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math.MG2020
A remark on Chapple-Euler Theorem in non Euclidean geometry
Takeo Noda, Shin-ichi Yasutomi
In non-Euclidean geometry, there are several known correspondings to Chapple-Euler Theorem. This remark shows that those results yield expressions corredponding to the well-known f…
math.DS2020
Ergodicity for -adic continued fraction algorithms
Hui Rao, Shin-ichi Yasutomi
Following Schweiger's generalization of multidimensional continued fraction algorithms, we consider a very large family of -adic multidimensional continued fraction algorithms,…