THE FREQUENCY SPACE OF A FREE GROUP
2005 ◽
Vol 15
(05n06)
◽
pp. 939-969
◽
Keyword(s):
We analyze the structure of the frequency spaceQ(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.
2018 ◽
Vol 70
(2)
◽
pp. 354-399
◽
2019 ◽
Vol 20
(03)
◽
pp. 2050022
◽
Keyword(s):
2018 ◽
Vol 20
(07)
◽
pp. 1750086
◽
Keyword(s):
1977 ◽
Vol 29
(3)
◽
pp. 541-551
◽
2019 ◽
Vol 11
(02)
◽
pp. 427-466
◽
Keyword(s):
2007 ◽
Vol 17
(3)
◽
pp. 793-805
◽
Keyword(s):
2019 ◽
Vol 43
(3)
◽
pp. 2077-2086
1990 ◽
Vol 10
(3)
◽
pp. 451-462
◽