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math.DS2021
Benjamini-Schramm convergence of periodic orbits
Amir Mohammadi, Kasra Rafi
We prove a criterion for Benjamini-Schramm convergence of periodic orbits of Lie groups. This general observation is then applied to homogeneous spaces and the space of translation…
math.DS2018
Renormalizing an infinite rational IET
W. Patrick Hooper, Kasra Rafi, Anja Randecker
We study an interval exchange transformation of [0,1] formed by cutting the interval at the points 1/n and reversing the order of the intervals. We find that the transformation is…