1 citations · 2 across the 6 of their papers we have counts for
11 papers
Actions on CAT(-1) spaces with critical exponent less than 1
Beibei Liu, Shi Wang
We show that for a discrete isometry subgroup acting on a proper CAT(-1) space X, if the critical exponent is less than , then the critical exponent equals the Hausdorff dimensi…
The natural flow and the critical exponent
Chris Connell, D. B. McReynolds, Shi Wang
Inspired by work of Besson-Courtois-Gallot, we construct a flow called the natural flow on a non-positively curved Riemannian manifold . As with the natural map, the -Jacobia…
Marked length spectrum rigidity for relatively hyperbolic groups
Thang Nguyen, Shi Wang
We consider a coarse version of the marked length spectrum rigidity: given a group with two left invariant metrics, if the marked length spectrum (the translation length function)…
An -norm-mass inequality for complete manifolds
Caterina Campagnolo, Shi Wang
We generalize an inequality of Besson-Courtois-Gallot about volume and simplicial volume of closed manifolds to the -norm of all the homology classes of complete manifolds.…
Cusps, Kleinian groups and Eisenstein series
Beibei Liu, Shi Wang
We study the Eisenstein series associated to the full rank cusps in a complete hyperbolic manifold. We show that given a Kleinian group , each full…
Geometric cycles and bounded cohomology for a cocompact lattice in
Shi Wang
We show there exists a closed locally symmetric manifold modeled on , and a non-trivial homology class in degree represented by a totall…