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Pré-Publication, Document De Travail Année : 2004

Automorphisms of free groups have asymptotically periodic dynamics

Résumé

We show that every automorphism $\alpha$ of a free group $F_k$ of finite rank $k$ has {\it asymptotically periodic\/} dynamics on $F_k$ and its boundary $\partial F_k$: there exists a positive power $\alpha^q$ such that every element of the compactum $F_k \cup \partial F_k$ converges to a fixed point under iteration of $\alpha^q$.
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Dates et versions

hal-00002311 , version 1 (26-07-2004)

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Citer

Gilbert Levitt, Martin Lustig. Automorphisms of free groups have asymptotically periodic dynamics. 2004. ⟨hal-00002311⟩
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