Dynamics of Free Group Automorphisms
We present a coarse convexity result for the dynamics of free group automorphisms: Given an automorphism ø of a finitely generated free group F, we show that for all x ∈ F and 0 ≤ i ≤ N, the length of ø i (x) is bounded above by a constant multiple of the sum of the lengths of x and ø N (x), with the constant depending only on ø.
Mathematics Subject Classification (2000)37E30
KeywordsFree group automorphisms train tracks
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