2014/11/13 by Franck Barthe, Barthe, Franck, Benoit Huou +1
Mathematics · #26D15 #28A35 #46E35 #46N30 #60B05 (Primary) #60E15 (secondary) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR) #math.FA #math.MG #math.PR #msc:26D15 #msc:28A35 #msc:46E35 #msc:46N30 #msc:60B05 #msc:60E15
paper · pdf · doi:10.48550/arxiv.1411.3564
arxiv created 2014/11/13 · arxiv updated 2014/11/14
We study the isoperimetric problem in product spaces equipped with the uniform distance. Our main result is a characterization of isoperimetric inequalities which, when satisfied on a space, are still valid for the product spaces, up a to a constant which does not depend on the number of factors. Such dimension free bounds have applications to the study of influences of variables.