The automorphism group of a shift of slow growth is amenable
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.126
Abstract: Suppose $(X,\unicode[STIX]{x1D70E})$ is a subshift, $P_{X}(n)$ is the word complexity function of $X$, and $\text{Aut}(X)$ is the group of automorphisms of $X$. We show that if $P_{X}(n)=o(n^{2}/\log ^{2}n)$, then $\text{Aut}(X)$ is amenable (as a countable,… read more here.
Keywords: shift slow; slow growth; group shift; group ... See more keywords
Pd-Promoted Cyclization of (Z)-Pent-2-en-4-yn-1-yl Alkanoates Leading to Furans via an Acyl Group Shift and Further Synthetic Transformation.
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DOI: 10.1021/acs.orglett.2c03147
Abstract: Palladium-promoted acyl migration was observed in the reaction of (Z)-pent-2-en-4-yn-1-yl alkanoates in the presence of DBU to yield 2-(alkanoylmethyl)furan derivatives (2) in high yields. Compounds 2 then underwent oxidative decarbonylation to afford 2-acylfurans with O2… read more here.
Keywords: group shift; acyl group; pent alkanoates; cyclization ... See more keywords