Hassell, AndrewHillairet, LucMarzuola, Jeremy2015-12-080360-5302http://hdl.handle.net/1885/37098In this note, we extend the results on eigenfunction concentration in billiards as proved by the third author in [8]. There, the methods developed in Burq and Zworski [3] to study eigenfunctions for billiards which have rectangular components were applied. Here we take an arbitrary polygonal billiard B and show that eigenfunction mass cannot concentrate away from the vertices; in other words, given any neighborhood U of the vertices, there is a lower bound, for some c=c(U)>0 and any eigenfunction u.Keywords: Control region; Eigenfunction concentration; Polygonal billiards; Semiclassical measures200910.1080/036053009027689092016-02-24