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math.DS2012★ 3 cited
Invariant distributions and cohomology for geodesic flows and higher cohomology of higher-rank Anosov actions
Felipe A. Ramirez
We are motivated by a conjecture of A. and S. Katok to study the smooth cohomologies of a family of Weyl chamber flows. The conjecture is a natural generalization of the Livshitz T…
math.DS2012
Limit theorems for rank-one Lie groups
Alexander Gorodnik, Felipe A. Ramirez
We investigate asymptotic behaviour of averaging operators for actions of simple rank-one Lie groups. It was previously known that these averaging operators converge almost everywh…