Discrete variants of Brunn–Minkowski type inequalities
Copyright policy )Discrete variants of Brunn–Minkowski type inequalities
We present an alternative, short proof of a recent discrete version of the Brunn–Minkowski inequality due to Lehec and the second named author. Our proof also yields the four functions theorem of Ahlswede and Daykin as well as some new variants.
- Department of Mathematics Yale University United States
- Yale University
- Yale University United Kingdom
- YALE UNIVERSITY
- Weizmann Institute of Science Israel
Mathematics - Metric Geometry, Probability (math.PR), Inequalities and extremum problems involving convexity in convex geometry, FOS: Mathematics, Inequalities for sums, series and integrals, Metric Geometry (math.MG), Mathematics - Probability, Brunn-Minkowski inequality
Mathematics - Metric Geometry, Probability (math.PR), Inequalities and extremum problems involving convexity in convex geometry, FOS: Mathematics, Inequalities for sums, series and integrals, Metric Geometry (math.MG), Mathematics - Probability, Brunn-Minkowski inequality
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).12 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!