# Mathematical Sciences Research Institute

Home » GAAHD Postdoc Seminar: Hausdorff dimension of divergent trajectories under the diagonal geodesic flow on product space of hyperbolic spaces

# Seminar

GAAHD Postdoc Seminar: Hausdorff dimension of divergent trajectories under the diagonal geodesic flow on product space of hyperbolic spaces March 02, 2015 (11:45 AM PST - 12:30 PM PST)
Parent Program: Geometric and Arithmetic Aspects of Homogeneous Dynamics MSRI: Simons Auditorium
Speaker(s) Lei Yang (University of Nevada)
Description No Description
Video
In this talk, we will study the behavior of trajectories of diagonal geodesic flow on product space of $\dpi{300}\inline k$ copies of $\dpi{300}\inline n$-dimensional non-compact hyperbolic spaces with finite volume,  and shall show that the Hausdorff dimension of the collection of divergent trajectories is equal to $\dpi{300}\inline k(2n-1)-\frac{n-1}{2}$. This extends a result of Yitwah Cheung.