Combinatorical and Algebraic Structures Seminar

Session details

Date: 9.3.2010
Speaker: Petr Ambrož, FJFI, České vysoké učení technické v Praze
Title: On symbolic dynamics of (-\beta)-numeration
Abstract: Let $\beta>1$ be a real number and let $S_{-\beta}$ be a symbolic dynamical system of $(-\beta)$-admissible bi-infinite words. We present an overview of results obtained for such systems by Ito and Sadahiro and by Frougny and Lai. Then we discuss how these results can be transferred to the case of symbolic dynamical system given by symmetrized $(-\beta)$-transformation.

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