2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.DS2011
Exactness of the Euclidean algorithm and of the Rauzy induction on the space of interval exchange transfomations
Tomasz Miernowski, Arnaldo Nogueira
The two-dimensional homogeneous Euclidean algorithm is the central motivation for the definition of the classical multidimensional continued fraction algorithms, as Jacobi-Perron,…
math.DS2011★ 2 cited
Absorbing sets of homogeneous subtractive algorithms
Tomasz Miernowski, Arnaldo Nogueira
We consider homogeneous multidimensional continued fraction algorithms, in particular a family of maps which was introduced by F. Schweiger. We prove his conjecture regarding the e…