37 citations · 122 across the 27 of their papers we have counts for
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math.DS2020★ 2 cited
Divergent trajectories on products of homogeneous spaces
Jinpeng An, Lifan Guan, Antoine Marnat +1
In this paper, we determine the Hausdorff dimension of the set of points with divergent trajectories on the product of certain homogeneous spaces. The flow is allowed to be weighte…
math.DS2020★ 5 cited
Nondense orbits on homogeneous spaces and applications to geometry and number theory
Jinpeng An, Lifan Guan, Dmitry Kleinbock
Let be a Lie group, a discrete subgroup, , and an affine map from to itself. We give conditions on a submanifold of guaranteeing that the se…