3 citations · 7 across the 3 of their papers we have counts for
3 papers
Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences
Ilya Amburg, Krishna Dasaratha, Laure Flapan +6
The Stern diatomic sequence is closely linked to continued fractions via the Gauss map on the unit interval, which in turn can be understood via systematic subdivisions of the unit…
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…
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…