George Kenison, Richard Sharp
Published 2017-08-15Version 1
In this paper, we establish statistical results for a convex co-compact action of a free group on a CAT($-1$) space where we restrict to a non-trivial conjugacy class in the group. In particular, we obtain a central limit theorem where the variance is twice the variance that appears when we do not make this restriction.
Ergodicity and central limit theorem for random interval homeomorphisms
Central limit theorem for generalized Weierstrass functions
Central Limit Theorem for Sequential Dynamical Systems
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