Dynamics of free group automorphisms
Peter Brinkmann
Abstract
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∈ F and 0≤ i≤ N, the length of ϕi(x) is bounded above by a constant multiple of the sum of the lengths of x and ϕN(x), with the constant depending only on ϕ.
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