Paper Citation Record · LEDGER

Microcanonical cascades and random homeomorphisms

As of 9 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2505.16405.

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

pith.paper-citation-record.v1
2505.16405 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:14:47.881344Z

measured 44 of 44 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:59:01.483518Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T19:10:04.355483Z

Reference resolution

42 of 42 outbound references displayed

verified exact0
verified fuzzy34
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0f5e59b-a6aa-4b42-8a72-a12dc9283869 · outbound

This paper cites Random conformal weldings.

Microcanonical cascades and random homeomorphisms Random conformal weldings

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:55.987529Z

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.

Observation 96405914-145d-4e68-8fea-274e45626c6e · outbound

This paper cites Critical mandelbrot cascades.

Microcanonical cascades and random homeomorphisms Critical mandelbrot cascades

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:55.802255Z

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.

Observation 4a53af1c-4976-4187-a6a2-80506e5a9605 · outbound

This paper cites Continuity of the multifractal spectrum of a random statistically self-similar measure, J.

Microcanonical cascades and random homeomorphisms Continuity of the multifractal spectrum of a random statistically self-similar measure, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:55.641217Z

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.

Observation beb4e54c-dd08-44de-bf07-3902143a5a47 · outbound

This paper cites Generalized vector multiplicative cascades.

Microcanonical cascades and random homeomorphisms Generalized vector multiplicative cascades

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:55.505334Z

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.

Observation 558e4cd7-9591-4133-bd16-9923cf3b5c9f · outbound

This paper cites Multifractal analysis of complex random cascades.

Microcanonical cascades and random homeomorphisms Multifractal analysis of complex random cascades

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:55.329255Z

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.

Observation 2ce0698b-52e0-49ee-af1e-f6690769f86d · outbound

This paper cites Uniform convergence for complex [0,1]-martingales.

Microcanonical cascades and random homeomorphisms Uniform convergence for complex [0,1]-martingales

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:55.146952Z

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.

Observation 5ccd9d96-9785-4f3c-b871-7b7fed05eaf0 · outbound

This paper cites Convergence of complex multiplicative cascades.

Microcanonical cascades and random homeomorphisms Convergence of complex multiplicative cascades

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:54.976078Z

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.

Observation da1f4dde-814d-4036-9b2a-148e252ee866 · outbound

This paper cites Introduction to infinite products of independent random functions ( R andom multiplicative multifractal measures.

Microcanonical cascades and random homeomorphisms Introduction to infinite products of independent random functions ( R andom multiplicative multifractal measures

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:54.794633Z

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.

Observation d8bba805-af20-49bf-b483-9cf21e029b69 · outbound

This paper cites Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures ( R andom multiplicative multifractal measures.

Microcanonical cascades and random homeomorphisms Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures ( R andom multiplicative multifractal measures

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:54.647523Z

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.

Observation 0e761c59-f7b9-4ab7-a021-b738fbb53bfb · outbound

This paper cites Mesures al\' e atoires de M andelbrot associ\' e es \`a des substitutions.

Microcanonical cascades and random homeomorphisms Mesures al\' e atoires de M andelbrot associ\' e es \`a des substitutions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:54.435989Z

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.

Observation 23571bc9-66ff-442a-92fc-8d091df37eb0 · outbound

This paper cites o ran Bergh and J\.

Microcanonical cascades and random homeomorphisms o ran Bergh and J\

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:54.241287Z

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.

Observation 74949e5d-866d-42cb-a0f5-3c1d30048bdc · outbound

This paper cites an unresolved cited work.

Microcanonical cascades and random homeomorphisms Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:14:54.049976Z

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.

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

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

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 b87e5e5a-950c-4519-a1cf-cb67e12f0b17 · outbound

This paper cites The Mandelbrot-Kahane problem of Beno\^ i t Mandelbrot model of turbulence.

Microcanonical cascades and random homeomorphisms The Mandelbrot-Kahane problem of Beno\^ i t Mandelbrot model of turbulence

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:53.830623Z

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.

Observation 8ecf2f37-5122-4875-97d5-df240997886e · outbound

This paper cites Dubins and David A.

Microcanonical cascades and random homeomorphisms Dubins and David A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:53.602265Z

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.

Observation c5202816-189b-4480-a597-b923d108ef00 · outbound

This paper cites an unresolved cited work.

Microcanonical cascades and random homeomorphisms Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:14:53.411027Z

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.

Observation 6c3861f3-2abb-4d17-994e-1e3c7724ff73 · outbound

This paper cites On M arkov- M andelbrot martingales.

Microcanonical cascades and random homeomorphisms On M arkov- M andelbrot martingales

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:53.185701Z

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.

Observation 3668e54f-10db-4a7b-95fe-5da30c57213e · outbound

This paper cites Gilbert, Walter Willinger.

Microcanonical cascades and random homeomorphisms Gilbert, Walter Willinger

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:52.971575Z

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.

Observation 3ee084b3-ad97-4304-922d-a9f146c08080 · outbound

This paper cites Gilbert, Walter Willinger and Anja Feldmann.

Microcanonical cascades and random homeomorphisms Gilbert, Walter Willinger and Anja Feldmann

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:52.795232Z

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.

Observation bba14b09-75e3-4eda-a1f7-5e3fae64c82b · outbound

This paper cites Daniel Mauldin and Stanley C.

Microcanonical cascades and random homeomorphisms Daniel Mauldin and Stanley C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:52.595511Z

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.

