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math.FA2011
Push forward measures and concentration phenomena
C. Hugo JimÉnez, MÁrton NaszÓdi, Rafael Villa
In this note we study how a concentration phenomenon can be transmitted from one measure to a push-forward measure . In the first part, we push forward by $π:supp(μ)\rig…
math.FA2011
Brunn-Minkowski and Zhang inequalities for Convolution Bodies
David Alonso-Gutierrez, C. Hugo Jimenez, Rafael Villa
A quantitative version of Minkowski sum, extending the definition of -convolution of convex bodies, is studied to obtain extensions of the Brunn-Minkowski and Zhang inequalities…