Sökning: "horospheres"
Hittade 3 avhandlingar innehållade ordet horospheres.
1. Some applications of representation theory in homogeneous dynamics and automorphic functions
Sammanfattning : This thesis consists of an introduction and five papers in the general area of dynamics and functions on homogeneous spaces. A common feature is that representation theory plays a key role in all articles. LÄS MER
2. On the Uniform Equidistribution of Closed Horospheres in Hyperbolic Manifolds
Sammanfattning : We prove equidistribution results for (pieces of) closed horospheres in cofinite hyperbolic manifolds of dimension n+1, using spectral methods. This extends earlier results by Hejhal [Hej2] and Str¨ombergsson [St1] in dimension 2... LÄS MER
3. Asymptotic Problems on Homogeneous Spaces
Sammanfattning : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. LÄS MER