1 citations · 1 across the 4 of their papers we have counts for
4 papers
A natural extension for the greedy beta-transformation with three deleted digits
Karma Dajani, Charlene Kalle
We give an explicit expression for the invariant measure, absolutely continuous with respect to the Lebesgue measure, of the greedy beta-transformation with three deleted digits. W…
Two versions of a specific natural extension
Karma Dajani, Charlene Kalle
We give two versions of the natural extension of a specific greedy beta-transformation with deleted digits. We use the natural extension to obtain an explicit expression for the in…
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…
Invariant densities for random -expansions
K. Dajani, M. de Vries
Let be a non-integer. We consider expansions of the form , where the digits are generated by means of a Borel map def…