Automorphisms of free groups have asymptotically periodic dynamics
Gilbert Levitt, Martin Lustig
Abstract
We show that every automorphism α of a free group Fk of finite rank k has asymptotically periodic dynamics on Fk and its boundary ∂ Fk: there exists a positive power αq such that every element of the compactum Fk ∂ Fk converges to a fixed point under iteration of αq.
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