The Frequency Space of a Free Group
نویسنده
چکیده
We analyze the structure of the frequency space Q(F ) of a nonabelian free group F = F (a1, . . . , ak) consisting of all shift-invariant Borel probability measures on ∂F and construct a natural action of Out(F ) on Q(F ). In particular we prove that for any outer automorphism φ of F the conjugacy distortion spectrum of φ, consisting of all numbers ||φ(w)||/||w||, where w is a nontrivial conjugacy class, is the intersection of Q and a closed subinterval of R with rational endpoints.
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ورودعنوان ژورنال:
- IJAC
دوره 15 شماره
صفحات -
تاریخ انتشار 2005