2 citations · 4 across the 3 of their papers we have counts for
3 papers
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…
math.DS2011★ 1 cited
Orbit structure of interval exchange transformations with flip
Arnaldo Nogueira, Benito Pires, Serge Troubetzkoy
A sharp bound on the number of invariant components of an interval exchange transformation is provided. More precisely, it is proved that the number of periodic components n_per an…
math.NT2011★ 1 cited
Continued fractions for complex numbers and values of binary quadratic forms
S. G. Dani, Arnaldo Nogueira
We describe various properties of continued fraction expansions of complex numbers in terms of Gaussian integers. Numerous distinct such expansions are possible for a complex numbe…