TY - CHAP
T1 - Interpolations, convexity and geometric inequalities
AU - Cordero-Erausquin, Dario
AU - Klartag, Bo'Az
N1 - Funding Information:
We thank Yanir Rubinstein and Bo Berndtsson for interesting, related discussions. Bo’az Klartag was supported in part by the Israel Science Foundation and by a Marie Curie Reintegration Grant from the Commission of the European Communities.
PY - 2012
Y1 - 2012
N2 - We survey several Talagrand type inequalities and their application to influences with the tool of hypercontractivity for both discrete and continuous, and product and non-product models. The approach covers similarly by a simple interpolation the framework of geometric influences recently developed by N. Keller, E. Mossel and A. Sen. Geometric Brascamp-Lieb decompositions are also considered in this context.
AB - We survey several Talagrand type inequalities and their application to influences with the tool of hypercontractivity for both discrete and continuous, and product and non-product models. The approach covers similarly by a simple interpolation the framework of geometric influences recently developed by N. Keller, E. Mossel and A. Sen. Geometric Brascamp-Lieb decompositions are also considered in this context.
UR - http://www.scopus.com/inward/record.url?scp=84865332643&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-29849-3_9
DO - 10.1007/978-3-642-29849-3_9
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???
AN - SCOPUS:84865332643
SN - 9783642298486
T3 - Lecture Notes in Mathematics
SP - 151
EP - 168
BT - Geometric Aspects of Functional Analysis
PB - Springer Verlag
ER -