Bounded remainder sets, bounded distance equivalent cut-and-project sets, and equidecomposability

Mark Mordechai Etkind, Sigrid Grepstad, Mihail N. Kolountzakis +1

We use the measurable Hall's theorem due to Cieśla and Sabok to prove that (i) if two measurable sets $A,B\subset {\mathbb{R}}^d$ of the same measure are bounded remainder sets wit…