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Paper Citation Record · LEDGER

On the Fourier transform of random Bernoulli convolutions

As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.21605.

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

pith.paper-citation-record.v1
2507.21605 v3

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:52:30.238964Z

measured 34 of 34 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

34 of 34 outbound references displayed

  • verified exact4
  • verified fuzzy25
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 059aab97-d5d4-49e2-92db-5936599da3e9 · outbound

This paper cites V an der C orput and metric theorems for geometric progressions for self-similar measures.

On the Fourier transform of random Bernoulli convolutions V an der C orput and metric theorems for geometric progressions for self-similar measures

Reference 1

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.100707Z digest=sha256:5684195aeda34295030c85ddf352d0d340096fa17187146fe256c4752c22ea53

Observation 9b61cf68-4044-40ec-babb-6966a14d7f42 · outbound

This paper cites Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures.

On the Fourier transform of random Bernoulli convolutions Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T12:52:30.105496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T12:52:30.105496Z digest=sha256:91d8154f3fd7a59853a5cf35bb94f4459ccf8b1b4fa05425ce7983324a00030d

Observation 8ef6b8db-8a0d-4e60-9bae-756c1d1db25c · outbound

This paper cites P olynomial F ourier decay for fractal measures and their pushforwards.

On the Fourier transform of random Bernoulli convolutions P olynomial F ourier decay for fractal measures and their pushforwards

Reference 3

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.110242Z digest=sha256:73916b8ef164a758459f1b0ff011425de1281c9ce07bf4d5ca83578ff259b799

Observation aa002e98-01c1-4913-8647-1484c1fe6c45 · outbound

This paper cites Self-affine sponges with random contractions.

On the Fourier transform of random Bernoulli convolutions Self-affine sponges with random contractions

Reference 4

Resolution
verified exact
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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=2026-08-06T12:52:30.115004Z digest=sha256:cee999770b12f41a8c6167007a32cca92a0eb9ecdd2b0ab9cbe3456894bb5425

Observation 62115319-6b63-4336-ab8d-683e78666a0a · outbound

This paper cites Fourier Decay from $L^2$-Flattening.

On the Fourier transform of random Bernoulli convolutions Fourier Decay from $L^2$-Flattening

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T12:52:30.119300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c1a9fe43-8315-40c8-b3e7-046b8fddf32c · outbound

This paper cites Smoothness of random self-similar measures on the line and the existence of interior points.

On the Fourier transform of random Bernoulli convolutions Smoothness of random self-similar measures on the line and the existence of interior points

Reference 6

Resolution
verified exact
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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=2026-08-06T12:52:30.123656Z digest=sha256:f4068b7fc695e0cf253644da0c9b14c949d9356cb2200b13ebb8d864cb009712

Observation 1a90f936-c160-4013-9a9a-059cda10a445 · outbound

This paper cites Spectral gaps and Fourier dimension for self-conformal sets with overlaps.

On the Fourier transform of random Bernoulli convolutions Spectral gaps and Fourier dimension for self-conformal sets with overlaps

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T12:52:30.128525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T12:52:30.128525Z digest=sha256:94a03c059bda98838c1710805e8d93b0d10ae783cf7705cf155a6d37db77c6b4

Observation 242e2626-8425-482f-9d5b-e2d9cb54272a · outbound

This paper cites an unresolved cited work.

On the Fourier transform of random Bernoulli convolutions Unresolved cited work

Reference 8

Resolution
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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=2026-08-06T12:52:30.132657Z digest=sha256:b97624527ec5ab4a48b459dd266b800aeb160e288271bcf63ba7fde9fc5c260e

Observation 242a1ecf-8289-4db1-b6a5-3070ab848a74 · outbound

This paper cites T he interior of randomly perturbed self-similar sets on the line.

On the Fourier transform of random Bernoulli convolutions T he interior of randomly perturbed self-similar sets on the line

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.861771Z

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=2026-08-06T12:52:30.136703Z digest=sha256:21fd7828210781907437d548b6575445744b3d0f12d478d9063ef57fe6755d3f

Observation bad9411d-c744-431d-b812-2e71beff1125 · outbound

This paper cites O n a family of symmetric B ernoulli convolutions.

On the Fourier transform of random Bernoulli convolutions O n a family of symmetric B ernoulli convolutions

Reference 10

Resolution
verified fuzzy
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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.

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Observation e14c0cde-0abd-4391-9939-e7410200f32d · outbound

This paper cites T ypical self-affine sets with non-empty interior.

On the Fourier transform of random Bernoulli convolutions T ypical self-affine sets with non-empty interior

Reference 11

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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=2026-08-06T12:52:30.144469Z digest=sha256:bb6dd3839f7cc4b74ea4ea730b30d29e71e21d8a3becb0a131aae146f64927f5

Observation 74942e9a-5384-47b6-9e1c-1419221da633 · outbound

This paper cites an unresolved cited work.

