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math.GR2010★ 22 cited
Statistics and compression of scl
Danny Calegari, Joseph Maher
We obtain sharp estimates on the growth rate of stable commutator length on random (geodesic) words, and on random walks, in hyperbolic groups and groups acting nondegenerately on…
math.GR2010
Stable W-length
Danny Calegari, Dongping Zhuang
We study stable W-length in groups, especially for W equal to the n-fold commutator gamma_n:=[x_1,[x_2, . . . [x_{n-1},x_n]] . . . ]. We prove that in any perfect group, for any n…