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math.DS2019
Matching for a family of infinite measure continued fraction transformations
Charlene Kalle, Niels Langeveld, Marta Maggioni +1
As a natural counterpart to Nakada's -continued fraction maps, we study a one-parameter family of continued fraction transformations with an indifferent fixed point. We prove th…
math.DS2019★ 1 cited
A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs
Claudio Bonanno, Alessio Del Vigna, Sara Munday
We study the two-dimensional continued fraction algorithm introduced in \cite{garr} and the associated \emph{triangle map} , defined on a triangle . We in…