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- W2171844310 abstract "We prove that every linear-activity automaton group is amenable. The proof is based on showing that a sufficiently symmetric random walk on a specially constructed degree 1 automaton group -- the mother group -- has asymptotic entropy 0. Our result answers an open question by Nekrashevich in the Kourovka notebook, and gives a partial answer to a question of Sidki." @default.
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- W2171844310 date "2013-01-01" @default.
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- W2171844310 title "Amenability of linear-activity automaton groups" @default.
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- W2171844310 doi "https://doi.org/10.4171/jems/373" @default.
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