Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 4 inbound Pith citation observations for arXiv:2411.13923.

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

pith.paper-citation-record.v1
2411.13923 v3

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:57:23.373129Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:08:39.499508Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T20:31:14.733690Z

Reference resolution

31 of 31 outbound references displayed

verified exact2
verified fuzzy25
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b92e29a7-424e-4ca2-82a7-5a5d9c314316 · outbound

This paper cites Random conformal weldings.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Random conformal weldings

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.747588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 91e66534-f097-48d0-8d70-89aa81a40917 · outbound

This paper cites Log-infinitely divisible multifractal processes.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Log-infinitely divisible multifractal processes

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.739231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a5eb5ad0-cdd4-4e37-b019-2c48bdbb5beb · outbound

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

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Self-similar and self-affine sets and measures

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.730814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 88bb067d-15fb-4cf0-b469-fe2483df1003 · outbound

This paper cites Basic properties of critical lognormal multiplicative chaos.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Basic properties of critical lognormal multiplicative chaos

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.722415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation efa2bc48-b772-42b3-a127-4661efc38b72 · outbound

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

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC The Virasoro structure and the scattering matrix for Liouville conformal field theory

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.713895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c47eb5aa-771d-494d-bb63-8aa7b83969dd · outbound

This paper cites Random Hermitian matrices and Gaussian multiplicative chaos.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Random Hermitian matrices and Gaussian multiplicative chaos

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.705474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f6aa993a-94ec-46dd-850d-666a0441cc48 · outbound

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

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Multifractal analysis of Gaussian multiplicative chaos and applications

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.697008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ffc64088-5da3-45ef-bf8f-4beea65ec725 · outbound

This paper cites Fourier dimension of Mandelbrot multiplicative cascades.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Fourier dimension of Mandelbrot multiplicative cascades

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T15:57:23.298526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c86398ea-5508-458c-919f-2606a2a78b3a · outbound

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

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 238a2056-387a-49a3-bfb6-8ef2e229c9df · outbound

This paper cites On the circle, Gaussian Multiplicative Chaos and Beta Ensembles match exactly.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC On the circle, Gaussian Multiplicative Chaos and Beta Ensembles match exactly

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-12T15:57:23.501987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6d7ee90c-3a91-449c-9f8c-aa3df59ee35d · outbound

This paper cites Liouville quantum gravity on the Riemann sphere.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Liouville quantum gravity on the Riemann sphere

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.688874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 50cb341a-343c-480d-b8f1-66bc2f296761 · outbound

This paper cites Liouville quantum gravity and KPZ.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Liouville quantum gravity and KPZ

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.679937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 38dcc2db-166d-4974-a6c8-498d7d334e0c · outbound

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

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Exact dimensionality and projection properties of Gaussian multiplicative chaos measures

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.671442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cb79e1bd-6955-4e30-bb2d-362e62ad6788 · outbound

This paper cites Relationships between different dimensions of a measure.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Relationships between different dimensions of a measure

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.662894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a805598e-f465-4caa-a158-111f9e89d334 · outbound

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

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Harmonic analysis of Gaussian multiplicative chaos on the circle

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T15:57:23.321547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cbc8235-8768-4f67-a953-0d558ff34fed · outbound

This paper cites Random analytic functions via Gaussian multiplicative chaos.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Random analytic functions via Gaussian multiplicative chaos

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:57:23.403784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6776e042-fe28-47e7-8b1e-05499b30d866 · outbound

This paper cites Hunt and Vadim Yu.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Hunt and Vadim Yu

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.653930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0d679d36-2a7e-4f35-8da5-7dcc6a405766 · outbound

This paper cites Decompositions of log-correlated fields with applications.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Decompositions of log-correlated fields with applications

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.645605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f78507ce-1487-4d7a-afe0-a08dfcac23a0 · outbound

This paper cites Sur le chaos multiplicatif.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Sur le chaos multiplicatif

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.636923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f7567549-587e-4d74-82fa-1d4a54237f3c · outbound

This paper cites Some random series of functions.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Some random series of functions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.628722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2b6ac041-bcc0-438f-bdaa-982a1439a2c3 · outbound

This paper cites Positive martingales and random measures.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Positive martingales and random measures

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.620119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7eae2ffc-18df-4e5a-8a78-4cb29e0021d7 · outbound

This paper cites An introduction to harmonic analysis.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC An introduction to harmonic analysis

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.610376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd8c3f84-6e32-4010-9c40-5a185d429cc5 · outbound

This paper cites Integrability of Liouville theory: proof of the DOZZ formula.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Integrability of Liouville theory: proof of the DOZZ formula

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.601096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 836c6218-4ccb-4219-b896-94d8801bcb58 · outbound

This paper cites Complex gaussian multiplicative chaos.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Complex gaussian multiplicative chaos

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.591755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a4ba70d6-d78b-42fc-b210-bce681a9bd38 · outbound

This paper cites Fourier analysis and Hausdorff dimension.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Fourier analysis and Hausdorff dimension

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.582187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9c936250-a006-455b-84a9-fda757431d8a · outbound

This paper cites Salem sets and restriction properties of F ourier transforms.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Salem sets and restriction properties of F ourier transforms

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.573212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 546a27dc-7311-46e7-9f43-f13f706364a9 · outbound

This paper cites Martingales in Banach spaces.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Martingales in Banach spaces

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T15:57:23.359926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffbd4c0e-5528-44fe-82b8-5212c08ab034 · outbound

This paper cites Continuous martingales and Brownian motion.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Continuous martingales and Brownian motion

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.559340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f12ca41a-9be8-4d99-b223-59bb83a23100 · outbound

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

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Gaussian multiplicative chaos and applications: a review

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.550454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0f909bb1-2960-4d8b-950c-25d6727ccd13 · outbound

This paper cites Conformal weldings of random surfaces: SLE and the quantum gravity zipper.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC Conformal weldings of random surfaces: SLE and the quantum gravity zipper

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.540474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 317568ca-993e-4082-89d7-a9c979836369 · outbound

This paper cites The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos--the L^2 -phase.

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos--the L^2 -phase

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:57:23.530624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

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

Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions cites this paper.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ca15100-852d-4f41-8c2a-de6e13ba5257 · inbound

Microcanonical cascades and random homeomorphisms cites this paper.

Microcanonical cascades and random homeomorphisms Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T15:14:46.873479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e4fe713-4831-40cd-bd4a-c89282ddc79f · 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 I: the proof of Garban-Vargas conjecture for 1D GMC

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T10:49:09.501454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a72b54f0-4c4b-475c-b91b-3aab06e67426 · inbound

Fourier dimension of imaginary Gaussian multiplicative chaos cites this paper.

Fourier dimension of imaginary Gaussian multiplicative chaos Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-16T20:31:14.736149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.