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math.DS2018
Central Limit theorem and cohomological equation on homogeneous spaces
Ronggang Shi
The dynamics of one parameter diagonal group actions on finite volume homogeneous spaces has a partially hyperbolic feature. In this paper we extend the Livšic type result to these…
math.DS2018★ 9 cited
Hausdorff dimension of divergent trajectories on homogeneous space
Lifan Guan, Ronggang Shi
For one parameter subgroup action on a finite volume homogeneous space, we consider the set of points admitting divergent on average trajectories. We show that the Hausdorff dimens…