### Statistics in conjugacy classes in free groups

Ergodic Theory and Dynamical Systems Seminar

9th November 2017, 3:00 pm – 4:00 pm

Howard House, 4th Floor Seminar Room

Under certain conditions, asymptotic statistics have been established for free groups acting on hyperbolic spaces. In this talk we consider results when we restrict the group elements to a non-trivial conjugacy class. For example, in joint work with Richard Sharp, we obtain a central limit theorem where the variance is twice the variance that appears when we do not make this restriction.

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