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Differential-Geometrical Methods in Statistics
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“The Mandelstam-Tamm and Margolus-Levitin inequalities play an important role in the study of quantum mechanical processes in Nature, since they provide general limits on the speed of dynamical evolution.”
From Geometric derivation of the quantum speed limit (2010) · cites this paper as [12]
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Metadata
- Authors
- Amari, S.-I.
- Venue
- Lecture Notes in Statistics
- Publisher
- Springer New York
- Published
- 1985
- ISSN
- 0930-0325 (ISSN-L)
- OpenAlex
- W1520168181
- Cited by
- 1,673
- References
- 0
- Citations by year
- 2026: 26 · 2025: 21 · 2024: 53 · 2023: 55 · 2022: 72 · 2021: 67 · 2020: 57 · 2019: 75 · 2018: 49 · 2017: 55 · 2016: 51 · 2015: 51 · 2014: 80 · 2013: 67 · 2012: 51
- FWCI
- 8.33
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Lecture notes in statistics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- differential geometry, statistical inference, statistical manifolds, information geometry
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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.
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