On the Fourier transform of random Bernoulli convolutions Unresolved cited work

Reference 12

Resolution
unresolved
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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=2026-08-06T12:52:30.149422Z digest=sha256:bfaf7f208648d1e75aee78a498ff83d7cb0e619bd8022ed4d955f1f39d5659a5

Observation ec103056-0eb6-4f3e-ad98-a62ec2ad1efe · outbound

This paper cites O n self-similar sets with overlaps and inverse theorems for entropy.

On the Fourier transform of random Bernoulli convolutions O n self-similar sets with overlaps and inverse theorems for entropy

Reference 13

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.153177Z digest=sha256:12cdfc09a8ef1d1072c47200dd4328f6253a6008f2067a03595183e2077c6aff

Observation 70045c23-8cf6-4b20-9bb0-f9f4c4dc2fb4 · outbound

This paper cites D istribution functions and the R iemann zeta function.

On the Fourier transform of random Bernoulli convolutions D istribution functions and the R iemann zeta function

Reference 14

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.156997Z digest=sha256:416a6c2dc47d0d70184fb63de2bcbc8d7eb858b10d56344327a89aecf1cd9108

Observation 1c9e7d2e-2f07-4de6-a94f-8e36a52a81c3 · outbound

This paper cites S ur les fonctions de type positif et de type n \'e gatif.

On the Fourier transform of random Bernoulli convolutions S ur les fonctions de type positif et de type n \'e gatif

Reference 15

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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=2026-08-06T12:52:30.160809Z digest=sha256:4cede9112255212ad24b7bbacd770cd73610af09d07008ee46a47a2dbfae4c35

Observation 8e9e1e0a-cc28-4dc3-932b-e654dd01049a · outbound

This paper cites A bsolutely continuous self-similar measures with exponential separation.

On the Fourier transform of random Bernoulli convolutions A bsolutely continuous self-similar measures with exponential separation

Reference 16

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.164940Z digest=sha256:20767682179c802fd9fc6b38383c0ba66b6a2bb1533b57a66a059a0dd3eff80d

Observation c5a810b9-2d13-4072-8da8-49110ec6833e · outbound

This paper cites Kechris and Alain Louveau.

On the Fourier transform of random Bernoulli convolutions Kechris and Alain Louveau

Reference 17

Resolution
verified fuzzy
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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.

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Observation ff79cfca-42b4-4b64-a056-c0256b4d30fd · outbound

This paper cites D imension of uniformly random self-similar fractals.

On the Fourier transform of random Bernoulli convolutions D imension of uniformly random self-similar fractals

Reference 18

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.172541Z digest=sha256:6457befcead4b81af96885bccc74b2a16a013f9c19f6fbbe872c040836ca1e79

Observation 27570e44-9a66-46c2-b0b4-75ca72ecba65 · outbound

This paper cites A rithmetic progressions in sets of fractional dimension.

On the Fourier transform of random Bernoulli convolutions A rithmetic progressions in sets of fractional dimension

Reference 19

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.176254Z digest=sha256:3b7d401cb1a9743ae9f2918f2e6442557327d01ef4ce7404800a89a4042ce476

Observation 4f7269ea-2cf3-418a-ad72-c74406395497 · outbound

This paper cites F ourier dimension in c^ 1+ parabolic dynamics.

On the Fourier transform of random Bernoulli convolutions F ourier dimension in c^ 1+ parabolic dynamics

Reference 20

Resolution
verified exact
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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=2026-08-06T12:52:30.180554Z digest=sha256:95da02e07bde6f31a5d9ce1e5f27af5c78d897ee9969f3099be6d381b732eec4

Observation 234bfbba-7648-485d-a277-c131d4fa4ca0 · outbound

This paper cites F ourier transform of self-affine measures.

On the Fourier transform of random Bernoulli convolutions F ourier transform of self-affine measures

Reference 21

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.184457Z digest=sha256:081b00cb8bd702a8644ed9c46ae1ac90362e5225d8e7ab2b3899279170bdb73e

Observation 9467a282-23b3-421b-aa97-4909465a5f17 · outbound

This paper cites T rigonometric series and self-similar sets.

On the Fourier transform of random Bernoulli convolutions T rigonometric series and self-similar sets

Reference 22

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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=2026-08-06T12:52:30.188301Z digest=sha256:a7d607b24eb4dae3bacb0b1d1d7e0341d69daf096e78d630dae35e695099f8ba

Observation 557cc1d7-7558-4ada-8d52-4d06e7ec2a0d · outbound

This paper cites F ourier A nalysis and H ausdorff D imension , volume 150 of Cambridge Stud.

On the Fourier transform of random Bernoulli convolutions F ourier A nalysis and H ausdorff D imension , volume 150 of Cambridge Stud

Reference 23

Resolution
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raw_fallback, observed 2026-08-06T12:52:30.677088Z

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=2026-08-06T12:52:30.192401Z digest=sha256:9dbc89f36edee07c659b398ac840453da8db467aa4d0d79471c04169bf60eb13

Observation de6e27fc-e8ac-48d6-92ca-d6d59f6de3fc · outbound

This paper cites P roblems on self-similar sets and self-affine sets: an update.

