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Paper Citation Record · LEDGER

Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2409.13164.

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

pith.paper-citation-record.v1
2409.13164 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:14:45.456103Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T00:19:12.744568Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a0581fd5-e12b-408f-97ad-a202d2d50abe · inbound

Fourier dimension of the graph of fractional Brownian motion with $H \ge 1/2$ cites this paper.

Fourier dimension of the graph of fractional Brownian motion with $H \ge 1/2$ Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-23T03:55:21.855533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-23T03:54:07.601724Z digest=sha256:38bca7e18750a82d9db6cafdeca3b017925566e339f860c941b438e7f58af883

Observation 90665945-f2e9-4b4e-b9f4-3e867ccf49bb · inbound

Microcanonical cascades and random homeomorphisms cites this paper.

Microcanonical cascades and random homeomorphisms Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T15:14:45.456103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:14:45.456103Z digest=sha256:81a3de5c23b8a850e440f4ff68d51839c2b22263d0036e550cead5310d311b86

Observation b5dc499a-d9c1-4661-8729-bd5c6e45894b · inbound

Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus cites this paper.

Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T10:49:08.330167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T10:49:08.330167Z digest=sha256:39af1c34f13a3e3cb99ccfc2b1bce7a52225697fdda8fce451ac82a7e7041172

Observation 8c7f4de4-aa50-4684-84c2-c70f3b63f642 · inbound

Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas cites this paper.

Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-02T20:27:22.219670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-27T20:29:15.073363Z digest=sha256:d9265a026bfbf3aeaf64b7d1bd5e48099d7555d96f0e6bf262cee1827df401e6

Observation d5d52329-f308-46d3-82f8-e89b571c3ff4 · inbound

Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability cites this paper.

Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-02T23:47:27.435245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-27T17:59:01.483518Z digest=sha256:f8d1281ad528f4742eabbcf90cb4d1265ece3277058484cf0e9e49b56098bea2

Observation f5a2109c-0566-4de2-b3cb-82f235e9473e · inbound

Fourier Dimensions of Mandelbrot Cascades under Minimal Integrability cites this paper.

Fourier Dimensions of Mandelbrot Cascades under Minimal Integrability Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-02T23:47:27.547540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-27T17:56:54.767272Z digest=sha256:25238daa003533d1a24cb1337a3bea411bfebc3374400a5c1d2599f2cfdbfdd7

Observation 8c4a62d5-c294-4399-bf50-91b67a8b549e · inbound

Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability cites this paper.

Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-03T12:58:07.556048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-27T08:41:56.866507Z digest=sha256:ecd65268dad66d37ab43e3d1184148ada057de6cf3ac3632e68743630d2d905b

Observation b4fb857d-a2a0-4049-9aef-d96609a82e19 · inbound

Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability cites this paper.

Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-04T00:19:12.745865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-04T00:13:13.368667Z digest=sha256:b151479382713f264cf0c68289461a93e088e61f2770d87d296af1cf7fa333c0

Observation 3e44b1f3-36cb-44f3-9264-799f5712662b · inbound

Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability cites this paper.

Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T11:56:29.493092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:56:29.493092Z digest=sha256:15a16f55744ddab8e43ebda998609661725c9697b1cfb9f9361a62da4c335585

Observation 23760216-2a52-44f7-8775-3aec8227d207 · inbound

Canonical Mandelbrot Cascades on Curves Are Rajchman cites this paper.

Canonical Mandelbrot Cascades on Curves Are Rajchman Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T21:59:23.317805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:59:23.317805Z digest=sha256:2d9ad2f28152f4b61f0abed4e022901ef24799bf1c5872481385e2379dc249b9