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Paper Citation Record · LEDGER

On the Fourier transform of random Bernoulli convolutions

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.100707Z digest=sha256:e1949996c52088c32597d175bf606fbf2693c3bbcb6362308da1a1270683e4b8

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:b9c8c61c518b6a6b74ba50391ba330bee7ee925f87094cf1fe87cca8c5eb5485

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.110242Z digest=sha256:7b63d56abd9b0294e6eaa4de16399d4584bf5b561b96a31bcb44dd57b4b1725f

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.115004Z digest=sha256:e983eb6ebb6127aada7568503e0f9e2babbe0fc878ea33df903f2c81bb59573f

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.

source=arxiv_source observed=2026-08-06T12:52:30.119300Z digest=sha256:f23cc018fc367dc4d84db88662ffc405e32f58929160d7d87869ae178ba33533

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.123656Z digest=sha256:60459c7b6bfb89b84023d2d0b95fbd6a9a2f8b7bda3049afe5509980e7c0d861

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:c0699b7b425899d1e0d1189ddc17f2725b78c941c9c244d2b7c1116d56ec4e6c

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
unresolved
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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.132657Z digest=sha256:c023b01080b2657677e24fcdc7cba3b0b80a458d2f9a31db43fd819693ad7add

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.136703Z digest=sha256:f4086b468ea0453eac3c10db7118f6cbf833af7b1c530d0b988ac37139012897

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.140552Z digest=sha256:2ce58b846ddee24f010d663f48aa2fda54e5fed1676afad364676e0735f953f3

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.144469Z digest=sha256:63e747acbc13ad65cce80f78e98af846208eea2dda69e422d0596a6262c9d2d6

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.149422Z digest=sha256:4b48642bcf6bde76d98cc79ad3f8b36e666fb0e2ef38f97175d9159bbe0ae88c

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
raw_fallback, observed 2026-08-06T12:52:30.806314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.153177Z digest=sha256:4ab62964106c0f1668fa942cf5dbbefbbc17df933ae730adff212bdd74ea4cab

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.156997Z digest=sha256:c30ac3ba84b30283537e2552ab1e9e8998c234d8d3fa9f794947b313adda3e51

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.160809Z digest=sha256:7a993b10ab98a73b57b14aa946ada7274533585dba17fac7e8d698f8c1ed4ff4

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

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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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.164940Z digest=sha256:b0629097369a42077e2d5343bc46e8e428251b28d81137b2b7e2c3921b7c5e45

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.168725Z digest=sha256:2a53d11e8dba42514283fba85d05309403f6b6e0f5bc55b08acd3f2192bc2b47

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.172541Z digest=sha256:e8a4b023d4d96f8e4f3068c67184f1a05f48e242dfc684fda50d8de032973b5c

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.176254Z digest=sha256:b671bec788292d2b376f8f15671abb62815677044fd3a2926190a58e85f2cef2

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.180554Z digest=sha256:015c7bd3981f2879e7940b8f35a6a0315f998c9d3adf6477f49678e44870dfc5

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.184457Z digest=sha256:0a994e2e554b30f8668de9980260c7d465752eaf71d2fdcfd0d8de7d69a24dd3

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.188301Z digest=sha256:5e0e329382c887955e75d6e082f06d773037fe747725ec6b39d573d9665e04a2

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.192401Z digest=sha256:35e5f2e0a31e364ac93f0399b73d951dc0d88721e11dfda750e419dc69702c43

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.196525Z digest=sha256:7558e2cf7dc9d421117bd872fd0d0f151ea16221fb33146a03e268e36a5d3327

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
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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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.200610Z digest=sha256:6cca5087929922fef548f7f6c59f70d6407cfc259b7256cc6dd9a4980aff1638

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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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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.204938Z digest=sha256:8ea926ba4a0c02e679b3232fd70eb63ee587169f9ef85ab587cf807505a24f23

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.208996Z digest=sha256:bf6ebaf38c1ccaf274d5cd810557b39aabd3e7e57fe1e95309ac63397d1113c7

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
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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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.213494Z digest=sha256:e361adf0d72c5683a2a2a30c715d24da9af1d8f186529eee7d52dd8f9bca7e47

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.217614Z digest=sha256:668ca8889081c04d078875af1617554b5b9e50dc7e02239de2fab0134afbe558

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.221611Z digest=sha256:4d4e993bc520cdd1c2f5732f765d9f76fbcfb6e4bb5ac1929657e3f427c65687

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.225882Z digest=sha256:13bcf1e23647895e42e34ad0961607b31a24342226dfbab993c53ce4132eda69

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.230688Z digest=sha256:cb474612d9883ebc79214c9ce8a63caa88b449376c0ab8139e62e15dc7a2785d

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.234788Z digest=sha256:43c5950b6d59b746cdda2ac8c1e648709d56a601c283313fafef02baa5d47e43

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-06T12:52:30.238964Z digest=sha256:c694ce7e237387db5c45ba83c503f3595958bcf4e8b2b53cc2839422923968f0

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