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math.DS2021★ 1 cited
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…
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…