Dynamics of free group automorphisms

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dc.creatorBrinkmann, Peter
dc.date2003-08-20
dc.date2008-06-17
dc.date.accessioned2026-07-07T09:44:52Z
dc.date.available2026-07-07T09:44:52Z
dc.descriptionWe 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 $ϕ$.
dc.description35 pages, 6 figures; updated to reflect arXiv:0806.2889v1 in particular
dc.identifierhttps://arxiv.org/abs/math/0308199
dc.identifierhttp://arxiv.org/abs/math/0308199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163025
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject37E30
dc.titleDynamics of free group automorphisms
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