5 citations · 38 across the 26 of their papers we have counts for
27 papers
On Hofstadter's G-sequence
Michel Dekking
We characterize the entries of Hofstadter's G-sequence in terms of the lower and upper Wythoff sequences. This can be used to give a short and comprehensive proof of the equality o…
The interior of randomly perturbed self-similar sets on the line
Michel Dekking, Karoly Simon, Balazs Szekely +1
Can we find a self-similar set on the line with positive Lebesgue measure and empty interior? Currently, we do not have the answer for this question for deterministic self-similar…
Counting base phi representations
Michel Dekking, Ad van Loon
In a base phi representation a natural number is written as a sum of powers of the golden mean . There are many ways to do this. How many? Even if the number of powers of is…
The Thue-Morse sequence in base 3/2
Michel Dekking
We discuss the base 3/2 representation of the natural numbers. We prove that the sum of digits function of the representation is a fixed point of a 2-block substitution on an infin…
Two-block substitutions and morphic words
Michel Dekking, Mike Keane
We consider in general two-block substitutions and their fixed points. We prove that some of them have a simple structure: their fixed points are morphic sequences. Others are intr…
On the representation of the natural numbers by powers of the golden mean
Michel Dekking, Ad van Loon
In a base phi representation a natural number is written as a sum of powers of the golden mean . There are many ways to do this. Well known is the standard representation, intro…