Growth of intersection numbers for free group automorphisms

For a fully irreducible automorphism ϕ of the free group Fk we compute the asymptotics of the intersection number n ↦ i(T, T′ϕn) for the trees T and T′ in Outer space. We also obtain qualitative information about the geometry of the Guirardel core for the trees T and T′ϕn for n large.

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