3 papers
cs.DM2008
Periodicity, repetitions, and orbits of an automatic sequence
Jean-Paul Allouche, Narad Rampersad, Jeffrey Shallit
We revisit a technique of S. Lehr on automata and use it to prove old and new results in a simple way. We give a very simple proof of the 1986 theorem of Honkala that it is decidab…
math.NT2006
A note on univoque self-Sturmian numbers
Jean-Paul Allouche
We compare two sets of (infinite) binary sequences whose suffixes satisfy extremal conditions: one occurs when studying iterations of a unimodal continuous map from the unit interv…
math.NT2006
Von Koch and Thue-Morse revisited
J. -P. Allouche, G. Skordev
We revisit the relation between the von Koch curve and the Thue-Morse sequence given in a recent paper of Ma and Goldener by relating their study to papers written by Coquet and De…