Purely Periodic β-Expansions with Pisot Unit Bases over Laurent Series

@inproceedings{Jellali2008PurelyP,
  title={Purely Periodic β-Expansions with Pisot Unit Bases over Laurent Series},
  author={M. Jellali and Klaus Scheicher},
  year={2008}
}
The present paper deals with β-expansions in algebraic function fields. If β is a Pisot unit, we characterise the elements whose β-expansion is purely periodic. In order to pursue this characterisation, we introduce a variant of the Rauzy fractal.