| Abstract: |
| In this talk we present results about ergodic-theoretic properties of
coded shift spaces. A coded shift space is defined as a closure of all bi-infinite
concatenations of words from a fixed countable generating set. We derive
sufficient conditions for the uniqueness of measures of maximal entropy and
equilibrium states of H\{o}lder continuous potentials based on the partition of the coded
shift into its concatenation set (sequences that are concatenations of generating words)
and its residual set (sequences added under the closure). We also discuss
flexibility results for the entropy on the sequential and residual set. Finally, we present
a local structure theorem for intrinsically ergodic coded shift spaces which shows
that our results apply to a larger class of coded shift spaces compared to previous works
by Climenhaga, Climenhaga and Thompson, and Pavlov. |
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