Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 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 11 of 11 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 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:57:23.301856Z

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
parse uncertain0
malformed identifier0
metadata mismatch0

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 c86398ea-5508-458c-919f-2606a2a78b3a · inbound

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC cites this paper.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T15:57:23.301856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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.

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.

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

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

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

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

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.

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

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.

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.

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.