16 citations · 51 across the 31 of their papers we have counts for
5 papers · 1 filter
Inducing contractions of the mother of all continued fractions
Karma Dajani, Cor Kraaikamp, Slade Sanderson
We introduce a new, large class of continued fraction algorithms producing what are called contracted Farey expansions. These algorithms are defined by coupling two acceleration te…
Rational approximations, multidimensional continued fractions and lattice reduction
Valerie Berthé, Karma Dajani, Charlene Kalle +3
We first survey the current state of the art concerning the dynamical properties of multidimensional continued fraction algorithms defined dynamically as piecewise fractional maps…
Multiple expansions of real numbers with digits set
Karma Dajani, Kan Jiang, Derong Kong +1
For we consider expansions in base over the alphabet . Let be the set of which have a unique -expansions. For l…
Optimal expansions in non-integer bases
Karma Dajani, Martijn de Vries, Vilmos Komornik +1
For a given positive integer , let and . A sequence consisting of elements in is called an expansion of if $\sum_{i…
Metrical theory for -Rosen fractions
Karma Dajani, Cor Kraaikamp, Wolfgang Steiner
The Rosen fractions form an infinite family which generalizes the nearest-integer continued fractions. In this paper we introduce a new class of continued fractions related to the…