The S-adic Pisot Conjecture on Two Letters
نویسنده
چکیده
We prove an extension of the well-known Pisot substitution conjecture to the S-adic symbolic setting on two letters. The proof relies on the use of Rauzy fractals and on the fact that strong coincidences hold in this framework.
منابع مشابه
Geometry, Dynamics, and Arithmetic of S-adic Shifts
This paper studies geometric and spectral properties of S-adic shifts and their relation to continued fraction algorithms. Pure discrete spectrum for S-adic shifts and tiling properties of associated Rauzy fractals are established under a generalized Pisot assumption together with a geometric coincidence condition. These general results extend the scope of the Pisot substitution conjecture to t...
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تاریخ انتشار 2015