Bi-Lipschitz Expansion of Measurable Sets

Riddhipratim Basu, Vladas Sidoravicius, Allan Sly

We show that for $0<\gamma ,{\gamma }^{\prime }<1$ and for measurable subsets of the unit square with Lebesgue measure $\gamma$ there exist bi-Lipschitz maps with bounded Lipschitz constant (uniformly over…