Characterizations of words with many periods.
Some applications of Baker's sharpened bounds to diophantine equations
On the irrationality of factorial series
On the irrationality of polynomial Cantor series
Substitutions, abstract number systems and the space filling property
In this paper we study multi-dimensional words generated by fixed points of substitutions by projecting the integer points on the corresponding broken halfline. We show for a large class of substitutions that the resulting word is the restriction of a linear function modulo and that it can be decided whether the resulting word is space filling or not. The proof uses lattices and the abstract number system associated with the substitution.
Asymptotic densities of sets of positive integers
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