| Abstract: |
| In this talk, we will discuss the non-emptiness problem and some dynamical notions for graph induced symbolic shifts. We derive sufficient conditions under which non-emptiness problem and existence of periodic points for the shift space can be guaranteed. We also investigate properties such as transitivity, directional transitivity, weak mixing, directional weak mixing and mixing for the shift space under discussion. We provide necessary and sufficient criteria to establish horizontal (vertical) transitivity of the underlying shift space. We also provide examples to establish the necessity of the conditions imposed. |
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