608235a1bd0e3578e01b867c24acb95416c3a2b1672a960200ccafc305

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.688235Z digest=sha256:0c11aeae21edd28ca7c9072ef213ed9f527188188a6eceb5d0de8d113a6197c4

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.694130Z digest=sha256:2dbab871e3e5b6f1e01453d7d173bf66429b0c365337809bbc416332f1edffd1

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.706167Z digest=sha256:55ec8b8317e37cebd07057baf17750c24d8eac233177565c20f008ecd1e60aad

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.711843Z digest=sha256:e1885fe95350203e371523956533df98c7170baea442c8b47615ba306d54e658

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.717392Z digest=sha256:25ded791c65363abb2a616a3653c7c043403cd1e4fbf3c6c0f9480478fce0e5f

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.723813Z digest=sha256:815a8e616dc0cf975e9800228f13bcc00ada25520b70e78b13e583d474cd7fe3

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.729657Z digest=sha256:f3384de81fce171f52a4a18993aa93c76e6a377be3c9d412c074d62c335132bb

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.741219Z digest=sha256:8ad9e2a30cc949f15482c47833bd0120038b9f06470227056599dbd38416d595

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.746325Z digest=sha256:4cd93e229a1c621b9d910907a8d87531289d7d7a8d51804e3d1f72d1d1af125c

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.752143Z digest=sha256:40d02a566d84f4037103295b95c5eb920e63898f58a85d63915046654decb1b3

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.757362Z digest=sha256:8ed3718243d36b8b609b8fdbfff6c72bbaa1e59eb2b3f748b0b71fdc00afbaa6

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.763709Z digest=sha256:8981c63abbe5a52e55dd68e73164249a6e3475cb3bd3431b86a47ec4f02e15da

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.776329Z digest=sha256:78b639a64a9627668057b7d1b98183b5ac3a3d6ba73dff1af809fade1b81c72b

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.781791Z digest=sha256:99c238d7366381d77800f28128044eb1bb01352b527e64df5fa547a08f0bde15

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.787656Z digest=sha256:f963268e81d961657ab8c5bb3c94bca25b8355dae1bf282bd37ab63632e750ee

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.792447Z digest=sha256:07a4415bf7f3b92720734cf3346f4dca9a417b3557791a1b591f15836a6b162a

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.798572Z digest=sha256:23c56dbb4401da2860c2fba406f45dd06a6e9f7516cd852db6ad9bfcdc10403f

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.803789Z digest=sha256:024049ff189f5d8014d9713145a503129598b0685466772e86521bdc5fac6b21

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.809516Z digest=sha256:5c8cd32b9d27d26958e90cce7a0b59dcc2b576b294764660dadfade95f0ecdd4

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T15:49:01.814242Z digest=sha256:db48d10e1f356c24b4b32929873db40ed213efecdb5f90936b0ed57702061d23

Pith citing papers

No inbound Pith citation observations are available.