The largest support to escape chaos in random multiplicative functions

Max Wenqiang Xu

Open source

DOI: 10.1073/pnas.2618812123
Published: 2026-09-14
Container: Proceedings of the National Academy of Sciences
Publisher: National Academy of Sciences
Open access: unknown

Credibility signals

uncertain Score 64/100 under policy 1.0.0. This is a metadata assessment, not a judgment of the paper's conclusions.

Show all credibility signals

supportingDOI registered: A matching record was returned by Crossref. Source: Crossref; license: CC0 metadata
supportingDOI resolves: A matching record was returned by Crossref. Source: Crossref; license: CC0 metadata
not scoredDirectory of Open Access Journals: No matching DOAJ record was present in this response. No allow-list match; this is not evidence of low credibility. Source: DOAJ; license: CC0
not scoredMEDLINE indexed: Not checked or no result supplied; no credibility inference made. Source: No authority result supplied; license: Unknown
not scoredOpenAlex core source: Not checked or no result supplied; no credibility inference made. Source: No authority result supplied; license: Unknown
not scoredKnown publisher allow-list: Not checked or no result supplied; no credibility inference made. Source: No authority result supplied; license: Unknown
not scoredROR affiliation: Not checked or no result supplied; no credibility inference made. Source: No authority result supplied; license: Unknown
not scoredRetraction Watch retraction: No retraction notice matched this DOI in the deployed snapshot. No matching event found; coverage may be incomplete. Source: Retraction Watch; license: CC BY 4.0
not scoredRetraction Watch expression of concern: No expression of concern notice matched this DOI in the deployed snapshot. No matching event found; coverage may be incomplete. Source: Retraction Watch; license: CC BY 4.0
not scoredRetraction Watch correction: No correction notice matched this DOI in the deployed snapshot. No matching event found; coverage may be incomplete. Source: Retraction Watch; license: CC BY 4.0
not scoredRetraction Watch reinstatement: No reinstatement notice matched this DOI in the deployed snapshot. No matching event found; coverage may be incomplete. Source: Retraction Watch; license: CC BY 4.0
not scoredOpen access status: Not checked or no result supplied; no credibility inference made. Source: No authority result supplied; license: Unknown
not scoredPublication license: Not checked or no result supplied; no credibility inference made. Source: No authority result supplied; license: Unknown
not scoredPublication version: A publication version was supplied but is not scored. Source: Normalized work metadata; license: Caller-provided; provenance license not supplied to scorer
supportingMetadata completeness: All 6 scored descriptive metadata groups are present. Source: Normalized work metadata; license: Caller-provided; provenance license not supplied to scorer

Cite this work

BibTeX

@article{allodium:10.1073/pnas.2618812123,
  title = {The largest support to escape chaos in random multiplicative functions},
  author = {Max Wenqiang Xu},
  year = {2026},
  journal = {Proceedings of the National Academy of Sciences},
  doi = {10.1073/pnas.2618812123},
  url = {https://doi.org/10.1073/pnas.2618812123}
}

RIS

TY  - JOUR
TI  - The largest support to escape chaos in random multiplicative functions
AU  - Max Wenqiang Xu
PY  - 2026
JO  - Proceedings of the National Academy of Sciences
DO  - 10.1073/pnas.2618812123
UR  - https://doi.org/10.1073/pnas.2618812123
ER  -

APA

Xu, M. W. (2026). The largest support to escape chaos in random multiplicative functions. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.2618812123

Source records

crossref · retrieved 2026-09-25T22:44:17.682Z