29 citations · 68 across the 21 of their papers we have counts for
27 papers
Constructions of normal numbers with infinitely many digits
Aafko Boonstra, Charlene Kalle
Let be any ordered probability sequence, i.e., satisfying for each and . We const…
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy
Jonny Imbierski, Charlene Kalle, Reza Mohammadpour
In this article, we calculate the Birkhoff spectrum in terms of the Hausdorff dimension of level sets for Birkhoff averages of continuous potentials for a certain family of diagona…
Rational approximation with generalised -Lüroth expansions
Yan Huang, Charlene Kalle
For a fixed , each real number can be represented by many different generalised -Lüroth expansions. Each such expansion produces for the number a sequence o…
Pseudo-random number generation with -encoders
Charlene Kalle, Evgeny Verbitskiy, Benthen Zeegers
The -encoder is an analog circuit that converts an input signal into a finite bit stream . The bits are correlated and therefore are not immedia…
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…
Iterated function systems of affine expanding and contracting maps on the unit interval
Ale Jan Homburg, Charlene Kalle
We analyze the two-point motions of iterated function systems on the unit interval generated by expanding and contracting affine maps, where the expansion and contraction rates are…