Paper Citation Record · LEDGER

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions

As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 5 inbound Pith citation observations for arXiv:2505.03298.

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

pith.paper-citation-record.v1
2505.03298 v4

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:08:39.679295Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:14:47.024879Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T12:58:07.559966Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy12
unresolved18
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation d86762e4-af91-4c8b-a9c0-937ae01912cf · outbound

This paper cites Log-infinitely divisible multifractal processes.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Log-infinitely divisible multifractal processes

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:38.942870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7599e58d-66dd-4352-919f-4b608a3e2dea · outbound

This paper cites Self-similar and self-affine sets and measures.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Self-similar and self-affine sets and measures

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.039309Z

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Observation fbd4bae1-c226-4c8a-bca6-fae09572d2f3 · outbound

This paper cites Covering numbers of different points in Dvoretzky covering.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Covering numbers of different points in Dvoretzky covering

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:41.022898Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3966a25d-3d53-44d5-a935-b31aa98e1fc0 · outbound

This paper cites Basic properties of critical lognormal multiplicative chaos.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Basic properties of critical lognormal multiplicative chaos

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.050060Z

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Observation 1454c60d-20c6-4567-89fb-21b1cad57871 · outbound

This paper cites The Virasoro structure and the scattering matrix for Liouville conformal field theory.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions The Virasoro structure and the scattering matrix for Liouville conformal field theory

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.055044Z

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Observation 3fa75876-56b3-46a1-b66d-83b5b7f3548e · outbound

This paper cites Multifractal analysis of Gaussian multiplicative chaos and applications.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Multifractal analysis of Gaussian multiplicative chaos and applications

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.059426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 387b18cf-32fb-4f4d-9565-d2a8c3b653bc · outbound

This paper cites Fourier dimension of Mandelbrot multiplicative cascades.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Fourier dimension of Mandelbrot multiplicative cascades

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.064348Z

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Observation 73cb08d0-5075-4850-aff5-2b6386a22c0d · outbound

This paper cites Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.069088Z

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Observation e640079b-1303-42d3-9809-4f365fc4cc3f · outbound

This paper cites On the circle, GMC^ = C E_n for = 2 ( 1).

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions On the circle, GMC^ = C E_n for = 2 ( 1)

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.073742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fb1166f-e2f9-44dd-86f5-e0c53f195624 · outbound

This paper cites Exact dimensionality and projection properties of Gaussian multiplicative chaos measures.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Exact dimensionality and projection properties of Gaussian multiplicative chaos measures

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.170161Z

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Unavailable: canonical work link unavailable.

Observation a3e6e2b2-ea98-44e9-a308-95d973ea9e88 · outbound

This paper cites How many intervals cover a point in Dvoretzky covering? Israel J.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions How many intervals cover a point in Dvoretzky covering? Israel J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.927533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 32facd8e-9948-4b02-9c8c-ecc1881300ed · outbound

This paper cites How many intervals cover a point in random dyadic covering? Port.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions How many intervals cover a point in random dyadic covering? Port

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.912609Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e62ac964-9e78-41f7-a6e6-d14d34b57b90 · outbound

This paper cites Fitzsimmons, Bert Fristedt, and Larry A.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Fitzsimmons, Bert Fristedt, and Larry A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.859762Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 89a518bb-8d97-4b31-aaf8-8ab7d08b8d52 · outbound

This paper cites Harmonic analysis of Gaussian multiplicative chaos on the circle.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Harmonic analysis of Gaussian multiplicative chaos on the circle

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.333097Z

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Observation b7977039-5bb7-4e7e-8681-49c1301e5cfa · outbound

This paper cites Sur le chaos multiplicatif.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Sur le chaos multiplicatif

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.337767Z

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Observation bab638d6-5a5a-4bf4-9df5-b1b3ab187728 · outbound

This paper cites Some random series of functions.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Some random series of functions

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.342127Z

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Observation 893da080-bcfb-4be9-b11a-cccacaf502bb · outbound

This paper cites Positive martingales and random measures.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Positive martingales and random measures

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.359908Z

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Observation 568efab1-9f5d-4cfd-8735-f9b387952381 · outbound

This paper cites Intervalles al\'eatoires et d\'ecomposition des mesures C.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Intervalles al\'eatoires et d\'ecomposition des mesures C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.707832Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1615be22-648b-4482-82f5-aa1d721d1f42 · outbound

This paper cites Fractals and random measures.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Fractals and random measures

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.513077Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cee2d7d4-177c-4d58-9a93-b1dc3aed66fd · outbound

This paper cites Random coverings and multiplicative processes.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Random coverings and multiplicative processes

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.498877Z

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Observation 767e01c7-3068-4bfa-a9d4-83467d494875 · outbound

This paper cites Sur certaines martingales de Benoit Mandelbrot.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Sur certaines martingales de Benoit Mandelbrot

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.412191Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 097f6629-d0b5-4dad-b8b9-a37bb70bf826 · outbound

This paper cites Complex gaussian multiplicative chaos.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Complex gaussian multiplicative chaos

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.495647Z

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Observation 516c03a3-3931-4f83-a690-6289166420e8 · outbound

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

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.499508Z

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Observation 2bafcccf-166f-47bc-9b88-715f80e97fe8 · outbound

This paper cites Renewal sets and random cutouts.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Renewal sets and random cutouts

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.236492Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e8c24829-7924-49b6-8ff6-657289e905db · outbound

This paper cites Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.222558Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 709b595d-f562-452e-b093-56c7a242e284 · outbound

This paper cites Multiplications al\'eatoires it\,er\'ees et distributions invariantes par moyenne pond\'er\'ee al\'eatoire.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Multiplications al\'eatoires it\,er\'ees et distributions invariantes par moyenne pond\'er\'ee al\'eatoire

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:40.136609Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 334dcfe6-b002-40cc-88ca-a6c8b1b52814 · outbound

This paper cites Martingales in Banach spaces.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Martingales in Banach spaces

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.619869Z

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Observation bba96cbe-aca3-4828-b1e9-18d2cf4e5edf · outbound

This paper cites Gaussian multiplicative chaos and applications: a review.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Gaussian multiplicative chaos and applications: a review

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T00:08:39.641763Z

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Observation a86de1bd-c495-425e-ad46-f89e2d66c840 · outbound

This paper cites an unresolved cited work.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:08:40.019423Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6232b4c7-bcf3-4cc5-99b8-9c98f38aa59c · outbound

This paper cites Spatially independent martingales, intersections, and applications.

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions Spatially independent martingales, intersections, and applications

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:08:39.890974Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 4f9746ec-cbb1-4796-8943-3a999e5ad258 · inbound

Microcanonical cascades and random homeomorphisms cites this paper.

Microcanonical cascades and random homeomorphisms Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T15:14:47.024879Z

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Observation d6befb78-ddfc-4d37-afc5-079edde27abd · 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 multiplicative chaos Part II: a unified approach to Fourier dimensions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T10:49:09.630961Z

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Observation 68ea8d6c-da83-40e7-bf73-541b825ba0ab · 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 multiplicative chaos Part II: a unified approach to Fourier dimensions

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:47:27.432210Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1472891e-f142-4e4f-a6a2-7a2ff851a06e · inbound

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

Fourier Dimensions of Mandelbrot Cascades under Minimal Integrability Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:47:27.552773Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c6605bad-4f9d-400d-900f-54ec0a3ae8ff · 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 multiplicative chaos Part II: a unified approach to Fourier dimensions

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:58:07.561792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.