Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions

Details Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions

2007-10-18

arxiv.org/abs/0710.3584v1

Mathematics

Dynamical Systems

Scientific paper

This paper studies tilings related to the beta-transformation when beta is a
Pisot number (that is not supposed to be a unit). Then it applies the obtained
results to study the set of rational numbers having a purely periodic
beta-expansion. Special focus is given to some quadratic examples.

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