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Growth of intersection numbers for free group automorphisms

For a fully irreducible automorphism ϕof the free group F_k we compute the asymptotics of the intersection number n \mapsto i(T,T'ϕ^n) for trees T,T' in Outer space. We also obtain qualitative information about the geometry of the Guirardel core for the trees T and T'ϕ^n for n large.

preprint2009arXivOpen access
Jason BehrstockMladen BestvinaMatt Clay
math.GRmath.GT
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Jason BehrstockMladen BestvinaMatt Clay

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