The DOI matches its Crossref record; 42 of the 42 references it cites were found in a registry or an index.
The Brunn-Minkowski inequality
Open accessAbstract
In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of ${\mathbb R}^n$, and deserves to be better known. This guide explains the relationship between the Brunn-Minkowski inequality and other inequalities in geometry and analysis, and some applications.
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Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
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Convex Bodies: The Brunn–Minkowski Theory
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Logarithmic Sobolev Inequalities
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Cited by
Tensor products of convex sets and the volume of separable states onNqudits
Aubrun, G., & Szarek, S. J. (2006) · Physical Review A · doi:10.1103/physreva.73.022109 · Cited by 74
Metadata
- Authors
- Gardner, R. J.
- Venue
- Bulletin of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 2002-04-08
- Volume
- 39
- Issue
- 03
- Pages
- 355-406
- ISSN
- 0002-9904 (ISSN-L)
- 0273-0979
- OpenAlex
- W2028712970
- Cited by
- 894
- References
- 42
- FWCI
- 27.28
- Type
- journal article
- Language
- en
- Open access
- diamond
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