Pl\"unnecke inequalities for measure graphs with applications
Dynamical Systems
2015-10-14 v2 Combinatorics
Number Theory
Abstract
We generalize Petridis's new proof of Pl\"unnecke's graph inequality to graphs whose vertex set is a measure space. Consequently, this gives new Pl\"unnecke inequalities for measure preserving actions which enable us to deduce, via a Furstenberg correspondence principle, Banach density estimates in countable abelian groups that improve on those given by Jin.
Keywords
Cite
@article{arxiv.1407.4174,
title = {Pl\"unnecke inequalities for measure graphs with applications},
author = {Kamil Bulinski and Alexander Fish},
journal= {arXiv preprint arXiv:1407.4174},
year = {2015}
}
Comments
24 pages, 1 figure