2 papers
math.DS2026
The natural extension of the -transformation
Shigeki Akiyama, Hiromi Ei, Hiroaki Ito
We give a concrete construction of a natural extension of -transformation when is greater than the golden mean. Our construction relies on its Markov diagram and the eige…
math.DS2022
Self-duality of multidimensional continued fractions
Hiroaki Ito
F.~Schweiger introduced the fibred system in \cite{Schweiger-MCF}, to unify and generalize many known continued fraction algorithms. An advantage of a fibred system is that it ofte…