Bottom of spectrum and equivariant family of measures at the boundary in negative curvature.
François Ledrappier (University of Notre Dame)
MSRI: Simons Auditorium
The universal cover of a compact negatively curved manifold has strong homogeneity properties at infinity. We present such properties related to the bottom of the spectrum of the Laplacian, equivariant family of measures at the boundary and large time asymptotic of the heat kernel. This is joint work with Seonhee Lim.