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- W3039231196 abstract "For a homeomorphism $T colon X to X$ of a compact metric space $X$, the stabilized automorphism group $text{Aut}^{(infty)}(T)$ consists of all self-homeomorphisms of $X$ which commute with some power of $T$. Motivated by the study of these groups in the context of shifts of finite type, we introduce a certain entropy for groups called local $mathcal{P}$ entropy. We show that when $(X,T)$ is a non-trivial mixing shift of finite type, the local $mathcal{P}$ entropy of the group $text{Aut}^{(infty)}(T)$ is determined by the topological entropy of $(X,T)$. We use this to give a complete classification of the isomorphism type of the stabilized automorphism groups of full shifts." @default.
- W3039231196 created "2020-07-10" @default.
- W3039231196 creator A5076813405 @default.
- W3039231196 date "2020-07-04" @default.
- W3039231196 modified "2023-09-27" @default.
- W3039231196 title "Local $mathcal{P}$ entropy and stabilized automorphism groups of subshifts" @default.
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- W3039231196 hasPublicationYear "2020" @default.
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