Rachel Greenfeld

activity

20162026

most citedFuglede's spectral set conjecture for convex polytopes

50 citations · 96 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CO2022★ 18 cited

A counterexample to the periodic tiling conjecture

Rachel Greenfeld, Terence Tao

The periodic tiling conjecture asserts that any finite subset of a lattice $Z^{d}$ which tiles that lattice by translations, in fact tiles periodically. In this work we disp…

math.CO2022

A counterexample to the periodic tiling conjecture (announcement)

Rachel Greenfeld, Terence Tao

The periodic tiling conjecture asserts that any finite subset of a lattice $Z^{d}$ which tiles that lattice by translations, in fact tiles periodically. We announce here a d…

math.DS2022

Measurable tilings by abelian group actions

Jan Grebík, Rachel Greenfeld, Václav Rozhoň +1

Let $X$ be a measure space with a measure-preserving action $(g, x) \mapsto g \cdot x$ of an abelian group $G$ . We consider the problem of understanding the structure of measurable…