33 citations · 41 across the 6 of their papers we have counts for
Showing 2012 · math.NTShow all
2 papers · 2 filters
math.NT2012★ 2 cited
Cubic Irrationals and Periodicity via a Family of Multi-dimensional Continued Fraction Algorithms
Krishna Dasaratha, Laure Flapan, Thomas Garrity +5
We construct a countable family of multi-dimensional continued fraction algorithms, built out of five specific multidimensional continued fractions, and find a wide class of cubic…
math.NT2012★ 3 cited
A Generalized Family of Multidimensional Continued Fractions: TRIP Maps
Krishna Dasaratha, Laure Flapan, Thomas Garrity +5
Most well-known multidimensional continued fractions, including the Mönkemeyer map and the triangle map, are generated by repeatedly subdividing triangles. This paper constructs a…