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It is well known for an irreducible free group automorphism that its growthrate is equal to the minimal Lipschitz displacement of its action onCuller-Vogtmann space. This follows as a consequence of the existence of traintrack representatives for the automorphism.  We extend this result to the general - possibly reducible - case as well asto the free product situation where growth is replaced by `relative growth'.

Growth and displacement of free product automorphisms