On the Fourier transform of random Bernoulli convolutions P roblems on self-similar sets and self-affine sets: an update

Reference 24

Resolution
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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=2026-08-06T12:52:30.196525Z digest=sha256:9214837fd184132dbc6d9d363704dc90291914b0f74acb773a2cc356bbb69d66

Observation 099df334-e409-4f94-ba11-e81128703d51 · outbound

This paper cites A bsolute continuity for random iterated function systems with overlaps.

On the Fourier transform of random Bernoulli convolutions A bsolute continuity for random iterated function systems with overlaps

Reference 25

Resolution
verified fuzzy
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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=2026-08-06T12:52:30.200610Z digest=sha256:bdd50365d58c92cad876a79323d1c0620daaf39ccdca5556ed37cb41c6d1f469

Observation 2eb00e5a-af0a-4052-b523-95a777d52347 · outbound

This paper cites Pollington, Sanju Velani, Agamemnon Zafeiropoulos, and Evgeniy Zorin.

On the Fourier transform of random Bernoulli convolutions Pollington, Sanju Velani, Agamemnon Zafeiropoulos, and Evgeniy Zorin

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.635684Z

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=2026-08-06T12:52:30.204938Z digest=sha256:024202b9d08c7ecfdf1712463bcc17c35f0d4ad1d1514ea94ad2a693a89ce324

Observation 8bd8521f-3057-43aa-8cb4-79a8704dbaa5 · outbound

This paper cites F ourier transforms and iterated function systems.

On the Fourier transform of random Bernoulli convolutions F ourier transforms and iterated function systems

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.622122Z

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=2026-08-06T12:52:30.208996Z digest=sha256:3f6b490584278370773fc57c07f639df9c46642778eda82508897c14d5a75b32

Observation bd11810d-628d-46ec-a0de-07728d9be9a2 · outbound

This paper cites S ets of uniqueness and sets of multiplicity.

On the Fourier transform of random Bernoulli convolutions S ets of uniqueness and sets of multiplicity

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.606844Z

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=2026-08-06T12:52:30.213494Z digest=sha256:42abc3b6377d7ac7b39a8a232da7bf5ef114ef5bfdda118d20284e828e54a13c

Observation 7e29b617-7c64-4905-afeb-ea65987ecd3e · outbound

This paper cites O n F urstenberg's intersection conjecture, self-similar measures, and the l^ q norms of convolutions.

On the Fourier transform of random Bernoulli convolutions O n F urstenberg's intersection conjecture, self-similar measures, and the l^ q norms of convolutions

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.589983Z

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=2026-08-06T12:52:30.217614Z digest=sha256:2ad947d057eb41c7f73409d521f6d6ff60e4cccbf1199367010f6819e4ccf30d

Observation 9f6fd9d2-05d2-437f-a98e-b2de3dcef6d1 · outbound

This paper cites O n the random series ^ n (an E rd o s problem).

On the Fourier transform of random Bernoulli convolutions O n the random series ^ n (an E rd o s problem)

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.575432Z

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=2026-08-06T12:52:30.221611Z digest=sha256:1b8b275f190a4e1421f8d84a384d7076a501b1dce4354943b4d23a8bc9d5fffd

Observation 4a8a8dca-c284-4600-a0f6-ada594abc7b7 · outbound

This paper cites O n absolute continuity and maximal G arsia entropy for self-similar measures with algebraic contraction ratio.

On the Fourier transform of random Bernoulli convolutions O n absolute continuity and maximal G arsia entropy for self-similar measures with algebraic contraction ratio

Reference 31

Resolution
verified exact
raw_fallback, observed 2026-08-06T12:52:30.344765Z

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=2026-08-06T12:52:30.225882Z digest=sha256:99f6a40caab1eb644f1eb1df6745abb2cc94572d72f617b208ee34cc63c24855

Observation e5e2e0a8-21c0-4036-8f0c-84ec4cb7e14d · outbound

This paper cites O n the dimensions of attractors of random self-similar graph‑directed iterated function systems.

On the Fourier transform of random Bernoulli convolutions O n the dimensions of attractors of random self-similar graph‑directed iterated function systems

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.561356Z

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=2026-08-06T12:52:30.230688Z digest=sha256:07b8f7612e0d889d5a50bb07fbd042fbbf920013e4f4c6c5ca2ee4d434f56c1b

Observation 41e59e97-ad4f-43fe-942f-89b1e71278c9 · outbound

This paper cites Varj\' u.

On the Fourier transform of random Bernoulli convolutions Varj\' u

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.547150Z

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=2026-08-06T12:52:30.234788Z digest=sha256:8cf2359e3c33d0ebce8f066775cd3e2fccbe31aba8a3e154b8095b4cc3e5d4e3

Observation 0910d66d-ba76-4622-8611-9fb1633a9884 · outbound

This paper cites Varj\' u.

On the Fourier transform of random Bernoulli convolutions Varj\' u

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:52:30.532938Z

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=2026-08-06T12:52:30.238964Z digest=sha256:aa2632862094a211538b3bfa91e944435f1e541c2870302a1c4951aa69387aa0

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