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arXiv · 1407.4174

Pl\"unnecke inequalities for measure graphs with applications

Kamil Bulinski·Alexander Fish
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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.

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BibTeXRIS

Kamil Bulinski, Alexander Fish. 2014-07-16. Pl\"unnecke inequalities for measure graphs with applications. https://doi.org/10.1017/etds.2015.51

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