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The Concentration of Measure Phenomenon
Abstract
Concentration functions and inequalities Isoperimetric and functional examples Concentration and geometry Concentration in product spaces Entropy and concentration Transportation cost inequalities Sharp bounds of Gaussian and empirical processes Selected applications References Index.
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Cited by
Exact Matrix Completion via Convex Optimization
Candès, E. J., & Recht, B. (2009) · Foundations of Computational Mathematics · doi:10.1007/s10208-009-9045-5 · Cited by 4,877
A Simple Proof of the Restricted Isometry Property for Random Matrices
Baraniuk, R., Davenport, M., DeVore, R., & Wakin, M. (2008) · Constructive Approximation · doi:10.1007/s00365-007-9003-x · Cited by 2,372
Barren plateaus in quantum neural network training landscapes
McClean, J. R., Boixo, S., Smelyanskiy, V. N., Babbush, R., & Neven, H. (2018) · Nature Communications · doi:10.1038/s41467-018-07090-4 · Cited by 2,329
Concentration Inequalities: A Nonasymptotic Theory of Independence
Boucheron, S., Lugosi, G., & Massart, P. (2013) · doi:10.1093/acprof:oso/9780199535255.001.0001 · Cited by 1,768
Compressed Sensing Off the Grid
Tang, G., Bhaskar, B. N., Shah, P., & Recht, B. (2013) · IEEE Transactions on Information Theory · doi:10.1109/tit.2013.2277451 · Cited by 1,163
Metadata
- Authors
- Ledoux, M.
- Venue
- Mathematical Surveys and Monographs
- Publisher
- American Mathematical Society
- Published
- 2005-02-14
- ISSN
- 0885-4653 (ISSN-L)
- 0076-5376
- 2331-7159
- OpenAlex
- W1573820523
- Cited by
- 1,700
- References
- 0
- FWCI
- 30.77
- Type
- book
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The Concentration of Measure Phenomenon. https://app.cochat.ai/papers/10.1090/surv/089
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- Ledoux, M. (2005). The Concentration of Measure Phenomenon. Mathematical Surveys and Monographs. https://doi.org/10.1090/surv/089
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
