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 2021Show all

4 papers · 1 filter

math.CO2021★ 1 cited

Additive energies on discrete cubes

Jaume de Dios Pont, Rachel Greenfeld, Paata Ivanisvili +1

We prove that for $d \geq 0$ and $k \geq 2$ , for any subset $A$ of a discrete cube ${0, 1}^{d}$ , the $k -$ higher energy of $A$ (the number of $2 k -$ tuples $(a_{1}, a_{2}, \dots, a_{2 k})$ in $A…

math.DS2021★ 1 cited

Generalized Collatz Maps with Almost Bounded Orbits

Felipe Gonçalves, Rachel Greenfeld, Jose Madrid

If dividing by $p$ is a mistake, multiply by $q$ and translate, and so you'll live to iterate. We show that if we define a Collatz-like map in this form then, under suitable condit…

math.CO2021

Undecidable translational tilings with only two tiles, or one nonabelian tile

Rachel Greenfeld, Terence Tao

We construct an example of a group $G = Z^{2} \times G_{0}$ for a finite abelian group $G_{0}$ , a subset $E$ of $G_{0}$ , and two finite subsets $F_{1}, F_{2}$ of $G$ , such that it is u…

math.DS2021

An uncountable ergodic Roth theorem and applications

Polona Durcik, Rachel Greenfeld, Annina Iseli +2

We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed to be countable and the space need not be separable. This generalizes a previous…