By Darren Creutz and others

We introduce a class of rank-one transformations, which we call extremely elevated staircase transformations. We prove that they are measure-theoretically mixing and, for any *f : \mathbb{N} \to \mathbb{N}* with *f(n)/n* increasing and *\sum 1/f(n) < \infty*, that there exists an extremely elevated staircase with word complexity *p(n) = o(f(n))*.... Show more

January 4, 2022

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