J. Woo

R\'enyi stability of $B_h$ sets: a two-order phase diagram and sharp deletion principles

A set $B$ in an abelian group is a $B_h$ set if every $h$-term sum has a unique representation up to permutation; for $h=2$ these are the Sidon sets. We study a weighted removal problem for this collision-free property: if the $h$-fold sum map has small R\'enyi entropy loss, how much probability mass must be deleted so...