Observation a9362877-0e40-4d1a-8de9-d047323c4a33 · outbound

This paper cites an unresolved cited work.

Microcanonical cascades and random homeomorphisms Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:14:52.431951Z

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.

Observation 5d6e48c0-7be1-488e-bd14-7c9793f76ea8 · outbound

This paper cites an unresolved cited work.

Microcanonical cascades and random homeomorphisms Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:14:52.202080Z

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.

Observation c7e813af-5871-469c-a58f-a4b6c2d5280e · outbound

This paper cites Sur certaines martingales de B enoit M andelbrot.

Microcanonical cascades and random homeomorphisms Sur certaines martingales de B enoit M andelbrot

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:51.973271Z

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.

Observation b5f31b0b-b6cf-45bd-8bf3-0f8342f28edc · outbound

This paper cites Sur le chaos multiplicatif.

Microcanonical cascades and random homeomorphisms Sur le chaos multiplicatif

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:14:46.317054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6132b166-0eba-4eb0-bf7a-c616e82f25bb · outbound

This paper cites Positive martingales and random measures.

Microcanonical cascades and random homeomorphisms Positive martingales and random measures

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:51.773003Z

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.

Observation 53ce2a07-18e2-4d08-865e-26e5f1a312cf · outbound

This paper cites Fractals and random measures.

Microcanonical cascades and random homeomorphisms Fractals and random measures

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:51.609584Z

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.

Observation fc085b58-7b57-42c5-a896-669464cdfb4f · outbound

This paper cites Random homeomorphisms and F ourier expansions.

Microcanonical cascades and random homeomorphisms Random homeomorphisms and F ourier expansions

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:51.436096Z

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.

Observation 0e2646a8-413d-4919-94bb-568bf158da95 · outbound

This paper cites Luzin's problem on F ourier convergence and homeomorphisms.

Microcanonical cascades and random homeomorphisms Luzin's problem on F ourier convergence and homeomorphisms

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:51.227865Z

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.

Observation dd34243a-1386-4815-aded-638bebc72e1a · outbound

This paper cites Homeomorphisms and F ourier expansion.

Microcanonical cascades and random homeomorphisms Homeomorphisms and F ourier expansion

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:50.994636Z

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.

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

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

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 4f9746ec-cbb1-4796-8943-3a999e5ad258 · outbound

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b23c93b-489a-4bf3-86fc-3ef7243319b9 · outbound

This paper cites On generalized multiplicative cascades.

Microcanonical cascades and random homeomorphisms On generalized multiplicative cascades

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:50.726598Z

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.

Observation b93065dd-3df0-443b-bf53-56c0328adebf · outbound

This paper cites Mandelbrot.

Microcanonical cascades and random homeomorphisms Mandelbrot

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:50.409341Z

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.

Observation e5fa74d7-6d10-4af8-83f9-0f24db86dc40 · outbound

This paper cites Mandelbrot.

Microcanonical cascades and random homeomorphisms Mandelbrot

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:50.091034Z

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.

Observation 6a165ea4-2b9c-4084-928d-b74890a0b142 · outbound

This paper cites Mandelbrot.

Microcanonical cascades and random homeomorphisms Mandelbrot

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:49.782688Z

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.

Observation 5b440e7b-db4e-4b57-9473-bed968e7102c · outbound

This paper cites Mandelbrot.

Microcanonical cascades and random homeomorphisms Mandelbrot

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:49.545005Z

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.

Observation d2ea32d3-e609-4561-babb-2edf518b260d · outbound

This paper cites Scaling exponents and multifractal dimensions for independent random cascades.

Microcanonical cascades and random homeomorphisms Scaling exponents and multifractal dimensions for independent random cascades

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:49.289713Z

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.

Observation 1dab9658-eb88-4674-b5bc-2456cda0adbe · outbound

This paper cites Martingales in B anach spaces , volume 155 of Cambridge Studies in Advanced Mathematics.

Microcanonical cascades and random homeomorphisms Martingales in B anach spaces , volume 155 of Cambridge Studies in Advanced Mathematics

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:49.075173Z

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.

Observation 55ac8ca0-6243-446a-98dd-1166e4729e37 · outbound

This paper cites Wavelet analysis of conservative cascades.

Microcanonical cascades and random homeomorphisms Wavelet analysis of conservative cascades

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:48.836879Z

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.

Observation e23f0a95-a890-4c54-b322-5a98c2d69f86 · outbound

This paper cites Branching random walks , volume 2151 of Lecture Notes in Mathematics.

Microcanonical cascades and random homeomorphisms Branching random walks , volume 2151 of Lecture Notes in Mathematics

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:48.626747Z

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.

Observation e9f33361-7014-438e-a117-7ba6e844894b · outbound

This paper cites Waymire and Stanley C.

Microcanonical cascades and random homeomorphisms Waymire and Stanley C

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:48.354112Z

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.

Observation 99194b8d-a4ff-444d-83ce-aac1f2fbe92c · outbound

This paper cites Waymire and Stanley C.

Microcanonical cascades and random homeomorphisms Waymire and Stanley C

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:14:48.097761Z

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.

Pith citing papers

Observation 5795625f-e952-4d75-aed0-9aa10168dbcc · inbound

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

Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability Microcanonical cascades and random homeomorphisms

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:47:27.437534Z

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.

Observation a60527a9-13f6-4023-a990-f95a21e5bcc6 · inbound

Information from coincidences cites this paper.

Information from coincidences Microcanonical cascades and random homeomorphisms

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:10:04.357401Z

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.