%0 Journal Article %T HD$0$L $omega$-equivalence and periodicity problems in the primitive case %A Fabien Durand %J Uniform Distribution Theory %D 2012 %I Mathematical Institute of the Slovak Academy of Sciences %X In this paper I would like to witness the mathematical inventiveness of G. Rauzy through a personnal exchanges I had with him.The objects that will emerge will be used to treat the decidability of the HD$0$L $omega$-equivalence and periodicity problems in the primitive case. %K HD0L %K decidability %K periodicity %K return words %U http://www.boku.ac.at/MATH/udt/vol07/no1/10Durand25-11.pdf