50 citations · 96 across the 16 of their papers we have counts for
4 papers · 1 filter
Translational tilings by axis-parallel polygonal sets
Jaume de Dios Pont, Jan Grebík, Rachel Greenfeld +1
The periodic tiling conjecture asserts that if a bounded set of finite measure tiles by translations, then it admits at least one fully periodi…
Measurable tilings by abelian group actions
Jan Grebík, Rachel Greenfeld, Václav Rozhoň +1
Let be a measure space with a measure-preserving action of an abelian group . We consider the problem of understanding the structure of measurable…
Generalized Collatz Maps with Almost Bounded Orbits
Felipe Gonçalves, Rachel Greenfeld, Jose Madrid
If dividing by is a mistake, multiply by 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…
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…