Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities
Author:
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00039-009-0001-y.pdf
Reference13 articles.
1. K. Ball, Convex geometry and functional analysis, in “Handbook of the Geometry of Banach Spaces, Vol. I, (W. Johnson, J. Lindenstrauss, eds.), North-Holland, Amsterdam (2001), 161–194.
2. Barthe F.: On a reverse form of the Brascamp–Lieb inequality. Invent. Math. 134(2), 235–361 (1998)
3. F. Barthe, D. Cordero–Erausquin, Inverse Brascamp–Lieb inequalities along the heat equation, Geometric Aspects of Functional Analysis (2002–2003) (V. Milman, G. Schechtman, eds.), Springer Lecture Notes in Mathematics 1850 (2004), 65–71.
4. Barthe F., Cordero–Erausquin D., Maurey B.: Entropy of spherical marginals and related inequalities. J. Math. Pures Appl. 86(2), 89–99 (2006)
5. F. Barthe, D. Cordero–Erausquin, M. Ledoux, B. Maurey, work in progress).
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