9 citations · 26 across the 12 of their papers we have counts for
4 papers · 1 filter
Boundary and Eisenstein Cohomology of
Jitendra Bajpai, Lifan Guan
In this article, Eisenstein cohomology of the arithmetic group with coefficients in any finite dimensional highest weight irreducible representation has been dete…
Dirichlet is not just Bad and Singular
Victor Beresnevich, Lifan Guan, Antoine Marnat +2
It is well known that in dimension one the set of Dirichlet improvable real numbers consists precisely of badly approximable and singular numbers. We show that in higher dimensions…
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…
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…