Local finiteness and automorphism groups of low complexity subshifts

Ronnie Pavlov, Scott Schmieding

We prove that for any transitive subshift $X$ with word complexity function $c_n(X)$, if $\mathrm{liminf}\frac{\log (c_n(X)/n)}{\log \log \log n}=0$, then the quotient group $\textrm{Au…