28 citations · 30 across the 10 of their papers we have counts for
11 papers
The structure of base phi expansions
F. Michel Dekking
In the base phi expansion any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two conse…
Sumsets and fixed points of substitutions
F. Michel Dekking
In this paper we introduce a technique to determine the sumset , where is the indicator function of the 0's occurring in a fixed point of a substitution on the alphabe…
How to add two natural numbers in base phi
F. Michel Dekking
In the base phi representation any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two…
Permutations of N generated by left-right filling algorithms
F. M. Dekking
We give an in depth analysis of an algorithm that generates permutations of the natural numbers introduced by Clark Kimberling in the On Line Encyclopedia of Integer Sequences. It…
On the conjugacy class of the Fibonacci dynamical system
Michel Dekking, Mike Keane
We characterize the symbolical dynamical systems which are topologically isomorphic to the Fibonacci dynmaical system. We prove that there are infinitely many injective primitive s…
Morphisms, Symbolic sequences, and their Standard Forms
F. Michel Dekking
Morphisms are homomorphisms under the concatenation operation of the set of words over a finite set. Changing the elements of the finite set does not essentially change the morphis…