Combinatorical and Algebraic Structures Seminar
Session details
| Date: | 21.2.2012 |
| Speaker: | Petr Ambrož, FJFI, České vysoké učení technické v Praze |
| Title: | Complex Pisot Numeration Systems |
| Abstract: | We will introduce results by Hama, Furukado and Ito on a generalization of classical $\beta$-numeration to complex bases. That is, on the $\lambda$-expansion of a complex number $z$ in the form $z=\sum_{n=k}^{\infty}a_n\lambda^{-n}$, $a_n\in\Gamma$, where $\Gamma$ is a finite set in $\mathbb{Z}[\lambda]$ and $\lambda$ is a complex Pisot number. |
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