Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T10:49:10.472408Z
Paper Citation Record · LEDGER
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus
As of 15 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2507.23494.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
19 of 19 outbound references displayed
- verified exact0
- verified fuzzy14
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0acd2dfd-a375-483a-b17f-623e1c188b69 · outbound
This paper cites Self-similar and self-affine sets and measures.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Self-similar and self-affine sets and measures
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:14.516514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 746eac04-7906-4185-8679-3bbe87f0e04c · outbound
This paper cites Modulation spaces, Wiener amalgam spaces, and Brownian motions.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Modulation spaces, Wiener amalgam spaces, and Brownian motions
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:14.197119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 270deb15-a058-461e-9c76-9151ace86bc2 · outbound
This paper cites Multifractal analysis of Gaussian multiplicative chaos and applications.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Multifractal analysis of Gaussian multiplicative chaos and applications
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:13.856207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e3428cd1-58f9-4f68-80da-85aaf4205290 · outbound
This paper cites Functional analysis, Sobolev spaces and partial differential equations.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Functional analysis, Sobolev spaces and partial differential equations
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:13.530352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b5dc499a-d9c1-4661-8729-bd5c6e45894b · outbound
This paper cites Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales.
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 e62c7322-04fc-427c-85bb-901444d0ff10 · outbound
This paper cites Fourier restriction, decoupling, and applications.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Fourier restriction, decoupling, and applications
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:13.192179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 59766b0c-8cb9-4e97-bd57-564350bfb25b · outbound
This paper cites Harmonic analysis of Gaussian multiplicative chaos on the circle.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Harmonic analysis of Gaussian multiplicative chaos on the circle
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T10:49:08.723603Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c5fd765-dc9f-4837-952b-972844a77544 · outbound
This paper cites an unresolved cited work.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:49:12.943906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4229e194-d596-4caf-9aa2-5e51675f372a · outbound
This paper cites Sur le chaos multiplicatif.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Sur le chaos multiplicatif
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:12.773769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1585d579-f22e-41f7-89cf-05cd5af120be · outbound
This paper cites Positive martingales and random measures.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Positive martingales and random measures
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:12.514880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a4780798-37df-49fa-b190-4ac934a1765e · outbound
This paper cites Foundations of modern probability.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Foundations of modern probability
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:12.294079Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3e4fe713-4831-40cd-bd4a-c89282ddc79f · outbound
This paper cites Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC.
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 d6befb78-ddfc-4d37-afc5-079edde27abd · outbound
This paper cites Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions.
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19b6f39a-31ad-4ef3-a364-b5c49ce3a70f · outbound
This paper cites On Landau damping.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus On Landau damping
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:12.026271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4667315f-3cbb-4ad7-aa6f-19557a0fce8a · outbound
This paper cites Oppenheim and Ronald W.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Oppenheim and Ronald W
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:11.788128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a22cd5f2-673d-4074-8288-4c5b33605702 · outbound
This paper cites Martingales in Banach spaces.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Martingales in Banach spaces
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:11.565061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2ffa45a6-cd3d-4fc2-a60b-a3f9dc0b0cbb · outbound
This paper cites Gaussian multiplicative chaos and applications: a review.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Gaussian multiplicative chaos and applications: a review
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:11.343447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 09338e47-0cff-4453-8dd8-945305fd616b · outbound
This paper cites Fourier analysis on groups.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Fourier analysis on groups
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:11.020211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8fed09fd-74c0-4e79-a84b-49cf994ec74a · outbound
This paper cites Changes of variables in modulation and Wiener amalgam spaces.
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus Changes of variables in modulation and Wiener amalgam spaces
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:49:10.807762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.