Dynamics of free group automorphisms

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We present a coarse convexity result for the dynamics of free group automorphisms: Given an automorphism $ϕ$ of a finitely generated free group $F$, we show that for all $x\in F$ and $0\leq i\leq N$, the length of $ϕ^i(x)$ is bounded above by a constant multiple of the sum of the lengths of $x$ and $ϕ^N(x)$, with the constant depending only on $ϕ$.
35 pages, 6 figures; updated to reflect arXiv:0806.2889v1 in particular

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Group Theory, Geometric Topology, 37E30

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http://salesiana.dossiersoluciones.com/handle/123456789/163025

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308199
 http://arxiv.org/abs/math/0308199

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arXiv