37 citations · 122 across the 27 of their papers we have counts for
27 papers
Rigidity of stable Lyapunov exponents and integrability for Anosov maps
Jinpeng An, Shaobo Gan, Ruihao Gu +1
Let be a non-invertible irreducible Anosov map on -torus. We show that if the stable bundle of is one-dimensional, then has the integrable unstable bundle, if and on…
On the small measure expansion phenomenon in connected noncompact nonabelian groups
Jinpeng An, Yifan Jing, Chieu-Minh Tran +1
Suppose is a connected noncompact locally compact group, are nonempty and compact subsets of , is a left Haar measure on . Assuming that is unimodular, and…
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…
Bounded orbits of Diagonalizable Flows on finite volume quotients of products of
Jinpeng An, Anish Ghosh, Lifan Guan +1
We prove a number field analogue of W. M. Schmidt's conjecture on the intersection of weighted badly approximable vectors and use this to prove an instance of a conjecture of An, G…
Bounded orbits of diagonalizable flows on
Jinpeng An, Lifan Guan, Dmitry Kleinbock
We prove that for any countably many one-parameter diagonalizable subgroups of , the set of such that…