The DOI matches its Crossref record.
On Equivalence of Infinite Product Measures
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Accordingly, the generalised angle between arbitrary quantum states is given by the Bures angle [64,65]”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [64]
Citations
Cites
Still being checked.
Cited by
Sorted by citations
The Divergence and Bhattacharyya Distance Measures in Signal Selection
Kailath, T. (1967) · IRE Transactions on Communications Systems · doi:10.1109/tcom.1967.1089532 · Cited by 1,860
The ‘transition probability’ in the state space of a—algebra
Uhlmann, A. (1976) · Reports on Mathematical Physics · doi:10.1016/0034-4877(76)90060-4 · Cited by 1,649
Rényi Divergence and Kullback-Leibler Divergence
van Erven, T., & Harremoës, P. (2014) · IEEE Transactions on Information Theory · doi:10.1109/tit.2014.2320500 · Cited by 1,688
The Selection of Prior Distributions by Formal Rules
Kass, R. E., & Wasserman, L. (1996) · Journal of the American Statistical Association · doi:10.1080/01621459.1996.10477003 · Cited by 1,291
On Choosing and Bounding Probability Metrics
Gibbs, A. L., & Su, F. E. (2002) · International Statistical Review · doi:10.1111/j.1751-5823.2002.tb00178.x · Cited by 1,199
Metadata
- Authors
- Kakutani, S.
- Corresponding author
- Kakutani, Shizuo
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1948-01
- Volume
- 49
- Issue
- 1
- Pages
- 214
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2320259161
- Cited by
- 424
- References
- 0
- Citations by year
- 2026: 5 · 2025: 9 · 2024: 10 · 2023: 8 · 2022: 10 · 2021: 9 · 2020: 12 · 2019: 11 · 2018: 16 · 2017: 7 · 2016: 8 · 2015: 15 · 2014: 11 · 2013: 12 · 2012: 13
- FWCI
- 3.18
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Annals of Mathematics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Mathematics › Mathematical Physics › p-Adic Analysis and Mathematical Physics
- Keywords
- measurement invariance, product probability spaces
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review