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math.DS2022★ 2 cited
On the topological entropy of (a,b)-continued fraction transformations
Adam Abrams, Svetlana Katok, Ilie Ugarcovici
We study the topological entropy of a two-parameter family of maps related to (a,b)-continued fraction algorithms and prove that it is constant on a square within the parameter spa…
math.DS2022
Destruction of CPE-normality along deterministic sequences
Adam Abrams, Tomasz Downarowicz
Let be a shift-invariant measure on , where is a finite or countable alphabet. We say that an infinite subset (where $s…