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Paper Citation Record · LEDGER

On the Fourier transform of random Bernoulli convolutions

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.100707Z digest=sha256:23e0082d6469e376f30d4d284f9ef9253d4aca2421b6258026364212c740dbee

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=sha256:3ef7297fb5b4797c62c94aa054be570b6f00c1fd745ac729e6ca7dc9295f6a89

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 2026-08-08T06:32:00.761636+00:00.

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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
local_arxiv, observed 2026-08-06T12:52:30.501876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.115004Z digest=sha256:460da5319b90dc7f8721c6e9d989bfbc96828096e58fb198631e1c39b4ed445b

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T12:52:30.119300Z digest=sha256:2f3293b65811616b3e3f37d02e3873d11261be5a3e9a1fa3c65f4f50222dd63a

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 2026-08-08T06:32:00.761636+00:00.

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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
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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=sha256:534c0ec0006b89d1bd7aa65e8520aebe1d4dcd5baeee304626544d7a22ed6756

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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raw_fallback, observed 2026-08-06T12:52:30.875419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.132657Z digest=sha256:f3daaea2c1262dbf9e60435c1cfa8e4ee0e6788663bd17cb9cbd09c787322ca2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.136703Z digest=sha256:40ef51fa6690725c081de58704f17cab94278fe2564cf6e0f15f9fecf39646ea

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.140552Z digest=sha256:43e834352d0ef5edf6f40bfe21dce17c8255cc6abfeda11e7541939e816ec1f2

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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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.144469Z digest=sha256:c3c79d0f571a6397d60323e3d2b6ad85a4f3ba720b96d2a1502c810657c99850

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.149422Z digest=sha256:1017fefd0b69c1d3b3ad80e86bf716bad7fb6cd6e0cbd60282986e0616428510

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.153177Z digest=sha256:6f880db877adeff6285da34a75b760b33de534fd55d83d54450d87bd7645f99a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.156997Z digest=sha256:73d79c34df09057755cecbe86ec078541a937b46700bbde7c3e04f0620be750b

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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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.160809Z digest=sha256:a8da925f1b4f9ba8840c50095f6a493ad85dec09f2a14626735c78c6970b8f74

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.164940Z digest=sha256:8538bedbd624a6e4c484ed667ab84a7e5c02e9639941a9822071e14d50172fa2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.168725Z digest=sha256:64ab539d8a7e5d010ca40a3337dc6b8b64f6785f37ddc88c38a8a79fd2b8da33

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.172541Z digest=sha256:0ffce1dfd5bd34a3fc19fa4796e1f6d5205c1a8046f880b7e087d630acce3e12

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.176254Z digest=sha256:d057562645a9d0288311ffaffd7fee405929c4a1bffdb18791d37c3debada1ad

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
raw_fallback, observed 2026-08-06T12:52:30.425598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.180554Z digest=sha256:0864950d7147844679627882c31ee9fff15c04ba1e52c37b675519299fe1b506

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.184457Z digest=sha256:8bbf57d319951c86016d08bc84e5347066b03477c5ef3d64b1858209e2d16420

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.188301Z digest=sha256:1799f1591f2ebeceab67d2ae0cd437fdcb772b00d11b6ed473c9da82b5eee75d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.192401Z digest=sha256:3654026c49ac92cc7bbb7ff65850ffa33a5573af506e4a477234e1d78ef1e8b3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.196525Z digest=sha256:af65bb33a07da499c55b7c1359bea160219fd3ad3fdb65107bc4beb1701c6a47

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
raw_fallback, observed 2026-08-06T12:52:30.648755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.200610Z digest=sha256:7849926c50a9ec7a2cc944c437297d9a90ac8377fde87061bdb4f4755be47b69

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

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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.204938Z digest=sha256:cc42f1f42b83eef792d6cd57e55216cf17ae61b2b49b85e98f907315a16793cd

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.208996Z digest=sha256:e3086d18626a39fbf24b4abb1382b8e05ed14c43d555d9b2c4a3d91551f1b8d2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.213494Z digest=sha256:0f01c862d8c68f6db74b5159944bf46c4b1cd04e5700260b291be22210039de8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.217614Z digest=sha256:647d541190da13357a880251e5a7ec79340546581b1d2f360caa17f3530b2fb8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.221611Z digest=sha256:aeeb9d38daeda31855bbcd386a1e7c889e71bdf7f6fa7ff3fff219f0f6ccfb9f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.225882Z digest=sha256:38c60d1d674c7dacf8cb6043cea45a36d8ce5d57c717da8adfd63f360231b79f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.230688Z digest=sha256:fe285ebc6b4bb41da1f399c6ddcc9579f90b50a83643b9cfa98a42e4d3a1e45b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.234788Z digest=sha256:09a009fac3d2c861782b9944dc7261e32916160d097bacd3f2f41e196fdb99b4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.238964Z digest=sha256:a7de1dc8bf1194d22866f5384a302fd877ee79a347ce4e468a4c0fe6367f053b

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No inbound Pith citation observations are available.