Combinatorical and Algebraic Structures Seminar
Session details
| Date: | 11.12.2018 |
| Speaker: | Hana Dlouhá, FJFI, České vysoké učení technické v Praze |
| Title: | Cobham's theorem and substitutions subshifts |
| Abstract: | We show and proove the following modified version of Cobham's theorem (1969). Let $\sigma$ and $\tau$ be two primitive substitutions with dominant eigenvalues $\alpha$ and $\beta$ respectively. Suppose $\alpha$ and $\beta$ are multiplicatively independent. Then, $(X_{\sigma},T)$ and $(X_{\tau},T)$ have a common factor if and only if this factor is periodic. |
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